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Titrate:
SSLS118 - Square plate subjected to a sinusoidal pressure
Date:
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Author (S):
P. MASSIN, NR. RAHNI
Key
:
V3.03.118-A
Page:
1/62
Manual of Validation
V3.03 booklet: Linear statics of the plates and hulls
HI-75/01/010/A
Organization (S):
EDF/MTI/MN, CS IF















Manual of Validation
V3.03 booklet: Linear statics of the plates and hulls
V3.03.118 document



SSLS118 - Square plate posed subjected
with a sinusoidal pressure


Summary:

One treats the case of a multi-layer full-course square plate then, simply supported and subjected to one
sinusoidal pressure.
Displacement in the center is calculated, the stresses
xx
,
yy
,
xy
,
xz
,
yz
with the lower interfaces
averages and higher, efforts of membrane
xx
NR
,
yy
NR
,
xy
NR
, sharp efforts
X
T
,
y
T
and them
moments
xx
M
,
yy
M
and
xy
M
.

The test gathers 14 modelings: with regard to modelings A with F, the results obtained are
compared for modelings DKQ, DSQ, DKT, DST, COQUE_3D with triangular meshs and
COQUE_3D with rectangular meshs.
Modelings G and H make it possible to test the results in a reference mark user different from the total reference mark.
Modelings I and J measure the sensitivity of the results to the smoothness of the mesh, for the configuration
DSQ.
Modelings K with NR relate to the multi-layer plate, for modelings DST and DSQ, in reference mark
total and user. They make it possible to estimate the distribution of the plane stresses and transverse shearing
inside the plate.
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Titrate:
SSLS118 - Square plate subjected to a sinusoidal pressure
Date:
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Author (S):
P. MASSIN, NR. RAHNI
Key
:
V3.03.118-A
Page:
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Manual of Validation
V3.03 booklet: Linear statics of the plates and hulls
HI-75/01/010/A
1
Problem of reference
1.1 Geometry
1.2 Properties
of
materials
E = 25 AP
= 0.25
= 1 kg/m
3
1.3
Boundary conditions and loadings
Simple support plate
C.L. :
AB
DX = 0.
DZ = 0.
DRY=0.
MY = 0.
BC
DY = 0.
DZ = 0.
DRX=0.
MX = 0.
CD
DX = 0.
DZ = 0.
DRY=0.
MY = 0.
DA
DY = 0.
DZ = 0.
DRX=0.
MX = 0.
Not O
DX = 0.
DY = 0.
DRX=0.
DRY=0.
DRZ=0.
Loading:
FORCE_COQUE
Sinusoidal pressure
P
With
has
y
has
X
F
P
sin
sin
0
=
, where
1
0
=
F
and
1
=
has
1.4 Conditions
initial
Without object for the static analysis.
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Titrate:
SSLS118 - Square plate subjected to a sinusoidal pressure
Date:
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Author (S):
P. MASSIN, NR. RAHNI
Key
:
V3.03.118-A
Page:
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Manual of Validation
V3.03 booklet: Linear statics of the plates and hulls
HI-75/01/010/A
2
Reference solution
2.1
Method of calculation used for the reference solution
The analytical solution of reference is based on the theory of Coils-Kirchhoff, usually used
for the plates known as “thin” [bib1].
Taking into account the problem and in any point of the plate, one has for the calculation of the arrow:
has
y
has
X
D
has
F
W
sin
sin
4
4
4
0
=
with:
(
)
2
3
1
12
-
=
Eh
D
,
1
0
=
F
,
1
=
has
and
25
.
0
=
For the calculation of the moments, the theory leads to the following expressions:
(
)
(
)
has
y
has
X
M
M
M
has
y
has
X
M
xy
xx
yy
xx
cos
cos
1
sin
sin
1
-
-
=
=
+
=
with
2
2
0
4
has
F
=
For the sharp efforts, one obtains:
has
y
has
X
has
F
T
has
y
has
X
has
F
T
y
X
cos
sin
2
sin
cos
2
0
0
=
=
For a homogeneous plate, the plane stresses are given by:
[]






=






xy
yy
xx
xy
yy
xx
M
M
M
With
Z
with
[]
[]
I
H
With
3
12
=
and
Z
the position in the thickness of the plate
and stresses shear transverse by:
()
[
]




=




y
X
yz
xz
T
T
Z
D
1
,
with
()
[
]
[]
I
Z
H
H
Z
D




-


=
2
2
3
1
2
6
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Code_Aster
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Titrate:
SSLS118 - Square plate subjected to a sinusoidal pressure
Date:
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Author (S):
P. MASSIN, NR. RAHNI
Key
:
V3.03.118-A
Page:
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Manual of Validation
V3.03 booklet: Linear statics of the plates and hulls
HI-75/01/010/A
2.2
Results of reference
For each modeling, one calculates:
·
in the center of the plate, displacement,
·
in the center of the plate and in the middle of side AB, the stresses
xx
,
yy
,
xy
,
xz
,
yz
on
plans:
­
inferior, means and superior of the plate in the full-course case,
­
inferior, means and superior of each section in the multi-layer case (5 layers),
·
in the center, with the corners and in the middle of sides AB and AD, the efforts of membrane
xx
NR
,
yy
NR
,
xy
NR
,
sharp efforts
X
T
,
y
T
and moments
xx
M
,
yy
M
and
xy
M
.
The expression of these quantities to the points O, A, B, C, D gives:
W
xx
M
yy
M
xy
M
X
T
y
T
O
(
)
3
4
2
1
3
Eh
-
(
)
+
1
(
)
+
1
0 0 0
With -
0
0
(
)
-
-
1
0 0
B -
0
0
(
)
-
1
0 0
B1 -
0
0
0
0
2
/
1
C -
0
0
(
)
-
-
1
0 0
D -
0
0
(
)
-
1
0 0
Numerical application:
(
)
1549
.
1
1
3
3
4
2
=
-
Eh
,
(
)
031662
.
0
1
=
+
,
(
)
018997
.
0
1
=
-
1591
.
0
2
/
1
=
The distribution of the plane stresses and shearing at the points O and B1 inside the plate is
the following one:
O
xx
yy
xy
xz
yz
2
/
H
18.9972 18.9972
0
0
0
10
/
3
H
11.3983 11.3983
0
0
0
10
/
H
3.7994 3.7994 0 0
0
0 0
0
0 0
0
­
10
/
H
­ 3.7994 ­ 3.7994
0
0
0
­
10
/
3
H
­ 11.3983 ­ 11.3983
0
0 0
­
2
/
H
­ 18.9972 ­ 18.9972
0
0 0
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Code_Aster
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Version
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Titrate:
SSLS118 - Square plate subjected to a sinusoidal pressure
Date:
16/11/01
Author (S):
P. MASSIN, NR. RAHNI
Key
:
V3.03.118-A
Page:
5/62
Manual of Validation
V3.03 booklet: Linear statics of the plates and hulls
HI-75/01/010/A
Lay down 1
3 sleep
2 sleep
4 sleep
5 sleep
H/2
3h/10
H/10
H
0

B1
xx
yy
xy
xz
yz
2
/
H
0 0 0
0
0
10
/
3
H
0 0 0
0
1.5278
10
/
H
0 0 0
0
2.3777
0 0
0
0 0
2.3873
­
10
/
H
0 0 0
0
2.3777
­
10
/
3
H
0 0 0
0
1.5278
­
2
/
H
0 0 0
0
0

2.3
Uncertainty on the solution
Analytical solution.

2.4 References
bibliographical
[1]
BATOZ and DHATT. Modeling of the structures by finite elements. Beams and Plates.
Volume 2 HERMES, 1990.
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Titrate:
SSLS118 - Square plate subjected to a sinusoidal pressure
Date:
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P. MASSIN, NR. RAHNI
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:
V3.03.118-A
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Manual of Validation
V3.03 booklet: Linear statics of the plates and hulls
HI-75/01/010/A
3 Modeling
With
3.1
Characteristics of modeling
Quadrangular element of hull DKQ.
The reference mark user is confused with the reference mark of orthotropism.
Limiting conditions:
DDL_IMPO
(GROUP_NO: AB, DX: 0., DZ: 0., DRY:0.)
(GROUP_NO: BC, DY: 0., DZ: 0., DRX:0.)
(GROUP_NO: CD, DX: 0., DZ: 0., DRY:0.)
(GROUP_NO: DA, DY: 0., DZ: 0., DRX:0.)
(GROUP_NO: O, DX: 0., DY: 0., DRX:0., DRY:0., DRZ:0.)
FORCE_ARETE
(GROUP_NO: AB MY:0.)
(GROUP_NO: BC MX:0.)
(GROUP_NO: CD MY:0.)
(GROUP_NO: DA MX:0.)

Not O
Meshs: M66, M67, M78, M79
Not A
Net: M1
Not B
Net: M12
Not C
Net: M144
Not D
Net: M133
Not B1
Meshs: M6, M7
Not D1
Meshs: M73, M61
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Titrate:
SSLS118 - Square plate subjected to a sinusoidal pressure
Date:
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P. MASSIN, NR. RAHNI
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:
V3.03.118-A
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Manual of Validation
V3.03 booklet: Linear statics of the plates and hulls
HI-75/01/010/A
3.2 Characteristics
mesh
A number of nodes: 171
A number of meshs and type: 144 QUAD4

3.3 Functionalities
tested
Controls
AFFE_MODELE
“MECHANICAL”
“DKT”
MODI_MAILLAGE ORIE_NORME_COQUE
AFFE_CARA_ELEM HULL
THICK
ANGLE_REP
DEFI_MATERIAU ELAS_ORTH
DEFI_COQU_MULT SLEEP
THICK
ORIENTATION
AFFE_CHAR_MECA FORCE_COQUE
NEAR
ALL
LIAISON_OBLIQUE
ANGLE_NAUT
GROUP_NO
MECA_STATIQUE
CALC_CHAM_ELEM SIGM_ELNO_DEPL
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Code_Aster
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Titrate:
SSLS118 - Square plate subjected to a sinusoidal pressure
Date:
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P. MASSIN, NR. RAHNI
Key
:
V3.03.118-A
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V3.03 booklet: Linear statics of the plates and hulls
HI-75/01/010/A
4
Results of modeling A
4.1 Values
tested
Identification
Reference
Aster Difference
Tolerance
Not O
M78
xx
on lower layer
18.990 18.871
­ 0.626%
1.0%
yy
on lower layer
18.990 18.871
­ 0.626%
1.0%
xy
on lower layer
0.000 2.03E08 2.03E08
0.01
xz
on lower layer
0.000 0.000 0.000
0.01
yz
on lower layer
0.000 0.000 0.000
0.01
Stresses
xx
on layer medium
0.000 0.000 0.000
0.01
yy
on layer medium
0.000 0.000 0.000
0.01
xy
on layer medium
0.000 0.000 0.000
0.01
xz
on layer medium
0.000 ­ 0.251
­ 0.251 0.26
yz
on layer medium
0.000 0.251 0.251
0.26
xx
on higher layer
­ 18.990 ­ 18.871 ­ 0.626% 1.0%
yy
on higher layer
­ 18.990 ­ 18.871 ­ 0.626% 1.0%
xy
on higher layer
0.000 ­ 2.03E08
­ 2.03E08
0.01
xz
on higher layer
0.000 0.000 0.000
0.01
yz
on higher layer
0.000 0.000 0.000
0.01
Displacement DZ
­ 1.1549
­ 1.1406
­ 1.232%
1.25%
Not B1
M6
xx
on lower layer
0.000 ­ 1.052E03
­ 0.001 0.01
yy
on lower layer
0.000 ­ 4.208E03
­ 0.004 0.01
xy
on lower layer
0.000 ­ 7.326E01
­ 0.733 0.74
xz
on lower layer
0.000 0.000 0.000 0.01
yz
on lower layer
0.000 0.000 0.000 0.01
xx
on layer medium
0.000 0.000 0.000 0.01
yy
on layer medium
0.000 0.000 0.000 0.01
Stresses
xy
on layer medium
0.000 0.000 0.000 0.01
xz
on layer medium
0.000 2.690E05
2.
690E05 0.26
yz
on layer medium
­ 2.39732 ­ 1.90731 ­ 20.44% 21.0%
xx
on higher layer
0.000 1.052E03 0.001 0.26
yy
on higher layer
0.000 4.208E03 0.004 0.26
xy
on higher layer
0.000 7.326E01 0.733 0.74
xz
on higher layer
0.000 0.000 0.000 0.01
yz
on higher layer
0.000 0.000 0.000 0.01
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Code_Aster
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Titrate:
SSLS118 - Square plate subjected to a sinusoidal pressure
Date:
16/11/01
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P. MASSIN, NR. RAHNI
Key
:
V3.03.118-A
Page:
9/62
Manual of Validation
V3.03 booklet: Linear statics of the plates and hulls
HI-75/01/010/A
Reference
Not
xx
NR
yy
NR
xy
NR
xx
M
yy
M
xy
M
X
T
y
T
O M78
0.000 0.000 0.000 ­ 3.1662E02
­ 3.1662E02
0.000 0.000
0.000
O M79
­ ­ ­
­
­
­
0.000
0.000
O M66
­ ­ ­
­
­
­
0.000
0.000
O M67
­ ­ ­
­
­
­
0.000
0.000
With
0.000 0.000 0.000
0.000
0.000 1.8997E02 0.000
0.000
B
0.000 0.000 0.000
0.000
0.000 ­ 1.8997E02
0.000
0.000
C
0.000 0.000 0.000
0.000
0.000 1.8997E02 0.000
0.000
D
0.000 0.000 0.000
0.000
0.000 ­ 1.8997E02
0.000
0.000
B1 M6
0.000 0.000 0.000
0.000
0.000 0.000 0.000 ­ 1.5915E01
B1 M7
0.000 0.000 0.000
0.000
0.000 0.000 0.000 ­ 1.5915E01
D1 M61
­ ­ ­
­
­
­ ­ 1.5915E01 0.000
D1 M73
0.000 0.000 0.000
0.000
0.000 0.000
­ 1.5915E01
0.000
Aster
Not
xx
NR
yy
NR
xy
NR
xx
M
yy
M
xy
M
X
Q
y
Q
O M78
0.000 0.000 0.000 ­ 3.1451E02
­ 3.1451E02
­ 3.3849E11
­ 1.6740E02 1.6740E02
O M79
­ ­ ­
­
­
­
1.6740E02 1.6740E02
O M66
­ ­ ­
­
­
­ ­ 1.6740E02
­ 1.6740E02
O M67
­ ­ ­
­
­
­
1.6740E02 ­ 1.6740E02
With
0.000 0.000 0.000 1.07E17 3.53E18
1.8548E02 1.3609E05
1.3617E05
B
0.000 0.000 0.000 2.00E17 9.39E17
­ 1.8548E02
­ 1.3617E05 1.3612E05
C
0.000 0.000 0.000 ­ 8.61E18 4.15E18 1.8548E02 ­ 1.3612E05 ­ 1.3619E05
D
0.000 0.000 0.000 ­ 1.35E17 ­ 1.16E18
­ 1.8548E02
1.3619E05 ­ 1.3609E05
B1 M6
0.000 0.000 0.000 1.7534E06 7.0138E06 1.221E03 1.7933E06 ­ 1.2715E01
B1 M7
0.000 0.000 0.000 1.7534E06 7.0138E06 ­ 1.221E03 ­ 1.7921E06 ­ 1.2715E01
D1 M61
­ ­ ­
­
­
­ ­ 1.2715E01 1.7933E06
D1 M73
0.000 0.000 0.000 7.0138E06 1.7534E06 ­ 1.221E03 ­ 1.2715E01 ­ 1.7933E06
Difference
Not
xx
NR
yy
NR
xy
NR
xx
M
yy
M
xy
M
X
Q
y
Q
O M78
0.000 0.000 0.000 ­ 0.666%
­ 0.666% ­ 3.38E11 ­ 0.017
0.017
O M79
­ ­ ­
­
­
­
0.017
0.017
O M66
­ ­ ­
­
­
­
­ 0.017
­ 0.017
O M67
­ ­ ­
­
­
­
0.017
­ 0.017
With
0.000 0.000 0.000 1.07E17 3.53E18 ­ 2.363% 1.36E05 1.36E05
B
0.000 0.000 0.000 2.00E17 9.39E17 ­ 2.363% ­ 1.36E05 1.36E05
C
0.000 0.000 0.000 ­ 8.61E18 4.15E18 ­ 2.363% ­ 1.36E05 ­ 1.36E05
D
0.000 0.000 0.000 ­ 1.35E17 ­ 1.16E18 ­ 2.363% 1.36E05 ­ 1.36E05
B1 M6
0.000 0.000 0.000 1.75E06
7.01E06 0.001 1.79E06 ­ 20.106%
B1 M7
0.000 0.000 0.000 1.75E06
7.01E06 ­ 0.001 ­ 1.79E06 ­ 20.106%
D1 M61
­ ­ ­
­
­
­
­ 20.106% 1.79E06
D1 M73
0.000 0.000 0.000 7.01E06
1.75E06 ­ 0.001 ­ 20.106% ­ 1.79E06
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Code_Aster
®
Version
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Titrate:
SSLS118 - Square plate subjected to a sinusoidal pressure
Date:
16/11/01
Author (S):
P. MASSIN, NR. RAHNI
Key
:
V3.03.118-A
Page:
10/62
Manual of Validation
V3.03 booklet: Linear statics of the plates and hulls
HI-75/01/010/A
4.2 Parameters
of execution
Version: 6.0.37
Machine: SGI - ORIGIN 2000
Overall dimension memory:
32 Mo
Time CPU To use: 5.74 seconds

5 Modeling
B
5.1
Characteristics of modeling
Quadrangular element of hull
DSQ.
The reference mark user is confused with the reference mark of orthotropism.

Limiting conditions:
DDL_IMPO
(GROUP_NO: AB, DX: 0., DZ: 0., DRY:0.)
(GROUP_NO: BC, DY: 0., DZ: 0., DRX:0.)
(GROUP_NO: CD, DX: 0., DZ: 0., DRY:0.)
(GROUP_NO: DA, DY: 0., DZ: 0., DRX:0.)
(GROUP_NO: O, DX: 0., DY: 0., DRX:0., DRY:0., DRZ:0.)
FORCE_ARETE
(GROUP_NO: AB MY:0.)
(GROUP_NO: BC MX:0.)
(GROUP_NO: CD MY:0.)
(GROUP_NO: DA MX:0.)
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Code_Aster
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Titrate:
SSLS118 - Square plate subjected to a sinusoidal pressure
Date:
16/11/01
Author (S):
P. MASSIN, NR. RAHNI
Key
:
V3.03.118-A
Page:
11/62
Manual of Validation
V3.03 booklet: Linear statics of the plates and hulls
HI-75/01/010/A
Not O
Meshs: M66, M67, M78, M79
Not A
Net: M1
Not B
Net: M12
Not C
Net: M144
Not D
Net: M133
Not B1
Meshs: M6, M7
Not D1
Meshs: M73, M61

5.2 Characteristics
mesh
A number of nodes: 171
A number of meshs and type: 144 QUAD4

5.3 Functionalities
tested
Controls
AFFE_MODELE
“MECHANICAL”
“DST”
MODI_MAILLAGE ORIE_NORME_COQUE
AFFE_CARA_ELEM HULL
THICK
ANGLE_REP
DEFI_MATERIAU ELAS_ORTH
DEFI_COQU_MULT SLEEP
THICK
ORIENTATION
AFFE_CHAR_MECA FORCE_COQUE
NEAR
ALL
LIAISON_OBLIQUE
ANGLE_NAUT
GROUP_NO
MECA_STATIQUE
CALC_CHAM_ELEM SIGM_ELNO_DEPL
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Code_Aster
®
Version
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Titrate:
SSLS118 - Square plate subjected to a sinusoidal pressure
Date:
16/11/01
Author (S):
P. MASSIN, NR. RAHNI
Key
:
V3.03.118-A
Page:
12/62
Manual of Validation
V3.03 booklet: Linear statics of the plates and hulls
HI-75/01/010/A
6
Results of modeling B
6.1 Values
tested
Identification
Reference
Aster Difference
Tolerance
Not O
M78
xx
on lower layer
18.990 18.959
­ 0.158%
1.0%
yy
on lower layer
18.990 18.959
­ 0.158%
1.0%
xy
on lower layer
0.000 4.73E08 4.73E08
0.01
xz
on lower layer
0.000 0.000 0.000
0.01
yz
on lower layer
0.000 0.000 0.000
0.01
Stresses
xx
on layer medium
0.000 0.000 0.000
0.01
yy
on layer medium
0.000 0.000 0.000
0.01
xy
on layer medium
0.000 0.000 0.000
0.01
xz
on layer medium
0.000 ­ 0.306
­ 0.306 0.31
yz
on layer medium
0.000 0.306 0.306
0.31
xx
on higher layer
­ 18.990 ­ 18.959 ­ 0.158% 1.0%
yy
on higher layer
­ 18.990 ­ 18.959 ­ 0.158% 1.0%
xy
on higher layer
0.000 ­ 4.73E08
­ 4.73E08
0.01
xz
on higher layer
0.000 0.000 0.000
0.01
yz
on higher layer
0.000 0.000 0.000
0.01
Displacement DZ
­ 1.1549
­ 1.2012 4.017%
4.1%
Not B1
M6
xx
on lower layer
0.000 ­ 1.695E01 ­ 0.17 0.7
yy
on lower layer
0.000 ­ 6.933E01
­ 0.693 0.7
xy
on lower layer
0.000 ­ 7.316E01
­ 0.732 0.74
xz
on lower layer
0.000 0.000 0.000 0.01
yz
on lower layer
0.000 0.000 0.000 0.01
xx
on layer medium
0.000 0.000 0.000 0.01
yy
on layer medium
0.000 0.000 0.000 0.01
Stresses
xy
on layer medium
0.000 0.000 0.000 0.01
xz
on layer medium
0.000 5.256E04
5.26E04 0.26
yz
on layer medium
­ 2.39732 ­ 2.32183 ­ 3.149% 3.2%
xx
on higher layer
0.000 1.695E01 0.17
0.7
yy
on higher layer
0.000 6.933E01 0.693
0.7
xy
on higher layer
0.000 7.316E01 0.732 0.74
xz
on higher layer
0.000 0.000 0.000 0.01
yz
on higher layer
0.000 0.000 0.000 0.01
background image
Code_Aster
®
Version
6.0
Titrate:
SSLS118 - Square plate subjected to a sinusoidal pressure
Date:
16/11/01
Author (S):
P. MASSIN, NR. RAHNI
Key
:
V3.03.118-A
Page:
13/62
Manual of Validation
V3.03 booklet: Linear statics of the plates and hulls
HI-75/01/010/A
Reference
Not
xx
NR
yy
NR
xy
NR
xx
M
yy
M
xy
M
X
T
y
T
O M78
0.000 0.000 0.000 ­ 3.1662E02
­ 3.1662E02 0.000
0.000
0.000
O M79
­ ­ ­
­
­
­
0.000
0.000
O M66
­ ­ ­
­
­
­
0.000
0.000
O M67
­ ­ ­
­
­
­
0.000
0.000
With
0.000 0.000 0.000
0.000
0.000 1.8997E02 0.000
0.000
B
0.000 0.000 0.000
0.000
0.000 ­ 1.8997E02
0.000
0.000
C
0.000 0.000 0.000
0.000
0.000 1.8997E02 0.000
0.000
D
0.000 0.000 0.000
0.000
0.000 ­ 1.8997E02
0.000
0.000
B1 M6
0.000 0.000 0.000
0.000
0.000 0.000 0.000
­ 1.5915E01
B1 M7
0.000 0.000 0.000
0.000
0.000 0.000 0.000
­ 1.5915E01
D1 M61
­ ­ ­
­
­
­ ­ 1.5915E01 0.000
D1 M73
0.000 0.000 0.000
0.000
0.000 0.000
­ 1.5915E01
0.000
Aster
Not
xx
NR
yy
NR
xy
NR
xx
M
yy
M
xy
M
X
Q
y
Q
O M78
0.000 0.000 0.000 ­ 3.1599E02
­ 3.1599E02 ­ 7.878E11 ­ 2.0378E02 2.0378E02
O M79
­ ­ ­
­
­
­
2.0378E02 2.0378E02
O M66
­ ­ ­
­
­
­ ­ 2.0378E02
­ 2.0378E02
O M67
­ ­ ­
­
­
­
2.0378E02
­ 2.0378E02
With
0.000 0.000 0.000 6.3887E05 6.3887E05 1.8524E02 2.6619E04 2.6619E04
B
0.000 0.000 0.000 6.3887E05 6.3887E05 ­ 1.8524E02
­ 2.6619E04 2.6619E04
C
0.000 0.000 0.000 6.388E05 6.388E05 1.8528E02 ­ 2.6619E04 ­ 2.6619E04
D
0.000 0.000 0.000 6.388E05 6.388E05 ­ 1.8548E02
2.6619E04 ­ 2.6619E04
B1 M6
0.000 0.000 0.000 2.8258E04 1.1555E03 1.2194E03 3.5045E05 ­ 1.5478E01
B1 M7
0.000 0.000 0.000 2.8258E04 1.1555E03 ­ 1.2194E03
­ 3.5045E05 ­ 1.5478E01
D1 M61
­ ­ ­
­
­
­ ­ 1.5478E01
3.5045E05
D1 M73
0.000 0.000 0.000 1.1555E03 2.8258E04 ­ 1.2194E03
­ 1.5478E01 ­ 3.5045E05
Difference
Not
xx
NR
yy
NR
xy
NR
xx
M
yy
M
xy
M
X
Q
y
Q
O M78
0.000 0.000 0.000 ­ 0.199%
­ 0.199% ­ 7.88E11 ­ 0.02
0.02
O M79
­ ­ ­
­
­
­
0.02
0.02
O M66
­ ­ ­
­
­
­
­ 0.02
­ 0.02
O M67
­ ­ ­
­
­
­
0.02
­ 0.02
With
0.000 0.000 0.000 6.39E05 6.39E05 ­ 2.491% 2.66E04 2.66E04
B
0.000 0.000 0.000 6.39E05 6.39E05 ­ 2.491% ­ 2.66E04 2.66E04
C
0.000 0.000 0.000 6.39E05 6.39E05 ­ 2.491% ­ 2.66E04 ­ 2.66E04
D
0.000 0.000 0.000 6.39E05 6.39E05 ­ 2.491% 2.66E04 ­ 2.66E04
B1 M6
0.000 0.000 0.000 2.83E04
0.001 0.001
3.50E05
­ 2.743%
B1 M7
0.000 0.000 0.000 2.83E04
0.001 ­ 0.001
­ 3.50E05
­ 2.743%
D1 M61
­ ­ ­
­
­
­
­ 2.743% 3.50E05
D1 M73
0.000 0.000 0.000
0.001 2.83E04 ­ 0.001 ­ 2.743% ­ 3.50E05
background image
Code_Aster
®
Version
6.0
Titrate:
SSLS118 - Square plate subjected to a sinusoidal pressure
Date:
16/11/01
Author (S):
P. MASSIN, NR. RAHNI
Key
:
V3.03.118-A
Page:
14/62
Manual of Validation
V3.03 booklet: Linear statics of the plates and hulls
HI-75/01/010/A
6.2 Parameters
of execution
Version: 6.0.37
Machine: SGI - ORIGIN 2000
Overall dimension memory:
32 Mo
Time CPU To use:
5.74 seconds

7 Modeling
C
7.1
Characteristics of modeling
Triangular element of hull
DKT.
The reference mark user is confused with the reference mark of orthotropism.
Limiting conditions:
DDL_IMPO
(GROUP_NO: AB, DX: 0., DZ: 0., DRY:0.)
(GROUP_NO: BC, DY: 0., DZ: 0., DRX:0.)
(GROUP_NO: CD, DX: 0., DZ: 0., DRY:0.)
(GROUP_NO: DA, DY: 0., DZ: 0., DRX:0.)
(GROUP_NO: O, DX: 0., DY: 0., DRX:0., DRY:0., DRZ:0.)
FORCE_ARETE
(GROUP_NO: AB MY:0.)
(GROUP_NO: BC MX:0.)
(GROUP_NO: CD MY:0.)
(GROUP_NO: DA MX:0.)
background image
Code_Aster
®
Version
6.0
Titrate:
SSLS118 - Square plate subjected to a sinusoidal pressure
Date:
16/11/01
Author (S):
P. MASSIN, NR. RAHNI
Key
:
V3.03.118-A
Page:
15/62
Manual of Validation
V3.03 booklet: Linear statics of the plates and hulls
HI-75/01/010/A
Not O
Meshs: M132, M156, M134, M158
Not A
Net: M1
Not B
Net: M266
Not C
Net: M288
Not D
Net: M23
Not B1
Meshs: M122, M146
Not D1
Meshs: M14, M11

7.2 Characteristics
mesh
A number of nodes: 170
A number of meshs and type: 288 TRIA3

7.3 Functionalities
tested
Controls
AFFE_MODELE
“MECHANICAL”
“DKT”
MODI_MAILLAGE ORIE_NORME_COQUE
AFFE_CARA_ELEM HULL
THICK
ANGLE_REP
DEFI_MATERIAU ELAS
FORMULATE
AFFE_CHAR_MECA FORCE_COQUE
NEAR
DDL_IMPO
ANGLE_NAUT
GROUP_NO
FORCE_ARETE
MECA_STATIQUE
CREA_CHAMP
CALC_CHAM_ELEM SIGM_ELNO_DEPL
DEGE_ELNO_DEPL
background image
Code_Aster
®
Version
6.0
Titrate:
SSLS118 - Square plate subjected to a sinusoidal pressure
Date:
16/11/01
Author (S):
P. MASSIN, NR. RAHNI
Key
:
V3.03.118-A
Page:
16/62
Manual of Validation
V3.03 booklet: Linear statics of the plates and hulls
HI-75/01/010/A
8
Results of modeling C
8.1 Values
tested
Identification
Reference
Aster Difference
Tolerance
Not O
M134
xx
on lower layer
18.990 19.003 0.073%
1.0%
yy
on lower layer
18.990 18.899
­ 0.475%
1.0%
xy
on lower layer
0.000 ­ 4.428E02
­ 0.044 0.01
xz
on lower layer
0.000 0.000 0.000
0.01
yz
on lower layer
0.000 0.000 0.000
0.01
Stresses
xx
on layer medium
0.000 0.000 0.000
0.01
yy
on layer medium
0.000 0.000 0.000
0.01
xy
on layer medium
0.000 0.000 0.000
0.01
xz
on layer medium
0.000 ­ 3.8507E01
­ 0.385 0.4
yz
on layer medium
0.000 3.2121E01 0.321 0.4
xx
on higher layer
­ 18.990 ­ 19.003 0.073% 1.0%
yy
on higher layer
­ 18.990 ­ 18.899 ­ 0.475% 1.0%
xy
on higher layer
0.000 4.4282E02 0.044 0.05
xz
on higher layer
0.000 0.000 0.000
0.01
yz
on higher layer
0.000 0.000 0.000
0.01
Displacement DZ
­ 1.1549
­ 1.1362
­ 1.62%
2.0%
Not B1
M122
xx
on lower layer
0.000 ­ 1.7562E01
­ 0.176 0.2
yy
on lower layer
0.000 ­ 7.0248E01
­ 0.702 0.8
xy
on lower layer
0.000 ­ 7.4243E01
­ 0.742
0.8
xz
on lower layer
0.000 0.000 0.000 0.01
yz
on lower layer
0.000 0.000 0.000 0.01
xx
on layer medium
0.000 0.000 0.000 0.01
yy
on layer medium
0.000 0.000 0.000 0.01
Stresses
xy
on layer medium
0.000 0.000 0.000 0.01
xz
on layer medium
0.000 ­ 2.9390E01
­ 0.294
0.3
yz
on layer medium
­ 2.39732 ­ 2.3762 ­ 0.878% 2.0%
xx
on higher layer
0.000 1.7562E01 0.176
0.26
yy
on higher layer
0.000 7.0248
E01 0.702
0.8
xy
on higher layer
0.000 7.4243
E01 0.742
0.8
xz
on higher layer
0.000 0.000 0.000 0.01
yz
on higher layer
0.000 0.000 0.000 0.01
background image
Code_Aster
®
Version
6.0
Titrate:
SSLS118 - Square plate subjected to a sinusoidal pressure
Date:
16/11/01
Author (S):
P. MASSIN, NR. RAHNI
Key
:
V3.03.118-A
Page:
17/62
Manual of Validation
V3.03 booklet: Linear statics of the plates and hulls
HI-75/01/010/A
Reference
Not
xx
NR
yy
NR
xy
NR
xx
M
yy
M
xy
M
X
T
y
T
O M134
0.000 0.000 0.000 ­ 3.1662E02
­ 3.1662E02
0.000 0.000 0.000
O M158
­ ­ ­
­
­
­
0.000
0.000
O M132
­ ­ ­
­
­
­
0.000
0.000
O M156
­ ­ ­
­
­
­
0.000
0.000
With
0.000 0.000 0.000
0.000
0.000 1.8997E02 0.000
0.000
B
0.000 0.000 0.000
0.000
0.000 ­ 1.8997E02 0.000
0.000
C
0.000 0.000 0.000
0.000
0.000 1.8997E02 0.000
0.000
D
0.000 0.000 0.000
0.000
0.000 ­ 1.8997E02 0.000
0.000
B1 M122
0.000 0.000 0.000
0.000
0.000 0.000 0.000
­ 1.5915E01
B1 M146
0.000 0.000 0.000
0.000
0.000 0.000 0.000
­ 1.5915E01
D1 M11
­ ­ ­
­
­
­
­ 1.5915E01 0.000
D1 M14
0.000 0.000 0.000
0.000
0.000 0.000
­ 1.5915E01
0.000
Aster
Not
xx
NR
yy
NR
xy
NR
xx
M
yy
M
xy
M
X
Q
y
Q
O M134
0.000 0.000 0.000 ­ 3.1673
E
­ 02 ­ 3.1499E02
7.38E05
­ 2.567E02 2.1414E02
O M158
­
­
­
­
­
­
2.0275 E02
7.084 E03
O M132
­
­
­
­
­
­
­ 2.567 E02
­ 2.1414 E02
O M156
­
­
­
­
­
­
2.0275 E02
­ 7.084 E03
With
0.000 0.000 0.000 8.33
E04
2.08 E04
1.8758 E02
­ 3.4239 E02
­ 6.153 E03
B
0.000 0.000 0.000 3.07
E18
3.26 E18
1.8431 E02
1.17 E04
1.17 E04
C
0.000 0.000 0.000 ­ 1.18
E16
­ 1.13 E16
1.8431 E02
1.17 E04
­ 1.17 E04
D
0.000 0.000 0.000 8.33
E04
2.08 E04
­ 1.8758 E02
­ 3.423 E02
6.153 E03
B1 M122
0.000 0.000 0.000 2.93
E04
1.170 E03
1.237 E03
­ 1.9593 E02
­ 1.5841 E01
B1 M146
0.000 0.000 0.000 9.19
E04
3.677 E03
­ 1.0159 E03
­ 1.8524 E02 ­ 1.5581 E01
D1 M11
­
­
­
­
­
­
­ 1.2826 E01
2.3404 E02
D1 M14
0.000 0.000 0.000 2.289
E03
6.58 E04
­ 8.50 E04
­ 1.9585 E01
5.3227 E02
Difference
Not
xx
NR
yy
NR
xy
NR
xx
M
yy
M
xy
M
X
Q
y
Q
O M134
0.000 0.000 0.000
0.033%
­ 0.515% 7.38
E05 ­ 0.026
0.021
O M158
­ ­ ­
­
­
­
0.02
0.007
O M132
­ ­ ­
­
­
­
­ 0.026
­ 0.021
O M156
­ ­ ­
­
­
­
0.02
­ 0.007
With
0.000 0.000 0.000 8.33
E04
2.08 E04
­ 1.26%
­ 0.034
­ 0.006
B
0.000 0.000 0.000 3.07
E18 3.26
E18 ­ 2.98%
1.17 E04
1.17 E04
C
0.000 0.000 0.000 ­ 1.18
E16 ­ 1.13
E16
­ 2.98%
1.17 E04
­ 1.17 E04
D
0.000 0.000 0.000 8.33
E04
2.08 E04
­ 1.26%
­ 0.034
0.006
B1 M122
0.000 0.000 0.000 2.93
E04
0.001 0.001 ­ 0.02 ­ 0.463%
B1 M146
0.000 0.000 0.000 9.19
E04
0.004 ­ 0.001 ­ 0.019 ­ 2.101%
D1 M11
­ ­ ­
­
­
­
­ 19.41%
0.023
D1 M14
0.000 0.000 0.000
23.059%
0.053
background image
Code_Aster
®
Version
6.0
Titrate:
SSLS118 - Square plate subjected to a sinusoidal pressure
Date:
16/11/01
Author (S):
P. MASSIN, NR. RAHNI
Key
:
V3.03.118-A
Page:
18/62
Manual of Validation
V3.03 booklet: Linear statics of the plates and hulls
HI-75/01/010/A
8.2 Parameters
of execution
Version: 6.0.37
Machine: SGI - ORIGIN 2000
Overall dimension memory:
32 Mo
Time CPU To use:
7.38 seconds

9 Modeling
D
9.1
Characteristics of modeling
Triangular element of hull
DST
.
The reference mark user is confused with the reference mark of orthotropism.

Limiting conditions:
DDL_IMPO
(GROUP_NO: AB, DX: 0., DZ: 0., DRY:0.)
(GROUP_NO: BC, DY: 0., DZ: 0., DRX:0.)
(GROUP_NO: CD, DX: 0., DZ: 0., DRY:0.)
(GROUP_NO: DA, DY: 0., DZ: 0., DRX:0.)
(GROUP_NO: O, DX: 0., DY: 0., DRX:0., DRY:0., DRZ:0.)
FORCE_ARETE
(GROUP_NO: AB MY:0.)
(GROUP_NO: BC MX:0.)
(GROUP_NO: CD MY:0.)
(GROUP_NO: DA MX:0.)
background image
Code_Aster
®
Version
6.0
Titrate:
SSLS118 - Square plate subjected to a sinusoidal pressure
Date:
16/11/01
Author (S):
P. MASSIN, NR. RAHNI
Key
:
V3.03.118-A
Page:
19/62
Manual of Validation
V3.03 booklet: Linear statics of the plates and hulls
HI-75/01/010/A
Not O
Meshs: M132, M156, M134, M158
Not A
Net: M1
Not B
Net: M266
Not C
Net: M288
Not D
Net: M23
Not B1
Meshs: M122, M146
Not D1
Meshs: M14, M11

9.2 Characteristics
mesh
A number of nodes: 170
A number of meshs and type: 288 TRIA3

9.3 Functionalities
tested
Controls
AFFE_MODELE
“MECHANICAL”
“DST”
MODI_MAILLAGE ORIE_NORME_COQUE
AFFE_CARA_ELEM HULL
THICK
ANGLE_REP
DEFI_MATERIAU ELAS
FORMULATE
AFFE_CHAR_MECA FORCE_COQUE
NEAR
DDL_IMPO
ANGLE_NAUT
GROUP_NO
FORCE_ARETE
MECA_STATIQUE
CREA_CHAMP
CALC_CHAM_ELEM SIGM_ELNO_DEPL
DEGE_ELNO_DEPL
background image
Code_Aster
®
Version
6.0
Titrate:
SSLS118 - Square plate subjected to a sinusoidal pressure
Date:
16/11/01
Author (S):
P. MASSIN, NR. RAHNI
Key
:
V3.03.118-A
Page:
20/62
Manual of Validation
V3.03 booklet: Linear statics of the plates and hulls
HI-75/01/010/A
10 Results of modeling D
10.1 Values
tested
Identification
Reference
Aster Difference
Tolerance
Not O
M134
xx
on lower layer
18.990 18.872
­ 0.62% 1.0%
yy
on lower layer
18.990 18.896
­ 0.49% 1.0%
xy
on lower layer
0.000
­ 2.61 E04
­ 2.61 E04
0.01
xz
on lower layer
0.000 0.000 0.000
0.01
yz
on lower layer
0.000 0.000 0.000
0.01
Stresses
xx
on layer medium
0.000 0.000 0.000
0.01
yy
on layer medium
0.000 0.000 0.000
0.01
xy
on layer medium
0.000 0.000 0.000
0.01
xz
on layer medium
0.000 ­ 2.8134
E01
­ 0.281
0.3
yz
on layer medium
0.000 3.0148
E01 0.301 0.4
xx
on higher layer
­ 18.990 ­ 18.872 ­ 0.62% 1%
yy
on higher layer
­ 18.990 ­ 18.896 ­ 0.49% 1%
xy
on higher layer
0.000
2.61 E04
2.61 E04
0.01
xz
on higher layer
0.000 0.000 0.000
0.01
yz
on higher layer
0.000 0.000 0.000
0.01
Displacement DZ
­ 1.1549
­ 1.1951 3.487%
4.1%
Not B1
M122
xx
on lower layer
0.000 ­ 5.2518
E01
­ 0.525 0.8
yy
on lower layer
0.000 ­ 6.8948
E01
­ 0.689 0.8
xy
on lower layer
0.000 ­ 7.305
E01
­ 0.731
0.8
xz
on lower layer
0.000 0.000 0.000 0.01
yz
on lower layer
0.000 0.000 0.000 0.01
xx
on layer medium
0.000 0.000 0.000 0.01
yy
on layer medium
0.000 0.000 0.000 0.01
Stresses
xy
on layer medium
0.000 0.000 0.000 0.01
xz
on layer medium
0.000 ­ 4.900
E02
­ 0.049
0.05
yz
on layer medium
­ 2.39732 ­ 2.3421 ­ 2.3%
3%
xx
on higher layer
0.000 5.2518
E01 0.525
0.8
yy
on higher layer
0.000 6.8948
E01 0.689
0.8
xy
on higher layer
0.000 7.3051
E01 0.731
0.8
xz
on higher layer
0.000 0.000 0.000 0.01
background image
Code_Aster
®
Version
6.0
Titrate:
SSLS118 - Square plate subjected to a sinusoidal pressure
Date:
16/11/01
Author (S):
P. MASSIN, NR. RAHNI
Key
:
V3.03.118-A
Page:
21/62
Manual of Validation
V3.03 booklet: Linear statics of the plates and hulls
HI-75/01/010/A
yz
on higher layer
0.000 0.000 0.000 0.01
Reference
Not
xx
NR
yy
NR
xy
NR
xx
M
yy
M
xy
M
X
T
y
T
O M134
0.000 0.000 0.000 ­ 3.1662E02
­ 3.1662E02
0.000 0.000 0.000
O M158
­ ­ ­
­
­
­
0.000
0.000
O M132
­ ­ ­
­
­
­
0.000
0.000
O M156
­ ­ ­
­
­
­
0.000
0.000
With
0.000 0.000 0.000
0.000
0.000 1.8997E02 0.000
0.000
B
0.000 0.000 0.000
0.000
0.000 ­ 1.8997E02 0.000
0.000
C
0.000 0.000 0.000
0.000
0.000 1.8997E02 0.000
0.000
D
0.000 0.000 0.000
0.000
0.000 ­ 1.8997E02 0.000
0.000
B1 M122
0.000 0.000 0.000
0.000
0.000 0.000 0.000
­ 1.5915E01
B1 M146
0.000 0.000 0.000
0.000
0.000 0.000 0.000
­ 1.5915E01
D1 M11
­ ­ ­
­
­
­
­ 1.5915E01 0.000
D1 M14
0.000 0.000 0.000
0.000
0.000 0.000
­ 1.5915E01
0.000
Aster
Not
xx
NR
yy
NR
xy
NR
xx
M
yy
M
xy
M
X
Q
y
Q
O M134
0.000 0.000 0.000 ­ 3.1453
E02 ­ 3.1494 E02
4.36 E07
­ 1.8756 E02
2.009 E02
O M158
­
­
­
­
­
­
2.2389 E02
1.7581 E02
O M132
­
­
­
­
­
­
­ 1.8756 E02
­ 2.009 E02
O M156
­
­
­
­
­
­
2.2389 E02
­ 1.7581 E02
With
0.000 0.000 0.000 7.61
E04
1.6 E05
1.8869 E02
3.8490 E02
­ 9.68 E04
B
0.000 0.000 0.000 ­ 2.69
E05
2.69 E05
­ 1.8415 E02
1.87 E04
1.87 E04
C
0.000 0.000 0.000 2.69
E05
2.69 E05
1.8415 E02
1.87 E04
­ 1.87 E04
D
0.000 0.000 0.000 7.61
E04
1.6 E05
­ 1.8869 E02
­ 3.849 E02
9.68 E04
B1 M122
0.000 0.000 0.000 8.75
E04
1.149 E03
1.217 E03
­ 3.266 E03
­ 1.5614 E01
B1 M146
0.000 0.000 0.000 2.21
E04
3.149 E03
­ 9.47 E04
­ 3.148 E03
­ 1.5117 E01
D1 M11
­
­
­
­
­
­
­ 1.4437 E01
4.336 E03
D1 M14
0.000 0.000 0.000 1.446
E03
4.34 E04
­ 4.30 E04
­ 1.6235 E01
9.371 E03
Difference
Not
xx
NR
yy
NR
xy
NR
xx
M
yy
M
xy
M
X
Q
y
Q
O M134
0.000 0.000 0.000
­ 0.66%
­ 0.531% 4.36
E07 ­ 0.019
0.02
O M158
­ ­ ­
­
­
­
0.022
0.018
O M132
­ ­ ­
­
­
­
­ 0.019
­ 0.02
O M156
­ ­ ­
­
­
­
0.022
­ 0.018
With
0.000 0.000 0.000 7.61
E04 1.6
E05 ­ 0.673% ­ 0.038 ­ 9.68
E04
B
0.000 0.000 0.000 ­ 2.69
E05 2.69
E05 ­ 3.065%
1.87 E04
1.87 E04
C
0.000 0.000 0.000 ­ 2.69
E05 2.69
E05 ­ 3.065%
1.87 E04
­ 1.87 E04
D
0.000 0.000 0.000 7.61
E04 1.6
E05 ­ 0.673% ­ 0.038 9.68
E04
B1 M122
0.000 0.000 0.000 8.75
E04
0.001 0.001 ­ 0.003 ­ 1.891%
B1 M146
0.000 0.000 0.000 2.21
E04
0.003 ­ 9.47
E04 ­ 0.003 ­ 5.013%
D1 M11
­ ­ ­
­
­
­
­ 9.29%
0.004
D1 M14
0.000 0.000 0.000
0.001
4.34
E04 ­ 4.30
E04 2.013%
0.009
background image
Code_Aster
®
Version
6.0
Titrate:
SSLS118 - Square plate subjected to a sinusoidal pressure
Date:
16/11/01
Author (S):
P. MASSIN, NR. RAHNI
Key
:
V3.03.118-A
Page:
22/62
Manual of Validation
V3.03 booklet: Linear statics of the plates and hulls
HI-75/01/010/A
10.2 Parameters
of execution
Version: 6.0.37
Machine: SGI - ORIGIN 2000
Overall dimension memory:
32 Mo
Time CPU To use:
7.38 seconds

11 Modeling
E
11.1 Characteristics of modeling
Element of hull
COQUE_3D
triangle.
The reference mark user is confused with the reference mark of orthotropism.

Limiting conditions:
DDL_IMPO
(GROUP_NO: AB, DX: 0., DZ: 0., DRY:0.)
(GROUP_NO: BC, DY: 0., DZ: 0., DRX:0.)
(GROUP_NO: CD, DX: 0., DZ: 0., DRY:0.)
(GROUP_NO: DA, DY: 0., DZ: 0., DRX:0.)
(GROUP_NO: O, DX: 0., DY: 0., DRX:0., DRY:0., DRZ:0.)
FORCE_ARETE
(GROUP_NO: AB MY:0.)
(GROUP_NO: BC MX:0.)
(GROUP_NO: CD MY:0.)
(GROUP_NO: DA MX:0.)
background image
Code_Aster
®
Version
6.0
Titrate:
SSLS118 - Square plate subjected to a sinusoidal pressure
Date:
16/11/01
Author (S):
P. MASSIN, NR. RAHNI
Key
:
V3.03.118-A
Page:
23/62
Manual of Validation
V3.03 booklet: Linear statics of the plates and hulls
HI-75/01/010/A
Not O
Meshs: M132, M156, M134, M158
Not A
Net: M1
Not B
Net: M266
Not C
Net: M288
Not D
Net: M23
Not B1
Meshs: M122, M146
Not D1
Meshs: M14, M11

11.2 Characteristics
mesh
A number of nodes: 626
A number of meshs and type: 288 TRIA6

11.3 Functionalities
tested
Controls
AFFE_MODELE
“MECHANICAL”
“COQUE_3D”
CREA_MAILLAGE MODI_MAILLE
“TRIA6_7”
MODI_MAILLAGE ORIE_NORME_COQUE
AFFE_CARA_ELEM HULL
THICK
ANGLE_REP
DEFI_MATERIAU ELAS
FORMULATE
AFFE_CHAR_MECA FORCE_COQUE
NEAR
DDL_IMPO
ANGLE_NAUT
GROUP_NO
FORCE_ARETE
MECA_STATIQUE
CREA_CHAMP
CALC_CHAM_ELEM SIGM_ELNO_DEPL
DEGE_ELNO_DEPL
background image
Code_Aster
®
Version
6.0
Titrate:
SSLS118 - Square plate subjected to a sinusoidal pressure
Date:
16/11/01
Author (S):
P. MASSIN, NR. RAHNI
Key
:
V3.03.118-A
Page:
24/62
Manual of Validation
V3.03 booklet: Linear statics of the plates and hulls
HI-75/01/010/A
12 Results of modeling E
12.1 Values
tested
Identification
Reference
Aster Difference
Tolerance
Not O
M134
xx
on lower layer
18.990 18.920
­ 0.364%
1.0%
yy
on lower layer
18.990 19.099 0.579 1.0%
xy
on lower layer
0.000 ­ 1.2540
E01
­ 0.125
0.2
xz
on lower layer
0.000 ­ 1.688
E02
­ 0.017 0.02
yz
on lower layer
0.000 7.210
E02 0.072 0.08
Stresses
xx
on layer medium
0.000
4e15
4e15
0.01
yy
on layer medium
0.000
­ 2e14
­ 2e14
0.01
xy
on layer medium
0.000
4e15
4e15
0.01
xz
on layer medium
0.000 ­ 1.688
E02
­ 0.017 0.02
yz
on layer medium
0.000 7.210
E02 0.072 0.08
xx
on higher layer
­ 18.990 ­ 18.920
­ 0.364% 1.0%
yy
on higher layer
­ 18.990 ­ 19.099 0.579% 1.0%
xy
on higher layer
0.000 1.2540
E01 0.125 0.2
xz
on higher layer
0.000 ­ 1.688
E02
­ 0.017 0.02
yz
on higher layer
0.000 7.210
E02 0.072 0.08
Displacement DZ
­ 1.1549
­ 1.2029 4.164%
4.2%
Not B1
M122
xx
on lower layer
0.000 6.291
E02 0.063 0.08
yy
on lower layer
0.000 1.448
E01 0.145 0.2
xy
on lower layer
0.000 ­ 2.025
E02 ­ 0.02
0.03
xz
on lower layer
0.000 ­ 4.916
E02
­ 0.049
0.05
yz
on lower layer
0.000 ­ 1.542
­ 1.543
1.6
xx
on layer medium
0.000
­ 5e16
­ 5e16
0.01
yy
on layer medium
0.000
­ 2e15
­ 2e15
0.01
Stresses
xy
on layer medium
0.000
4e15
4e15
0.01
xz
on layer medium
0.000 ­ 4.916
E02
­ 0.049
0.06
yz
on layer medium
­ 2.39732 ­ 1.5426 ­ 35.651%
36.0%
xx
on higher layer
0.000 ­ 6.291
E02
­ 0.063
0.08
yy
on higher layer
0.000 ­ 1.448
E01
­ 0.145
0.2
xy
on higher layer
0.000 2.025
E02 0.02
0.03
xz
on higher layer
0.000 ­ 4.916
E02
­ 0.049
0.05
background image
Code_Aster
®
Version
6.0
Titrate:
SSLS118 - Square plate subjected to a sinusoidal pressure
Date:
16/11/01
Author (S):
P. MASSIN, NR. RAHNI
Key
:
V3.03.118-A
Page:
25/62
Manual of Validation
V3.03 booklet: Linear statics of the plates and hulls
HI-75/01/010/A
yz
on higher layer
0.000 ­ 1.5426
­ 1.543
1.6
Reference
Not
xx
NR
yy
NR
xy
NR
xx
M
yy
M
xy
M
X
T
y
T
O M134
0.000 0.000 0.000 ­ 3.1662E02
­ 3.1662E02
0.000 0.000 0.000
O M158
­ ­ ­
­
­
­
0.000
0.000
O M132
­ ­ ­
­
­
­
0.000
0.000
O M156
­ ­ ­
­
­
­
0.000
0.000
With
0.000 0.000 0.000
0.000
0.000 1.8997E02 0.000
0.000
B
0.000 0.000 0.000
0.000
0.000 ­ 1.8997E02 0.000
0.000
C
0.000 0.000 0.000
0.000
0.000 1.8997E02 0.000
0.000
D
0.000 0.000 0.000
0.000
0.000 ­ 1.8997E02 0.000
0.000
B1 M122
0.000 0.000 0.000
0.000
0.000 0.000 0.000
­ 1.5915E01
B1 M146
0.000 0.000 0.000
0.000
0.000 0.000 0.000
­ 1.5915E01
D1 M11
­ ­ ­
­
­
­
­ 1.5915E01 0.000
D1 M14
0.000 0.000 0.000
0.000
0.000 0.000
­ 1.5915E01
0.000
Aster
Not
xx
NR
yy
NR
xy
NR
xx
M
yy
M
xy
M
X
Q
y
Q
O M134
0.000 0.000 0.000 ­ 3.1534
E02 ­ 3.1833 E02
2.09 E04
­ 1.688 E03
7.210 E03
O M158
­
­
­
­
­
­
­ 1.494 E03
8.008 E03
O M132
­
­
­
­
­
­
­ 1.283 E03
1.248 E03
O M156
­
­
­
­
­
­
­ 1.910 E03
­ 3.90 E04
With
0.000 0.000 0.000 3.69
E04
2.18 E04
1.9133 E02
­ 5.387 E03
7.027 E03
B
0.000 0.000 0.000 1.71
E04
1.61 E04
­ 1.8932 E02
­ 1.511 E03
1.513 E03
C
0.000 0.000 0.000 1.70
E04
1.56 E04
1.8815 E02
­ 1.463 E03
­ 1.508 E03
D
0.000 0.000 0.000 3.66
E04
2.13 E04
­ 1.8998 E02
­ 5.066 E03
­ 6.800 E03
B1 M122
0.000 0.000 0.000 ­ 1.04
E04
­ 2.41 E04
3.4 E05
­ 4.916 E03
­ 1.5426 E01
B1 M146
0.000 0.000 0.000 ­ 2.9
E05
­ 1.64 E04
­ 6.5 E07
2.7681 E01
­ 1.8932 E01
D1 M11
­
­
­
­
­
­
­ 1.8488 E01
­ 2.7113 E02
D1 M14
0.000 0.000 0.000 ­ 4.30
E04
­ 3.07 E04
4.2 E05
­ 1.4791 E01
­ 1.1165 E02
Difference
Not
xx
NR
yy
NR
xy
NR
xx
M
yy
M
xy
M
X
Q
y
Q
O M134
0.000 0.000 0.000
­ 0.404%
0.538% 2.09
E04 ­ 0.002
0.007
O M158
­ ­ ­
­
­
­
­ 0.001
0.008
O M132
­ ­ ­
­
­
­
­ 0.001
0.001
O M156
­ ­ ­
­
­
­
­ 0.002 ­ 3.90
E04
With
0.000 0.000 0.000 3.69
E04
2.18 E04
0.716%
­ 0.005
0.007
B
0.000 0.000 0.000 1.71
E04
1.61 E04
­ 0.344%
­ 0.002
0.002
C
0.000 0.000 0.000 1.70
E04
1.56 E04
­ 0.958%
­ 0.001
­ 0.002
D
0.000 0.000 0.000 3.66
E04
2.13 E04
0.003%
­ 0.005
­ 0.007
B1 M122
0.000 0.000 0.000 ­ 1.05
E04 ­ 2.41
E04 3.4
E05 ­ 0.005 ­ 3.072%
B1 M146
0.000 0.000 0.000 ­ 2.9
E05
­ 1.65 E04
­ 6.5 E07
0.028
18.955%
D1 M11
­ ­ ­
­
­
­
16.17%
­ 0.027
D1 M14
0.000 0.000 0.000 ­ 4.31
E04
­ 3.07 E04
4.2 E05
­ 7.06%
­ 0.011
background image
Code_Aster
®
Version
6.0
Titrate:
SSLS118 - Square plate subjected to a sinusoidal pressure
Date:
16/11/01
Author (S):
P. MASSIN, NR. RAHNI
Key
:
V3.03.118-A
Page:
26/62
Manual of Validation
V3.03 booklet: Linear statics of the plates and hulls
HI-75/01/010/A
12.2 Parameters
of execution
Version: 6.0.37
Machine: SGI - ORIGIN 2000
Overall dimension memory:
32 Mo
Time CPU To use:
11.05 seconds

13 Modeling
F
13.1 Characteristics of modeling
Element of hull
COQUE_3D
quadrangle.
The reference mark user is confused with the reference mark of orthotropism.

Limiting conditions:
DDL_IMPO
(GROUP_NO: AB, DX: 0., DZ: 0., DRY:0.)
(GROUP_NO: BC, DY: 0., DZ: 0., DRX:0.)
(GROUP_NO: CD, DX: 0., DZ: 0., DRY:0.)
(GROUP_NO: DA, DY: 0., DZ: 0., DRX:0.)
(GROUP_NO: O, DX: 0., DY: 0., DRX:0., DRY:0., DRZ:0.)
FORCE_ARETE
(GROUP_NO: AB MY:0.)
(GROUP_NO: BC MX:0.)
(GROUP_NO: CD MY:0.)
(GROUP_NO: DA MX:0.)
background image
Code_Aster
®
Version
6.0
Titrate:
SSLS118 - Square plate subjected to a sinusoidal pressure
Date:
16/11/01
Author (S):
P. MASSIN, NR. RAHNI
Key
:
V3.03.118-A
Page:
27/62
Manual of Validation
V3.03 booklet: Linear statics of the plates and hulls
HI-75/01/010/A
Not O
Meshs: M66, M67, M78, M79
Not A
Net: M1
Not B
Net: M12
Not C
Net: M144
Not D
Net: M133
Not B1
Meshs: M6, M7
Not D1
Meshs: M73, M61

13.2 Characteristics
mesh
A number of nodes: 482
A number of meshs and type: 144 QUAD8

13.3 Functionalities
tested
Controls
AFFE_MODELE
“MECHANICAL”
“COQUE_3D”
CREA_MAILLAGE MODI_MAILLE
“QUAD8_9”
AFFE_CARA_ELEM HULL
THICK
ANGLE_REP
DEFI_MATERIAU ELAS
FORMULATE
AFFE_CHAR_MECA FORCE_COQUE
NEAR
DDL_IMPO
ANGLE_NAUT
GROUP_NO
FORCE_ARETE
MECA_STATIQUE
CREA_CHAMP
CALC_CHAM_ELEM SIGM_ELNO_DEPL
DEGE_ELNO_DEPL
background image
Code_Aster
®
Version
6.0
Titrate:
SSLS118 - Square plate subjected to a sinusoidal pressure
Date:
16/11/01
Author (S):
P. MASSIN, NR. RAHNI
Key
:
V3.03.118-A
Page:
28/62
Manual of Validation
V3.03 booklet: Linear statics of the plates and hulls
HI-75/01/010/A
14 Results of modeling F
14.1 Values
tested
Identification
Reference
Aster Difference
Tolerance
Not O
M78
xx
on lower layer
18.990 19.306 1.665%
2.0%
yy
on lower layer
18.990 19.763 4.073%
5.0%
xy
on lower layer
0.000 ­ 5.19
E01
­ 0.52
0.6
xz
on lower layer
0.000 ­ 4.85
E02
­ 0.049 0.06
yz
on lower layer
0.000 1.4700 0.147 0.2
Stresses
xx
on layer medium
0.000
­ 8.9 E15
­ 8.9 E15
0.01
yy
on layer medium
0.000
­ 1.0 E14
­ 1.0 E14
0.01
xy
on layer medium
0.000
1.8 E14
1.8 E14
0.01
xz
on layer medium
0.000 ­ 4.85
E02
­ 0.049 0.1
yz
on layer medium
0.000 1.470
E01 0.147 0.2
xx
on higher layer
­ 18.990 ­ 19.306 1.665% 2.0%
yy
on higher layer
­ 18.990 ­ 19.763 4.073% 5.0%
xy
on higher layer
0.000 5.199
E01 0.520 0.6
xz
on higher layer
0.000 ­ 4.853
E02
­ 0.049 0.06
yz
on higher layer
0.000 1.470
E01 0.147 0.2
Displacement DZ
­ 1.1549
­ 1.2038
4.24%
4.5%
Not B1
M6
xx
on lower layer
0.000 1.924
E02 0.019 0.05
yy
on lower layer
0.000 3.190
E02 0.032 0.05
xy
on lower layer
0.000 ­ 3.526
E02
­ 0.035
0.05
xz
on lower layer
0.000 ­ 3.425
E03
­ 0.003
0.01
yz
on lower layer
0.000 ­ 1.671
­ 1.671
2.0
xx
on layer medium
0.000
4.2 E015
4.2 E15
0.01
yy
on layer medium
0.000
1.6 E14
1.6 E14
0.01
Stresses
xy
on layer medium
0.000
1.2 E14
1.2 E14
0.01
xz
on layer medium
0.000 ­ 3.425
E03
­ 0.003
0.01
yz
on layer medium
­ 2.39732 ­ 1.671 ­ 30.274%
35.0%
xx
on higher layer
0.000 ­ 1.924
E02
­ 0.019
0.05
yy
on higher layer
0.000 ­ 3.190
E02
­ 0.032
0.05
xy
on higher layer
0.000 3.526
E02 0.035
0.05
xz
on higher layer
0.000 ­ 3.425
E03
­ 0.003
0.01
background image
Code_Aster
®
Version
6.0
Titrate:
SSLS118 - Square plate subjected to a sinusoidal pressure
Date:
16/11/01
Author (S):
P. MASSIN, NR. RAHNI
Key
:
V3.03.118-A
Page:
29/62
Manual of Validation
V3.03 booklet: Linear statics of the plates and hulls
HI-75/01/010/A
yz
on higher layer
0.000 ­ 1.671
­ 1.671
2.0
Reference
Not
xx
NR
yy
NR
xy
NR
xx
M
yy
M
xy
M
X
T
y
T
O M78
0.000 0.000 0.000 ­ 3.1662E02
­ 3.1662E02
0.000 0.000 0.000
O M79
­ ­ ­
­
­
­
0.000
0.000
O M66
­ ­ ­
­
­
­
0.000
0.000
O M67
­ ­ ­
­
­
­
0.000
0.000
With
0.000 0.000 0.000
0.000
0.000 1.8997E02 0.000
0.000
B
0.000 0.000 0.000
0.000
0.000 ­ 1.8997E02 0.000
0.000
C
0.000 0.000 0.000
0.000
0.000 1.8997E02 0.000
0.000
D
0.000 0.000 0.000
0.000
0.000 ­ 1.8997E02 0.000
0.000
B1 M6
0.000 0.000 0.000
0.000
0.000 0.000 0.000
­ 1.5915E01
B1 M7
0.000 0.000 0.000
0.000
0.000 0.000 0.000
­ 1.5915E01
D1 M61
­ ­ ­
­
­
­
­ 1.5915E01 0.000
D1 M73
0.000 0.000 0.000
0.000
0.000 0.000
­ 1.5915E01
0.000
Aster
Not
xx
NR
yy
NR
xy
NR
xx
M
yy
M
xy
M
X
Q
y
Q
O M78
0.000 0.000 0.000 ­ 3.2177
E02 ­ 3.2939 E02
8.66 E04
­ 4.853 E03
1.4700 E02
O M79
­ ­ ­
­
­
­
­ 2.326
E03
1.3977
E02
O M66
­ ­ ­
­
­
­
­ 1.927
E03
1.4404
E02
O M67
­ ­ ­
­
­
­
­ 5.255
E03
1.5122
E02
With
0.000 0.000 0.000 ­ 6.2
E08
6.2 E08
1.9225 E02
­ 1.63 E04
­ 1.26 E04
B
0.000 0.000 0.000 7.7
E08
­ 8.5 E08
­ 1.9315 E02
2.11 E04
­ 8.0 E05
C
0.000 0.000 0.000 ­ 8.7
E08
7.7 E08
1.8856 E02
­ 3.0 E07
1.70 E04
D
0.000 0.000 0.000 6.7
E08
­ 6.0 E08
­ 1.8705 E02
­ 2.49 E05
2.17 E05
B1 M6
0.000 0.000 0.000 ­ 3.20
E05
­ 5.31 E05
5.87 E05
­ 3.42 E04
­ 1.6715 E01
B1 M7
0.000 0.000 0.000 ­ 3.20
E05
­ 5.31 E05
2.24 E05
3.32 E04
­ 1.6714 E01
D1 M61
­ ­ ­
­
­
­
­ 1.5743
E01
­ 2.81
E04
D1 M73
0.000 0.000 0.000 ­ 1.72
E05
­ 2.15 E05
­ 2.34 E04
­ 1.5743 E01
3.12 E04
Difference
Not
xx
NR
yy
NR
xy
NR
xx
M
yy
M
xy
M
X
Q
y
Q
O M78
0.000 0.000 0.000
1.624%
4.031% 8.67
E04 ­ 0.005
0.015
O M79
­ ­ ­
­
­
­
­ 0.002
0.014
O M66
­ ­ ­
­
­
­
­ 0.002
0.014
O M67
­ ­ ­
­
­
­
­ 0.005
0.015
With
0.000 0.000 0.000 ­ 6.2
E08 6.2
E08 1.192% ­ 1.63 E04
­ 1.26 E04
B
0.000 0.000 0.000 7.7
E08 ­ 8.5
E08 1.672% 2.11 E04
­ 8.0 E05
C
0.000 0.000 0.000 ­ 8.7
E08 7.7
E08 ­ 0.742% ­ 3.0 E07
1.70 E04
D
0.000 0.000 0.000 6.7
E08 ­ 6.0
E08 ­ 1.541% ­ 2.49 E05
2.17 E05
B1 M6
0.000 0.000 0.000 ­ 3.20
E05
­ 5.31 E05
8.87 E05 ­ 3.42
E04 5.026%
B1 M7
0.000 0.000 0.000 ­ 3.20
E05
­ 5.31 E05
2.24 E05 3.32
E04 5.023%
D1 M61
­ ­ ­
­
­
­
­ 1.078% ­ 2.81
E04
D1 M73
0.000 0.000 0.000 ­ 1.73
E05
­ 2.15 E05
­ 2.34 E04 ­ 1.082% 3.12
E04
background image
Code_Aster
®
Version
6.0
Titrate:
SSLS118 - Square plate subjected to a sinusoidal pressure
Date:
16/11/01
Author (S):
P. MASSIN, NR. RAHNI
Key
:
V3.03.118-A
Page:
30/62
Manual of Validation
V3.03 booklet: Linear statics of the plates and hulls
HI-75/01/010/A
14.2 Parameters
of execution
Version: 6.0.37
Machine: SGI - ORIGIN 2000
Overall dimension memory:
32 Mo
Time CPU To use:
9.83 seconds

15 Modeling
G
15.1 Characteristics of modeling
Triangular element of hull
DST
.
The model of plate associated with modeling D is turned of 20 degrees according to the nautical angle
alpha and of 30 degrees according to beta. The classification of the meshs is identical to that of
modeling D.
Limiting conditions:
LIAISON_OBLIQUE
(GROUP_NO: AB, ANGL_NAUT= (20., 30., 0.), DX: 0., DZ: 0., DRY:0.)
(GROUP_NO: BC, ANGL_NAUT= (20., 30., 0.), DY: 0., DZ: 0., DRX:0.)
(GROUP_NO: CD, ANGL_NAUT= (20., 30., 0.), DX: 0., DZ: 0., DRY:0.)
(GROUP_NO: DA, ANGL_NAUT= (20., 30., 0.), DY: 0., DZ: 0., DRX:0.)
(GROUP_NO: O, ANGL_NAUT= (20., 30., 0.), DX: 0., DY: 0., DRX:0., DRY:0., DRZ:0.)
FORCE_ARETE
(GROUP_NO: AB MY:0.)
(GROUP_NO: BC MX:0.)
(GROUP_NO: CD MY:0.)
(GROUP_NO: DA MX:0.)
background image
Code_Aster
®
Version
6.0
Titrate:
SSLS118 - Square plate subjected to a sinusoidal pressure
Date:
16/11/01
Author (S):
P. MASSIN, NR. RAHNI
Key
:
V3.03.118-A
Page:
31/62
Manual of Validation
V3.03 booklet: Linear statics of the plates and hulls
HI-75/01/010/A
Not O
Meshs: M132, M156, M134, M158
Not A
Net: M1
Not B
Net: M266
Not C
Net: M288
Not D
Net: M23
Not B1
Meshs: M122, M146
Not D1
Meshs: M14, M11

15.2 Characteristics
mesh
A number of nodes: 170
A number of meshs and type: 288 TRIA3

15.3 Functionalities
tested
Controls
AFFE_MODELE
“MECHANICAL”
“DST”
MODI_MAILLAGE ORIE_NORME_COQUE
AFFE_CARA_ELEM HULL
THICK
ANGLE_REP
DEFI_MATERIAU ELAS
FORMULATE
AFFE_CHAR_MECA FORCE_COQUE
NEAR
LIAISON_OBLIQUE
ANGLE_NAUT
GROUP_NO
FORCE_ARETE
MECA_STATIQUE
CREA_CHAMP
CALC_CHAM_ELEM SIGM_ELNO_DEPL
DEGE_ELNO_DEPL

15.4 Remarks
The value of reference of displacement to the point O is obtained by projecting calculated displacement
for modeling D in the reference mark turned (displacement for modeling D being vertical, it
new displacement is a function of the projection of axis Z).
In the local reference mark, the projection of axis Z is as follows:




cos
sin
sin
cos
sin
, with
.
20
=
and
.
30
=
In addition, the expression of the sinusoidal pressure in the turned reference mark becomes:
Error! Objects cannot be created starting from the field codes of working.
background image
Code_Aster
®
Version
6.0
Titrate:
SSLS118 - Square plate subjected to a sinusoidal pressure
Date:
16/11/01
Author (S):
P. MASSIN, NR. RAHNI
Key
:
V3.03.118-A
Page:
32/62
Manual of Validation
V3.03 booklet: Linear statics of the plates and hulls
HI-75/01/010/A
16 Results of modeling G
16.1 Values
tested
Identification
Reference
Aster Difference
Tolerance
Not O
M134
xx
on lower layer
18.990 18.872
­ 0.62% 1.0%
yy
on lower layer
18.990 18.896
­ 0.49% 1.0%
xy
on lower layer
0.000
­ 2.61 E04
­ 2.61 E04
0.2
xz
on lower layer
0.000 0.000 0.000
0.02
yz
on lower layer
0.000 0.000 0.000
0.08
Stresses
xx
on layer medium
0.000
­ 3. E14
­ 3. E14
0.01
yy
on layer medium
0.000
7. E14
7. E14
0.01
xy
on layer medium
0.000
­ 8. E14
­ 8. E14
0.01
xz
on layer medium
0.000 ­ 2.8134
E01
­ 0.281
0.02
yz
on layer medium
0.000 3.0148
E01 0.301 0.08
xx
on higher layer
­ 18.990 ­ 18.872 ­ 0.62% 1.0%
yy
on higher layer
­ 18.990 ­ 18.896 ­ 0.49 1.0%
xy
on higher layer
0.000
2.61 E04
2.61 E04
0.2
xz
on higher layer
0.000 0.000 0.000
0.02
yz
on higher layer
0.000 0.000 0.000
0.08
Displacement DZ
­ 1.0002
­ 1.0350 3.484%
4.2%
Not B1
M122
xx
on lower layer
0.000 ­ 5.2518
E01
­ 0.525 0.08
yy
on lower layer
0.000 ­ 6.8948
E01
­ 0.689 0.2
xy
on lower layer
0.000 ­ 7.305
E01
­ 0.731
0.03
xz
on lower layer
0.000 0.000 0.000 0.05
yz
on lower layer
0.000 0.000 0.000 1.6
xx
on layer medium
0.000
­ 1. E15
­ 1. E15
0.01
yy
on layer medium
0.000
­ 4. E15
­ 4. E15
0.01
Stresses
xy
on layer medium
0.000
­ 9. E15
­ 9. E15
0.01
xz
on layer medium
0.000 ­ 4.900
E02
­ 0.049
0.06
yz
on layer medium
­ 2.39732 ­ 2.3421 ­ 2.3% 36.0%
xx
on higher layer
0.000 5.2518
E01 0.525
0.08
yy
on higher layer
0.000 6.8948
E01 0.689
0.2
xy
on higher layer
0.000 7.3051
E01 0.731
0.03
xz
on higher layer
0.000 0.000 0.000 0.05
yz
on higher layer
0.000 0.000 0.000 1.6
background image
Code_Aster
®
Version
6.0
Titrate:
SSLS118 - Square plate subjected to a sinusoidal pressure
Date:
16/11/01
Author (S):
P. MASSIN, NR. RAHNI
Key
:
V3.03.118-A
Page:
33/62
Manual of Validation
V3.03 booklet: Linear statics of the plates and hulls
HI-75/01/010/A
Reference
Not
xx
NR
yy
NR
xy
NR
xx
M
yy
M
xy
M
X
T
y
T
O M134
0.000 0.000 0.000 ­ 3.1662E02
­ 3.1662E02 0.000
0.000
0.000
O M158
­ ­ ­
­
­
­
0.000
0.000
O M132
­ ­ ­
­
­
­
0.000
0.000
O M156
­ ­ ­
­
­
­
0.000
0.000
With
0.000 0.000 0.000
0.000
0.000 1.8997E02 0.000
0.000
B
0.000 0.000 0.000
0.000
0.000 ­ 1.8997E02 0.000
0.000
C
0.000 0.000 0.000
0.000
0.000 1.8997E02 0.000
0.000
D
0.000 0.000 0.000
0.000
0.000 ­ 1.8997E02 0.000
0.000
B1 M122
0.000 0.000 0.000
0.000
0.000 0.000 0.000
­ 1.5915E01
B1 M146
0.000 0.000 0.000
0.000
0.000 0.000 0.000
­ 1.5915E01
D1 M11
­ ­ ­
­
­
­
­ 1.5915E01 0.000
D1 M14
0.000 0.000 0.000
0.000
0.000 0.000
­ 1.5915E01
0.000
Aster
Not
xx
NR
yy
NR
xy
NR
xx
M
yy
M
xy
M
X
Q
y
Q
O M134
0.000 0.000 0.000 ­ 3.1453
E02
­ 3.1494 E02
4.36 E07
­ 1.8756 E02
2.009 E02
O M158
­
­
­
­
­
­
2.2389 E02
1.7581 E02
O M132
­
­
­
­
­
­
­ 1.8756 E02
­ 2.009 E02
O M156
­
­
­
­
­
­
2.2389 E02
­ 1.7581 E02
With
0.000 0.000 0.000 7.61
E04
1.6 E05
1.8869 E02
3.8490 E02
­ 9.68 E04
B
0.000 0.000 0.000 ­ 2.69
E05
2.69 E05
­ 1.8415 E02
1.87 E04
1.87 E04
C
0.000 0.000 0.000 2.69
E05
2.69 E05
1.8415 E02
1.87 E04
­ 1.87 E04
D
0.000 0.000 0.000 7.61
E04
1.6 E05
­ 1.8869 E02
­ 3.849 E02
9.68 E04
B1 M122
0.000 0.000 0.000 8.75
E04
1.149 E03
1.217 E03
­ 3.266 E03
­ 1.5614 E01
B1 M146
0.000 0.000 0.000 2.21
E04
3.149 E03
­ 9.47 E04
­ 3.148 E03
­ 1.5117 E01
D1 M11
­
­
­
­
­
­
­ 1.4437 E01
4.336 E03
D1 M14
0.000 0.000 0.000 1.446
E03
4.34 E04
­ 4.30 E04
­ 1.6235 E01
9.371 E03
Difference
Not
xx
NR
yy
NR
xy
NR
xx
M
yy
M
xy
M
X
Q
y
Q
O M134
0.000 0.000 0.000
­ 0.66%
­ 0.531% 4.36
E07 ­ 0.019
0.02
O M158
­ ­ ­
­
­
­
0.022
0.018
O M132
­ ­ ­
­
­
­
­ 0.019
­ 0.02
O M156
­ ­ ­
­
­
­
0.022
­ 0.018
With
0.000 0.000 0.000 7.61
E04 1.6
E05 ­ 0.673% ­ 0.038
­ 9.68
E04
B
0.000 0.000 0.000 ­ 2.69
E05 2.69
E05 ­ 3.065% 1.87 E04
1.87 E04
C
0.000 0.000 0.000 ­ 2.69
E05 2.69
E05 ­ 3.065% 1.87 E04
­ 1.87 E04
D
0.000 0.000 0.000 7.61
E04 1.6
E05 ­ 0.673% ­ 0.038 9.68
E04
B1 M122
0.000 0.000 0.000 8.75
E04
0.001 0.001 ­ 0.003
­ 1.891%
B1 M146
0.000 0.000 0.000 2.21
E04
0.003 ­ 9.47
E04 ­ 0.003 ­ 5.013%
D1 M11
­ ­ ­
­
­
­
­ 9.29%
0.004
D1 M14
0.000 0.000 0.000
0.001
4.34
E04 ­ 4.30
E04 2.013%
0.009
background image
Code_Aster
®
Version
6.0
Titrate:
SSLS118 - Square plate subjected to a sinusoidal pressure
Date:
16/11/01
Author (S):
P. MASSIN, NR. RAHNI
Key
:
V3.03.118-A
Page:
34/62
Manual of Validation
V3.03 booklet: Linear statics of the plates and hulls
HI-75/01/010/A
16.2 Parameters
of execution
Version: 6.0.37
Machine: SGI - ORIGIN 2000
Overall dimension memory:
32 Mo
Time CPU To use:
7.98 seconds

17 Modeling
H
17.1 Characteristics of modeling
Triangular element of hull
COQUE_3D
.
The model of plate associated with modeling E is turned of 20 degrees according to the nautical angle
alpha and of 30 degrees according to beta. The classification of the meshs is identical to that of
modeling E.
Limiting conditions:
LIAISON_OBLIQUE
(GROUP_NO: AB, ANGL_NAUT= (20., 30., 0.), DX: 0., DZ: 0., DRY:0.)
(GROUP_NO: BC, ANGL_NAUT= (20., 30., 0.), DY: 0., DZ: 0., DRX:0.)
(GROUP_NO: CD, ANGL_NAUT= (20., 30., 0.), DX: 0., DZ: 0., DRY:0.)
(GROUP_NO: DA, ANGL_NAUT= (20., 30., 0.), DY: 0., DZ: 0., DRX:0.)
(GROUP_NO: O, ANGL_NAUT= (20., 30., 0.), DX: 0., DY: 0., DRX:0., DRY:0., DRZ:0.)
FORCE_ARETE
(GROUP_NO: AB MY:0.)
(GROUP_NO: BC MX:0.)
(GROUP_NO: CD MY:0.)
(GROUP_NO: DA MX:0.)
background image
Code_Aster
®
Version
6.0
Titrate:
SSLS118 - Square plate subjected to a sinusoidal pressure
Date:
16/11/01
Author (S):
P. MASSIN, NR. RAHNI
Key
:
V3.03.118-A
Page:
35/62
Manual of Validation
V3.03 booklet: Linear statics of the plates and hulls
HI-75/01/010/A
Not O
Meshs: M132, M156, M134, M158
Not A
Net: M1
Not B
Net: M266
Not C
Net: M288
Not D
Net: M23
Not B1
Meshs: M122, M146
Not D1
Meshs: M14, M11

17.2 Characteristics
mesh
A number of nodes: 626
A number of meshs and type: 288 TRIA6

17.3 Functionalities
tested
Controls
AFFE_MODELE
“MECHANICAL”
“COQUE_3D”
CREA_MAILLAGE MODI_MAILLE
“TRIA6_7”
MODI_MAILLAGE ORIE_NORME_COQUE
AFFE_CARA_ELEM HULL
THICK
ANGLE_REP
DEFI_MATERIAU ELAS
FORMULATE
AFFE_CHAR_MECA FORCE_COQUE
NEAR
LIAISON_OBLIQUE
ANGLE_NAUT
GROUP_NO
FORCE_ARETE
MECA_STATIQUE
CREA_CHAMP
CALC_CHAM_ELEM SIGM_ELNO_DEPL
DEGE_ELNO_DEPL

17.4 Remarks
The value of reference of displacement to the point O is obtained by projecting calculated displacement
for modeling E in the reference mark turned (displacement for modeling E being vertical, it
new displacement is a function of the projection of axis Z).
In the local reference mark, the projection of axis Z is as follows:




cos
sin
sin
cos
sin
, with
.
20
=
and
.
30
=

In addition, the expression of the sinusoidal pressure in the turned reference mark becomes:
has
X
y
has
Z
y
X
F
P
sin
cos
sin
sin
cos
sin
cos
cos
sin
0
-
-
+
=
background image
Code_Aster
®
Version
6.0
Titrate:
SSLS118 - Square plate subjected to a sinusoidal pressure
Date:
16/11/01
Author (S):
P. MASSIN, NR. RAHNI
Key
:
V3.03.118-A
Page:
36/62
Manual of Validation
V3.03 booklet: Linear statics of the plates and hulls
HI-75/01/010/A
18 Results of modeling H
18.1 Values
tested
Identification
Reference
Aster Difference
Tolerance
Not O
M134
xx
on lower layer
18.990 18.920
­ 0.364%
1.0%
yy
on lower layer
18.990 19.099 0.579 1.0%
xy
on lower layer
0.000 ­ 1.2540
E01
­ 0.125
0.01
xz
on lower layer
0.000 ­ 1.688
E02
­ 0.017 0.01
yz
on lower layer
0.000 7.210
E02 0.072 0.01
Stresses
xx
on layer medium
0.000 1.E13 1.
E13
0.01
yy
on layer medium
0.000
3. E14
3. E14
0.01
xy
on layer medium
0.000
2. E13
2. E13
0.01
xz
on layer medium
0.000 ­ 1.688
E02
­ 0.017 0.02
yz
on layer medium
0.000 7.210
E02 0.072 0.08
xx
on higher layer
­ 18.990 ­ 18.920
­ 0.364% 1%
yy
on higher layer
­ 18.990 ­ 19.099 0.579% 1%
xy
on higher layer
0.000 1.2540
E01 0.125 0.2
xz
on higher layer
0.000 ­ 1.688
E02
­ 0.017 0.02
yz
on higher layer
0.000 7.210
E02 0.072 0.08
Displacement DZ
­ 1.0002
­ 1.0418 4.161%
4.2%
Not B1
M122
xx
on lower layer
0.000 6.291
E02 0.063 0.08
yy
on lower layer
0.000 1.448
E01 0.145 0.2
xy
on lower layer
0.000 ­ 2.025
E02 ­ 0.02
0.03
xz
on lower layer
0.000 ­ 4.916
E02
­ 0.049
0.05
yz
on lower layer
0.000 ­ 1.542
E01
­ 1.543
1.6
xx
on layer medium
0.000
­ 2. E14
­ 2. E14
0.01
yy
on layer medium
0.000
­ 8. E14
­ 8. E14
0.01
Stresses
xy
on layer medium
0.000
­ 2. E15
­ 2. E15
0.01
xz
on layer medium
0.000 ­ 4.916
E02
­ 0.049
0.06
yz
on layer medium
­ 2.39732 ­ 1.5426 ­ 35.651%
36%
xx
on higher layer
0.000 ­ 6.291
E02
­ 0.063
0.08
yy
on higher layer
0.000 ­ 1.448
E01
­ 0.145
0.2
xy
on higher layer
0.000 2.025
E02 0.02
0.03
xz
on higher layer
0.000 ­ 4.916
E02
­ 0.049
0.05
yz
on higher layer
0.000 ­ 1.5426
­ 1.543
1.6
background image
Code_Aster
®
Version
6.0
Titrate:
SSLS118 - Square plate subjected to a sinusoidal pressure
Date:
16/11/01
Author (S):
P. MASSIN, NR. RAHNI
Key
:
V3.03.118-A
Page:
37/62
Manual of Validation
V3.03 booklet: Linear statics of the plates and hulls
HI-75/01/010/A
Reference
Not
xx
NR
yy
NR
xy
NR
xx
M
yy
M
xy
M
X
T
y
T
O M134
0.000 0.000 0.000 ­ 3.1662E02
­ 3.1662E02
0.000 0.000 0.000
O M158
­ ­ ­
­
­
­
0.000
0.000
O M132
­ ­ ­
­
­
­
0.000
0.000
O M156
­ ­ ­
­
­
­
0.000
0.000
With
0.000 0.000 0.000
0.000
0.000 1.8997E02 0.000
0.000
B
0.000 0.000 0.000
0.000
0.000 ­ 1.8997E02
0.000
0.000
C
0.000 0.000 0.000
0.000
0.000 1.8997E02 0.000
0.000
D
0.000 0.000 0.000
0.000
0.000 ­ 1.8997E02
0.000
0.000
B1 M122
0.000 0.000 0.000
0.000
0.000 0.000 0.000 ­ 1.5915E01
B1 M146
0.000 0.000 0.000
0.000
0.000 0.000 0.000 ­ 1.5915E01
D1 M11
­ ­ ­
­
­
­
­ 1.5915E01
0.000
D1 M14
0.000 0.000 0.000
0.000
0.000 0.000 ­ 1.5915E01
0.000
Aster
Not
xx
NR
yy
NR
xy
NR
xx
M
yy
M
xy
M
X
Q
y
Q
O M134
0.000 0.000 0.000 ­ 3.1534
E02 ­ 3.1833 E02
2.09 E04
­ 1.688 E03
7.210 E03
O M158
­
­
­
­
­
­
­ 1.494 E03
8.008 E03
O M132
­
­
­
­
­
­
­ 1.283 E03
1.248 E03
O M156
­
­
­
­
­
­
­ 1.910 E03
­ 3.90 E04
With
0.000 0.000 0.000 3.69
E04
2.18 E04
1.9133 E02
­ 5.387 E03
7.027 E03
B
0.000 0.000 0.000 1.71
E04
1.61 E04
­ 1.8932 E02
­ 1.511 E03
1.513 E03
C
0.000 0.000 0.000 1.70
E04
1.56 E04
1.8815 E02
­ 1.463 E03
­ 1.508 E03
D
0.000 0.000 0.000 3.66
E04
2.13 E04
­ 1.8998 E02
­ 5.066 E03
­ 6.800 E03
B1 M122
0.000 0.000 0.000 ­ 1.04
E04
­ 2.41 E04
3.4 E05
­ 4.916 E03
­ 1.5426 E01
B1 M146
0.000 0.000 0.000 ­ 2.9
E05
­ 1.64 E04
­ 6.5 E07
2.7681 E01
­ 1.8932 E01
D1 M11
­
­
­
­
­
­
­ 1.8488 E01
­ 2.7113 E02
D1 M14
0.000 0.000 0.000 ­ 4.30
E04
­ 3.07 E04
4.2 E05
­ 1.4791 E01
­ 1.1165 E02
Difference
Not
xx
NR
yy
NR
xy
NR
xx
M
yy
M
xy
M
X
Q
y
Q
O M134
0.000 0.000 0.000 ­ 0.404%
0.538% 2.09
E04 ­ 0.002
0.007
O M158
­ ­ ­
­
­
­
­ 0.001
0.008
O M132
­ ­ ­
­
­
­
­ 0.001
0.001
O M156
­ ­ ­
­
­
­
­ 0.002
­ 3.90
E04
With
0.000 0.000 0.000 3.69
E04
2.18 E04
0.716%
­ 0.005
0.007
B
0.000 0.000 0.000 1.71
E04
1.61 E04
­ 0.344%
­ 0.002
0.002
C
0.000 0.000 0.000 1.70
E04
1.56 E04
­ 0.958%
­ 0.001
­ 0.002
D
0.000 0.000 0.000 3.66
E04
2.13 E04
0.003%
­ 0.005
­ 0.007
B1 M122
0.000 0.000 0.000 ­ 1.05
E04 ­ 2.41
E04 3.4
E05 ­ 0.005 ­ 3.072%
B1 M146
0.000 0.000 0.000 ­ 2.9
E05 ­ 1.65 E04
­ 6.5 E07
0.028
18.955%
D1 M11
­ ­ ­
­
­
­
16.17%
­ 0.027
D1 M14
0.000 0.000 0.000 ­ 4.31
E04 ­ 3.07
E04 4.2
E05 ­ 7.06%
­ 0.011
background image
Code_Aster
®
Version
6.0
Titrate:
SSLS118 - Square plate subjected to a sinusoidal pressure
Date:
16/11/01
Author (S):
P. MASSIN, NR. RAHNI
Key
:
V3.03.118-A
Page:
38/62
Manual of Validation
V3.03 booklet: Linear statics of the plates and hulls
HI-75/01/010/A
18.2 Parameters
of execution
Version: 6.0.37
Machine: SGI - ORIGIN 2000
Overall dimension memory:
32 Mo
Time CPU To use:
11.9 seconds

19 Modeling
I
19.1 Characteristics of modeling
Quadrangular element of hull
DSQ
. The plate is modelized with a mesh 24
X
24.
The reference mark user is confused with the reference mark of orthotropism.
Limiting conditions:
DDL_IMPO
(GROUP_NO: AB, DX: 0., DZ: 0., DRY:0.)
(GROUP_NO: BC, DY: 0., DZ: 0., DRX:0.)
(GROUP_NO: CD, DX: 0., DZ: 0., DRY:0.)
(GROUP_NO: DA, DY: 0., DZ: 0., DRX:0.)
(GROUP_NO: O, DX: 0., DY: 0., DRX:0., DRY:0., DRZ:0.)
FORCE_ARETE
(GROUP_NO: AB MY:0.)
(GROUP_NO: BC MX:0.)
(GROUP_NO: CD MY:0.)
(GROUP_NO: DA MX:0.)
background image
Code_Aster
®
Version
6.0
Titrate:
SSLS118 - Square plate subjected to a sinusoidal pressure
Date:
16/11/01
Author (S):
P. MASSIN, NR. RAHNI
Key
:
V3.03.118-A
Page:
39/62
Manual of Validation
V3.03 booklet: Linear statics of the plates and hulls
HI-75/01/010/A
Not O
Meshs: M276, M277, M300, M301
Not A
Net: M1
Not B
Net: M24
Not C
Net: M576
Not D
Net: M553
Not B1
Meshs: M12, M13
Not D1
Meshs: M289, M265

19.2 Characteristics
mesh
A number of nodes: 626
A number of meshs and type: 576 QUAD4

19.3 Functionalities
tested
Controls
AFFE_MODELE
“MECHANICAL”
“DST”
AFFE_CARA_ELEM HULL
THICK
ANGLE_REP
DEFI_MATERIAU ELAS
FORMULATE
AFFE_CHAR_MECA FORCE_COQUE
NEAR
DDL_IMPO
ANGLE_NAUT
GROUP_NO
FORCE_ARETE
MECA_STATIQUE
CREA_CHAMP
CALC_CHAM_ELEM SIGM_ELNO_DEPL
DEGE_ELNO_DEPL
background image
Code_Aster
®
Version
6.0
Titrate:
SSLS118 - Square plate subjected to a sinusoidal pressure
Date:
16/11/01
Author (S):
P. MASSIN, NR. RAHNI
Key
:
V3.03.118-A
Page:
40/62
Manual of Validation
V3.03 booklet: Linear statics of the plates and hulls
HI-75/01/010/A
20 Results of modeling I
20.1 Values
tested
Identification
Reference
Aster Difference
Tolerance
Not O
M300
xx
on lower layer
18.990 18.989
­ 0.005%
1.0%
yy
on lower layer
18.990 18.989
­ 0.005%
1.0%
xy
on lower layer
0.000 ­ 1.0
E14
­ 1.0E14
0.01
xz
on lower layer
0.000 0.000 0.000
0.01
yz
on lower layer
0.000 0.000 0.000
0.01
Stresses
xx
on layer medium
0.000 0.000 0.000
0.01
yy
on layer medium
0.000 0.000 0.000
0.01
xy
on layer medium
0.000 0.000 0.000
0.01
xz
on layer medium
0.000 ­ 0.1554
­ 0.155 0.26
yz
on layer medium
0.000 0.1554 0.155 0.26
xx
on higher layer
­ 18.990 ­ 18.989 ­ 0.005 1.0%
yy
on higher layer
­ 18.990 ­ 18.989 ­ 0.005 1.0%
xy
on higher layer
0.000 1.0
E14 1.0E14
0.01
xz
on higher layer
0.000 0.000 0.000
0.01
yz
on higher layer
0.000 0.000 0.000
0.01
Displacement DZ
­ 1.1549
­ 1.2120
4.95%
5.0%
Not B1
M12
xx
on lower layer
0.000 ­ 9.1146
E02
­ 0.091 0.1
yy
on lower layer
0.000 ­ 3.6678
E01
­ 0.367 0.4
xy
on lower layer
0.000 ­ 3.7119
E01
­ 0.371
0.74
xz
on lower layer
0.000 0.000 0.000 0.01
yz
on lower layer
0.000 0.000 0.000 0.01
xx
on layer medium
0.000 0.000 0.000 0.01
yy
on layer medium
0.000 0.000 0.000 0.01
Stresses
xy
on layer medium
0.000 0.000 0.000 0.01
xz
on layer medium
0.000
3.80 E05
3.80 E05
0.26
yz
on layer medium
­ 2.39732 ­ 2.3712 1.086% 21%
xx
on higher layer
0.000 9.1146
E02 0.091
0.1
yy
on higher layer
0.000 3.6678
E01 0.367
0.4
xy
on higher layer
0.000 3.7119
E01 0.371
0.74
xz
on higher layer
0.000 0.000 0.000 0.01
yz
on higher layer
0.000 0.000 0.000 0.01
background image
Code_Aster
®
Version
6.0
Titrate:
SSLS118 - Square plate subjected to a sinusoidal pressure
Date:
16/11/01
Author (S):
P. MASSIN, NR. RAHNI
Key
:
V3.03.118-A
Page:
41/62
Manual of Validation
V3.03 booklet: Linear statics of the plates and hulls
HI-75/01/010/A
Reference
Not
xx
NR
yy
NR
xy
NR
xx
M
yy
M
xy
M
X
T
y
T
O M300
0.000 0.000 0.000 ­ 3.1662E02
­ 3.1662E02
0.000 0.000 0.000
O M301
­ ­ ­
­
­
­
0.000
0.000
O M276
­ ­ ­
­
­
­
0.000
0.000
O M277
­ ­ ­
­
­
­
0.000
0.000
With
0.000 0.000 0.000
0.000
0.000 1.8997E02 0.000
0.000
B
0.000 0.000 0.000
0.000
0.000 ­ 1.8997E02 0.000
0.000
C
0.000 0.000 0.000
0.000
0.000 1.8997E02 0.000
0.000
D
0.000 0.000 0.000
0.000
0.000 ­ 1.8997E02 0.000
0.000
B1 M12
0.000 0.000 0.000
0.000
0.000 0.000 0.000
­ 1.5915E01
B1 M13
0.000 0.000 0.000
0.000
0.000 0.000 0.000
­ 1.5915E01
D1 M265
­ ­ ­
­
­
­
­ 1.5915E01 0.000
D1 M289
0.000 0.000 0.000
0.000
0.000 0.000
­ 1.5915E01
0.000
Aster
Not
xx
NR
yy
NR
xy
NR
xx
M
yy
M
xy
M
X
Q
y
Q
O M300
0.000 0.000
0.000 ­ 3.1648
E02 ­ 3.1648 E02
1.0 E17
­ 1.0361 E02
1.0361 E02
O M301
­
­
­
­
­
­
1.0361 E02
1.0361 E02
O M276
­
­
­
­
­
­
­ 1.0361 E02
­ 1.0361 E02
O M277
­
­
­
­
­
­
1.0361 E02
­ 1.0361 E02
With
0.000 0.000
0.000 1.86
E05
1.86 E05
1.8877 E02
3.87 E05
3.87 E05
B
0.000 0.000
0.000 1.86
E05
1.86 E06
­ 1.8877 E02
­ 3.87 E05
3.87 E05
C
0.000 0.000
0.000 1.86
E05
1.86 E05
1.8877 E02
­ 3.87 E05
­ 3.87 E05
D
0.000 0.000
0.000 1.86
E05
1.86 E05
­ 1.8877 E02
3.87 E05
­ 3.87 E05
B1 M12
0.000 0.000
0.000 1.52
E04
6.11 E04
6.19 E04
2.54 E06
­ 1.5808 E01
B1 M13
0.000 0.000
0.000 1.52
E04
6.11 E04
­ 6.19 E04
­ 2.54 E06
­ 1.5808 E01
D1 M265
­
­
­
­
­
­
­ 1.5808 E01
2.54 E06
D1 M289
0.000 0.000
0.000 6.11
E04
1.51 E04
­ 6.18 E04
­ 1.5808 E01
­ 2.56 E06
Difference
Not
xx
NR
yy
NR
xy
NR
xx
M
yy
M
xy
M
X
Q
y
Q
O M300
0.000 0.000
0.000 ­ 0.046%
­ 0.046% 1.0
E17
­ 0.01
0.01
O M301
­ ­ ­
­
­
­
0.01
0.01
O M276
­ ­ ­
­
­
­
­ 0.01
­ 0.01
O M277
­ ­ ­
­
­
­
0.01
­ 0.01
With
0.000 0.000
0.000 1.86
E05 1.86
E05 ­ 0.631% 3.87 E05
3.87 E05
B
0.000 0.000
0.000 1.86
E05 1.86
E05 ­ 0.631% ­ 3.87 E05
3.87 E05
C
0.000 0.000
0.000 1.86
E05 1.86
E05 ­ 0.631% ­ 3.87 E05
­ 3.87 E05
D
0.000 0.000
0.000 1.86
E05 1.86
E05 ­ 0.631% 3.87 E05
­ 3.87 E05
B1 M12
0.000 0.000
0.000 1.52
E04
6.11 E04
6.19 E04 2.54
E06 ­ 0.672%
B1 M13
0.000 0.000
0.000 1.52
E04
6.11 E04
­ 6.19 E04 ­ 2.54
E06 ­ 0.672%
D1 M265
­ ­ ­
­
­
­
­ 0.672% 2.54
E06
D1 M289
0.000 0.000
0.000 6.11
E04
1.51 E04
­ 6.18 E04 ­ 0.672% ­ 2.54
E06
20.2 Parameters
of execution
Version: 6.0.37
Machine: SGI - ORIGIN 2000
Overall dimension memory:
32 Mo
Time CPU To use:
9.88 seconds
background image
Code_Aster
®
Version
6.0
Titrate:
SSLS118 - Square plate subjected to a sinusoidal pressure
Date:
16/11/01
Author (S):
P. MASSIN, NR. RAHNI
Key
:
V3.03.118-A
Page:
42/62
Manual of Validation
V3.03 booklet: Linear statics of the plates and hulls
HI-75/01/010/A
21 Modeling
J
21.1 Characteristics of modeling
Quadrangular element of hull
DSQ
. The plate is modelized with a mesh 48
X
48.
The reference mark user is confused with the reference mark of orthotropism.
Limiting conditions:
DDL_IMPO
(GROUP_NO: AB, DX: 0., DZ: 0., DRY:0.)
(GROUP_NO: BC, DY: 0., DZ: 0., DRX:0.)
(GROUP_NO: CD, DX: 0., DZ: 0., DRY:0.)
(GROUP_NO: DA, DY: 0., DZ: 0., DRX:0.)
(GROUP_NO: O, DX: 0., DY: 0., DRX:0., DRY:0., DRZ:0.)
FORCE_ARETE
(GROUP_NO: AB MY:0.)
(GROUP_NO: BC MX:0.)
(GROUP_NO: CD MY:0.)
(GROUP_NO: DA MX:0.)

Not O
Meshs: M1128, M1129, M1176, M1177
Not A
Net: M1
Not B
Net: M48
Not C
Net: M2304
Not D
Net: M2257
Not B1
Meshs: M24, M25
Not D1
Meshs: M1153, M1105
background image
Code_Aster
®
Version
6.0
Titrate:
SSLS118 - Square plate subjected to a sinusoidal pressure
Date:
16/11/01
Author (S):
P. MASSIN, NR. RAHNI
Key
:
V3.03.118-A
Page:
43/62
Manual of Validation
V3.03 booklet: Linear statics of the plates and hulls
HI-75/01/010/A
21.2 Characteristics
mesh
A number of nodes: 2402
A number of meshs and type: 2304 QUAD4

21.3 Functionalities
tested
Controls
AFFE_MODELE
“MECHANICAL”
“DST”
AFFE_CARA_ELEM HULL
THICK
ANGLE_REP
DEFI_MATERIAU ELAS
FORMULATE
AFFE_CHAR_MECA FORCE_COQUE
NEAR
DDL_IMPO
ANGLE_NAUT
GROUP_NO
FORCE_ARETE
MECA_STATIQUE
CREA_CHAMP
CALC_CHAM_ELEM SIGM_ELNO_DEPL
DEGE_ELNO_DEPL
background image
Code_Aster
®
Version
6.0
Titrate:
SSLS118 - Square plate subjected to a sinusoidal pressure
Date:
16/11/01
Author (S):
P. MASSIN, NR. RAHNI
Key
:
V3.03.118-A
Page:
44/62
Manual of Validation
V3.03 booklet: Linear statics of the plates and hulls
HI-75/01/010/A
22 Results of modeling J
22.1 Values
tested
Identification
Reference
Aster Difference
Tolerance
Not O
M1176
xx
on lower layer
18.990 18.995 0.029%
1.0%
yy
on lower layer
18.990 18.995 0.029%
1.0%
xy
on lower layer
0.000
­ 2.7 E12
­ 2.7 E12
0.01
xz
on lower layer
0.000 0.000 0.000
0.01
yz
on lower layer
0.000 0.000 0.000
0.01
Stresses
xx
on layer medium
0.000 0.000 0.000
0.01
yy
on layer medium
0.000 0.000 0.000
0.01
xy
on layer medium
0.000 0.000 0.000
0.01
xz
on layer medium
0.000 ­ 7.802
E02
­ 0.078 0.26
yz
on layer medium
0.000 7.802
E02 0.078 0.26
xx
on higher layer
­ 18.990 ­ 18.995 0.029% 1.0%
yy
on higher layer
­ 18.990 ­ 18.995 0.029 1.0%
xy
on higher layer
0.000
2.7 E12
2.7 E12
0.01
xz
on higher layer
0.000 0.000 0.000
0.01
yz
on higher layer
0.000 0.000 0.000
0.01
Displacement DZ
­ 1.1549
­ 1.2148 5.187%
5.2%
Not B1
M24
xx
on lower layer
0.000 ­ 4.6366
E02
­ 0.046 0.1
yy
on lower layer
0.000 ­ 1.8574
E01
­ 0.186 0.4
xy
on lower layer
0.000 ­ 1.8628
E01
­ 0.186
0.74
xz
on lower layer
0.000 0.000 0.000 0.01
yz
on lower layer
0.000 0.000 0.000 0.01
xx
on layer medium
0.000 0.000 0.000 0.01
yy
on layer medium
0.000 0.000 0.000 0.01
Stresses
xy
on layer medium
0.000 0.000 0.000 0.01
xz
on layer medium
0.000
2.47 E06
2.47 E07
0.26
yz
on layer medium
­ 2.39732 ­ 2.3833 ­ 0.583% 21%
xx
on higher layer
0.000 4.6366
E02 0.046
0.1
yy
on higher layer
0.000 1.8574
E01 0.186
0.4
xy
on higher layer
0.000 1.8628
E01 0.186
0.74
xz
on higher layer
0.000 0.000 0.000 0.01
yz
on higher layer
0.000 0.000 0.000 0.01
background image
Code_Aster
®
Version
6.0
Titrate:
SSLS118 - Square plate subjected to a sinusoidal pressure
Date:
16/11/01
Author (S):
P. MASSIN, NR. RAHNI
Key
:
V3.03.118-A
Page:
45/62
Manual of Validation
V3.03 booklet: Linear statics of the plates and hulls
HI-75/01/010/A
Reference
Not
xx
NR
yy
NR
xy
NR
xx
M
yy
M
xy
M
X
T
y
T
O M1176
0.000 0.000 0.000 ­ 3.1662E02
­ 3.1662E02
0.000 0.000 0.000
O M1177
­ ­ ­
­
­
­
0.000
0.000
O M1128
­ ­ ­
­
­
­
0.000
0.000
O M1129
­ ­ ­
­
­
­
0.000
0.000
With
0.000 0.000 0.000
0.000
0.000 1.8997E02 0.000
0.000
B
0.000 0.000 0.000
0.000
0.000 ­ 1.8997
E02 0.000
0.000
C
0.000 0.000 0.000
0.000
0.000 1.8997E02 0.000
0.000
D
0.000 0.000 0.000
0.000
0.000 ­ 1.8997E02 0.000
0.000
B1 M24
0.000 0.000 0.000
0.000
0.000 0.000 0.000
­ 1.5915E01
B1 M25
0.000 0.000 0.000
0.000
0.000 0.000 0.000
­ 1.5915E01
D1 M1105
­ ­ ­
­
­
­ ­ 1.5915E01 0.000
D1 M1153
0.000 0.000 0.000
0.000
0.000 0.000
­ 1.5915E01
0.000
Aster
Not
xx
NR
yy
NR
xy
NR
xx
M
yy
M
xy
M
X
Q
y
Q
O M1176
0.000 0.000 0.000
­ 3.1659
E02 ­ 3.1659 E02
4.5 E15
­ 5.201 E03
5.201 E03
O M1177
­
­
­
­
­
­
5.201 E03
5.201 E03
O M1128
­
­
­
­
­
­
­ 5.201 E03
­ 5.201 E03
O M1129
­
­
­
­
­
­
5.201 E03
­ 5.201 E03
With
0.000 0.000 0.000 4.83
E06
4.83 E06
1.8967 E02
5.03 E06
5.03 E06
B
0.000 0.000 0.000 4.83
E06
4.83 E06
­ 1.8967 E02
­ 5.03 E06
5.03 E06
C
0.000 0.000 0.000 4.83
E06
4.83 E06
1.8967 E02
­ 5.03 E06
­ 5.03 E06
D
0.000 0.000 0.000 4.83
E06
4.83 E06
­ 1.8967 E02
5.03 E06
­ 5.03 E06
B1 M24
0.000 0.000 0.000 7.73
E05
3.10 E04
3.10 E04
1.65 E07
­ 1.5889 E01
B1 M25
0.000 0.000 0.000 7.73
E05
3.10 E04
­ 3.10 E04
­ 1.65 E07
­ 1.5889 E01
D1 M1105
­
­
­
­
­
­
­ 1.5889 E01
1.6 E07
D1 M1153
0.000 0.000 0.000 3.10
E04
7.73 E05
­ 3.10 E04
­ 1.5889 E01
­ 1.6 E07
Difference
Not
xx
NR
yy
NR
xy
NR
xx
M
yy
M
xy
M
X
Q
y
Q
O M1176
0.000 0.000 0.000 ­ 0.011
­ 0.011 4.5
E15 ­ 0.005 0.005
O M1177
­ ­ ­
­
­
­
0.005
0.005
O M1128
­ ­ ­
­
­
­
­ 0.005 ­ 0.005
O M1129
­ ­ ­
­
­
­
0.005
0.005
With
0.000 0.000 0.000 4.83
E06 4.83
E06 ­ 0.159% 5.03 E06
5.03 E06
B
0.000 0.000 0.000 4.83
E06 4.83
E06 ­ 0.159% ­ 5.03 E06
5.03 E06
C
0.000 0.000 0.000 4.83
E06 4.83
E06 ­ 0.159% ­ 5.03 E06
­ 5.03 E06
D
0.000 0.000 0.000 4.83
E06 4.83
E06 ­ 0.159% 5.03 E06
­ 5.03 E06
B1 M24
0.000 0.000 0.000 7.73
E05
3.10 E04
3.10 E04 1.65
E07 ­ 0.166%
B1 M25
0.000 0.000 0.000 7.73
E05
3.10 E04
­ 3.10 E04 ­ 1.65
E07 ­ 0.166%
D1 M1105
­ ­ ­
­
­
­
­ 0.166% 1.6
E07
D1 M1153
0.000 0.000 0.000 3.10
E04
7.73 E05
­ 3.10 E04 ­ 0.166% ­ 1.6
E07
background image
Code_Aster
®
Version
6.0
Titrate:
SSLS118 - Square plate subjected to a sinusoidal pressure
Date:
16/11/01
Author (S):
P. MASSIN, NR. RAHNI
Key
:
V3.03.118-A
Page:
46/62
Manual of Validation
V3.03 booklet: Linear statics of the plates and hulls
HI-75/01/010/A
22.2 Parameters
of execution
Version: 6.0.37
Machine: SGI - ORIGIN 2000
Overall dimension memory:
32 Mo
Time CPU To use:
21.89 seconds

23 Modeling
K
23.1 Characteristics of modeling
Isotropic multi-layer plate (5 layers in the thickness). Triangular element of hull
DST.
The reference mark user is confused with the reference mark of orthotropism.
Limiting conditions:
DDL_IMPO
(GROUP_NO: AB, DX: 0., DZ: 0., DRY:0.)
(GROUP_NO: BC, DY: 0., DZ: 0., DRX:0.)
(GROUP_NO: CD, DX: 0., DZ: 0., DRY:0.)
(GROUP_NO: DA, DY: 0., DZ: 0., DRX:0.)
(GROUP_NO: O, DX: 0., DY: 0., DRX:0., DRY:0., DRZ:0.)
FORCE_ARETE
(GROUP_NO: AB MY:0.)
(GROUP_NO: BC MX:0.)
(GROUP_NO: CD MY:0.)
(GROUP_NO: DA MX:0.)
background image
Code_Aster
®
Version
6.0
Titrate:
SSLS118 - Square plate subjected to a sinusoidal pressure
Date:
16/11/01
Author (S):
P. MASSIN, NR. RAHNI
Key
:
V3.03.118-A
Page:
47/62
Manual of Validation
V3.03 booklet: Linear statics of the plates and hulls
HI-75/01/010/A
Not O
Meshs: M132, M156, M134, M158
Not A
Net: M1
Not B
Net: M266
Not C
Net: M288
Not D
Net: M23
Not B1
Meshs: M122, M146
Not D1
Meshs: M14, M11

23.2 Characteristics
mesh
A number of nodes: 170
A number of meshs and type: 288 TRIA3

23.3 Functionalities
tested
Controls
AFFE_MODELE
“MECHANICAL”
“DST”
MODI_MAILLAGE ORIE_NORME_COQUE
AFFE_CARA_ELEM HULL
THICK
ANGLE_REP
DEFI_MATERIAU ELAS_ORTH
E_L
E_T
E_N
G_TN
G_LT
G_LN
NU_LT
DEFI_COQU_MULT SLEEP
FORMULATE
AFFE_CHAR_MECA FORCE_COQUE
NEAR
DDL_IMPO
ANGLE_NAUT
GROUP_NO
FORCE_ARETE
MECA_STATIQUE
CREA_CHAMP
CALC_CHAM_ELEM SIGM_ELNO_DEPL
DEGE_ELNO_DEPL
background image
Code_Aster
®
Version
6.0
Titrate:
SSLS118 - Square plate subjected to a sinusoidal pressure
Date:
16/11/01
Author (S):
P. MASSIN, NR. RAHNI
Key
:
V3.03.118-A
Page:
48/62
Manual of Validation
V3.03 booklet: Linear statics of the plates and hulls
HI-75/01/010/A
24 Results of modeling K
24.1 Values
tested
Identification
Reference
Aster Difference
Tolerance
Not O
M134
Lay down 1
xx
on lower layer
18.990 18.872
­ 0.62% 1.0%
yy
on lower layer
18.990 18.896
­ 0.49% 1.0%
xy
on lower layer
0.000
­ 2.61 E04
­ 2.61 E04
0.01
xz
on lower layer
0.000 0.000 0.000
0.01
yz
on lower layer
0.000 0.000 0.000
0.01
3 sleep
xx
on layer medium
0.000 0.000 0.000
0.01
yy
on layer medium
0.000 0.000 0.000
0.01
xy
on layer medium
0.000 0.000 0.000
0.01
xz
on layer medium
0.000 ­ 2.8134
E01
­ 0.281
0.4
yz
on layer medium
0.000 3.0148
E01 0.301 0.4
5 sleep
xx
on higher layer
­ 18.990 ­ 18.872 ­ 0.62% 1%
yy
on higher layer
­ 18.990 ­ 18.896 ­ 0.49% 1%
xy
on higher layer
0.000
2.61 E04
2.61 E04
0.01
xz
on higher layer
0.000 0.000 0.000
0.01
yz
on higher layer
0.000 0.000 0.000
0.01
Displacement DZ
­ 1.1549
­ 1.1951 3.487%
4.1%
Not B1
M122
Lay down 1
xx
on lower layer
0.000 ­ 5.2518
E01
­ 0.525 0.8
yy
on lower layer
0.000 ­ 6.8948
E01
­ 0.689 0.8
xy
on lower layer
0.000 ­ 7.305
E01
­ 0.731
0.8
xz
on lower layer
0.000 0.000 0.000 0.01
yz
on lower layer
0.000 0.000 0.000 0.01
3 sleep
xx
on layer medium
0.000 0.000 0.000 0.01
yy
on layer medium
0.000 0.000 0.000 0.01
xy
on layer medium
0.000 0.000 0.000 0.01
xz
on layer medium
0.000 ­ 4.900
E02
­ 0.049
0.05
yz
on layer medium
­ 2.39732 ­ 2.3421 ­ 2.3%
3%
5 sleep
xx
on higher layer
0.000 5.2518
E01 0.525
0.8
yy
on higher layer
0.000 6.8948
E01 0.689
0.8
xy
on higher layer
0.000 7.3051
E01 0.731
0.8
xz
on higher layer
0.000 0.000 0.000 0.01
background image
Code_Aster
®
Version
6.0
Titrate:
SSLS118 - Square plate subjected to a sinusoidal pressure
Date:
16/11/01
Author (S):
P. MASSIN, NR. RAHNI
Key
:
V3.03.118-A
Page:
49/62
Manual of Validation
V3.03 booklet: Linear statics of the plates and hulls
HI-75/01/010/A
yz
on higher layer
0.000 0.000 0.000 0.01

Evolution of the stresses in the plate
Not O
xx
yy
xy
xz
yz
Lower Couche1
18.8724 18.8969
­ 2.61426
E04
0
0
Higher Couche1
11.3234 11.3381
­ 1.56856
E04 ­ 1.80063 E01
1.92951 E01
Lower Couche2
11.3234 11.3381
­ 1.56856
E04 ­ 1.80063 E01
1.92951 E01
Higher Couche2
3.77447 3.77937
­ 5.22853
E05 ­ 2.70094 E01
2.89426 E01
Lower Couche3
3.77447 3.77937
­ 5.22853
E05 ­ 2.70094 E01
2.89426 E01
Average Couche3
6.54766 E16
6.55617 E16 ­ 9.07005 E21 ­ 2.81348 E01
3.01485 E01
Higher Couche3
­ 3.77447 ­ 3.77937
5.22853
E05
­ 2.70094 E01
2.89426 E01
Lower Couche4
­ 3.77447 ­ 3.77937
5.22853
E05
­ 2.70094 E01
2.89426 E01
Higher Couche4
­ 11.3234 ­ 11.3381
1.56856
E04
­ 1.80063 E01
1.92951 E01
Lower Couche5
­ 11.3234 ­ 11.3381
1.56856
E04
­ 1.80063 E01
1.92951 E01
Higher Couche5
­ 18.8724 ­ 18.8969
2.61426
E04
3.33183 E17
­ 3.57030 E17
Not B1
xx
yy
xy
xz
yz
Lower Couche1
­ 5.25182 E01 ­ 6.89486 E01
­ 7.30513 E01
0
0
Higher Couche1
­ 3.15109 E01 ­ 4.13691 E01
­ 4.38308 E01 ­ 3.13609 E02
­ 1.49899
Lower Couche2
­ 3.15109 E01 ­ 4.13691 E01
­ 4.38308 E01 ­ 3.13609 E02
­ 1.49899
Higher Couche2
­ 1.05036 E01 ­ 1.37897 E01
­ 1.46103 E01 ­ 4.70414 E02
­ 2.24848
Lower Couche3
­ 1.05036 E01 ­ 1.37897 E01
­ 1.46103 E01 ­ 4.70414 E02
­ 2.24848
Average Couche3
­ 1.82209 E17 ­ 2.39231 E17
­ 2.53448 E17 ­ 4.90014 E02
2.34217
Higher Couche3
1.05036 E01
1.37897 E01
1.46103 E01 ­ 4.70414 E02
­ 2.24848
Lower Couche4
1.05036 E01
1.37897 E01
1.46103 E01 ­ 4.70414 E02
­ 2.24848
Higher Couche4
3.15109 E01
4.13691 E01
4.38308 E01 ­ 3.13609 E02
­ 1.49899
Lower Couche5
3.15109 E01
4.13691 E01
4.38308 E01 ­ 3.13609 E02
­ 1.49899
Higher Couche5
5.25182 E01
6.89486 E01
7.30513 E01
5.80293 E18
2.77369 E16
24.2 Parameters
of execution
Version: 6.0.37
Machine: SGI - ORIGIN 2000
Overall dimension memory:
32 Mo
Time CPU To use:
seconds
background image
Code_Aster
®
Version
6.0
Titrate:
SSLS118 - Square plate subjected to a sinusoidal pressure
Date:
16/11/01
Author (S):
P. MASSIN, NR. RAHNI
Key
:
V3.03.118-A
Page:
50/62
Manual of Validation
V3.03 booklet: Linear statics of the plates and hulls
HI-75/01/010/A
25 Modeling
L
25.1 Characteristics of modeling
Isotropic multi-layer plate (5 layers in the thickness). Triangular element of hull
DST
.
The model of plate associated with modeling K is turned of 20 degrees according to the nautical angle
alpha and of 30 degrees according to beta. The classification of the meshs is identical to that of
modeling K.
Limiting conditions:
DDL_IMPO
(GROUP_NO: AB, DX: 0., DZ: 0., DRY:0.)
(GROUP_NO: BC, DY: 0., DZ: 0., DRX:0.)
(GROUP_NO: CD, DX: 0., DZ: 0., DRY:0.)
(GROUP_NO: DA, DY: 0., DZ: 0., DRX:0.)
(GROUP_NO: O, DX: 0., DY: 0., DRX:0., DRY:0., DRZ:0.)
FORCE_ARETE
(GROUP_NO: AB MY:0.)
(GROUP_NO: BC MX:0.)
(GROUP_NO: CD MY:0.)
(GROUP_NO: DA MX:0.)
background image
Code_Aster
®
Version
6.0
Titrate:
SSLS118 - Square plate subjected to a sinusoidal pressure
Date:
16/11/01
Author (S):
P. MASSIN, NR. RAHNI
Key
:
V3.03.118-A
Page:
51/62
Manual of Validation
V3.03 booklet: Linear statics of the plates and hulls
HI-75/01/010/A
Not O
Meshs: M132, M156, M134, M158
Not A
Net: M1
Not B
Net: M266
Not C
Net: M288
Not D
Net: M23
Not B1
Meshs: M122, M146
Not D1
Meshs: M14, M11
25.2 Characteristics
mesh
A number of nodes: 170
A number of meshs and type: 288 TRIA3

25.3 Functionalities
tested
Controls
AFFE_MODELE
“MECHANICAL”
“DST”
MODI_MAILLAGE ORIE_NORME_COQUE
AFFE_CARA_ELEM HULL
THICK
ANGLE_REP
DEFI_MATERIAU ELAS_ORTH
E_L
E_T
E_N
G_TN
G_LT
G_LN
NU_LT
DEFI_COQU_MULT SLEEP
FORMULATE
AFFE_CHAR_MECA FORCE_COQUE
NEAR
LIAISON_OBLIQUE
ANGLE_NAUT
GROUP_NO
FORCE_ARETE
MECA_STATIQUE
CREA_CHAMP
CALC_CHAM_ELEM SIGM_ELNO_DEPL
DEGE_ELNO_DEPL
background image
Code_Aster
®
Version
6.0
Titrate:
SSLS118 - Square plate subjected to a sinusoidal pressure
Date:
16/11/01
Author (S):
P. MASSIN, NR. RAHNI
Key
:
V3.03.118-A
Page:
52/62
Manual of Validation
V3.03 booklet: Linear statics of the plates and hulls
HI-75/01/010/A
26 Results of modeling L
26.1 Values
tested
Identification
Reference
Aster Difference
Tolerance
Not O
M134
Lay down 1
xx
on lower layer
18.990 18.872
­ 0.62% 1.0%
yy
on lower layer
18.990 18.896
­ 0.49% 1.0%
xy
on lower layer
0.000
­ 2.61 E04
­ 2.61 E04
0.01
xz
on lower layer
0.000 0.000 0.000
0.01
yz
on lower layer
0.000 0.000 0.000
0.01
3 sleep
xx
on layer medium
0.000 0.000 0.000
0.01
yy
on layer medium
0.000 0.000 0.000
0.01
xy
on layer medium
0.000 0.000 0.000
0.01
xz
on layer medium
0.000 ­ 2.8134
E01
­ 0.281
0.4
yz
on layer medium
0.000 3.0148
E01 0.301 0.4
5 sleep
xx
on higher layer
­ 18.990 ­ 18.872 ­ 0.62% 1%
yy
on higher layer
­ 18.990 ­ 18.896 ­ 0.49% 1%
xy
on higher layer
0.000
2.61 E04
2.61 E04
0.01
xz
on higher layer
0.000 0.000 0.000
0.01
yz
on higher layer
0.000 0.000 0.000
0.01
Displacement DZ
­ 1.1549
­ 1.1951 3.487%
4.1%
Not B1
M122
Lay down 1
xx
on lower layer
0.000 ­ 5.2518
E01
­ 0.525 0.8
yy
on lower layer
0.000 ­ 6.8948
E01
­ 0.689 0.8
xy
on lower layer
0.000 ­ 7.305
E01
­ 0.731
0.8
xz
on lower layer
0.000 0.000 0.000 0.01
yz
on lower layer
0.000 0.000 0.000 0.01
3 sleep
xx
on layer medium
0.000 0.000 0.000 0.01
yy
on layer medium
0.000 0.000 0.000 0.01
xy
on layer medium
0.000 0.000 0.000 0.01
xz
on layer medium
0.000 ­ 4.900
E02
­ 0.049
0.05
yz
on layer medium
­ 2.39732 ­ 2.3421 ­ 2.3%
3%
5 sleep
xx
on higher layer
0.000 5.2518
E01 0.525
0.8
yy
on higher layer
0.000 6.8948
E01 0.689
0.8
xy
on higher layer
0.000 7.3051
E01 0.731
0.8
xz
on higher layer
0.000 0.000 0.000 0.01
background image
Code_Aster
®
Version
6.0
Titrate:
SSLS118 - Square plate subjected to a sinusoidal pressure
Date:
16/11/01
Author (S):
P. MASSIN, NR. RAHNI
Key
:
V3.03.118-A
Page:
53/62
Manual of Validation
V3.03 booklet: Linear statics of the plates and hulls
HI-75/01/010/A
yz
on higher layer
0.000 0.000 0.000 0.01

Evolution of the stresses in the plate
Not O
xx
yy
xy
xz
yz
Lower Couche1
18.8724 18.8969
­ 2.61426
E04
0
0
Higher Couche1
11.3234 11.3381
­ 1.56856
E04 ­ 1.80063 E01
1.92951 E01
Lower Couche2
11.3234 11.3381
­ 1.56856
E04 ­ 1.80063 E01
1.92951 E01
Higher Couche2
3.77447 3.77937
­ 5.22853
E05 ­ 2.70094 E01
2.89426 E01
Lower Couche3
3.77447 3.77937
­ 5.22853
E05 ­ 2.70094 E01
2.89426 E01
Average Couche3
2.70652 E14 ­ 2.69295 E14
­ 1.22884 E13 ­ 2.81348 E01
3.01485 E01
Higher Couche3
­ 3.77447 ­ 3.77937
5.22853
E05
­ 2.70094 E01
2.89426 E01
Lower Couche4
­ 3.77447 ­ 3.77937
5.22853
E05
­ 2.70094 E01
2.89426 E01
Higher Couche4
­ 11.3234 ­ 11.3381
1.56856
E04
­ 1.80063 E01
1.92951 E01
Lower Couche5
­ 11.3234 ­ 11.3381
1.56856
E04
­ 1.80063 E01
1.92951 E01
Higher Couche5
­ 18.8724 ­ 18.8969
2.61426
E04
3.33183 E17
­ 3.57030 E17
Not B1
xx
yy
xy
xz
yz
Lower Couche1
­ 5.25182 E01 ­ 6.89486 E01
­ 7.30513 E01
0
0
Higher Couche1
­ 3.15109 E01 ­ 4.13691 E01
­ 4.38308 E01 ­ 3.13609 E02
­ 1.49899
Lower Couche2
­ 3.15109 E01 ­ 4.13691 E01
­ 4.38308 E01 ­ 3.13609 E02
­ 1.49899
Higher Couche2
­ 1.05036 E01 ­ 1.37897 E01
­ 1.46103 E01 ­ 4.70414 E02
­ 2.24848
Lower Couche3
­ 1.05036 E01 ­ 1.37897 E01
­ 1.46103 E01 ­ 4.70414 E02
­ 2.24848
Average Couche3
8.54411 E16 ­ 5.45131 E16
­ 2.48746 E14 ­ 4.90014 E02
­ 2.34217
Higher Couche3
1.05036 E01
1.37897 E01
1.46103 E01 ­ 4.70414 E02
­ 2.24848
Lower Couche4
1.05036 E01
1.37897 E01
1.46103 E01 ­ 4.70414 E02
­ 2.24848
Higher Couche4
3.15109 E01
4.13691 E01
4.38308 E01 ­ 3.13609 E02
­ 1.49899
Lower Couche5
3.15109 E01
4.13691 E01
4.38308 E01 ­ 3.13609 E02
­ 1.49899
Higher Couche5
5.25182 E01
6.89486 E01
7.30513 E01
5.80293 E18
2.77369 E16

26.2 Parameters
of execution
Version: 6.0.37
Machine: SGI - ORIGIN 2000
Overall dimension memory:
32 Mo
Time CPU To use:
26.17 seconds
background image
Code_Aster
®
Version
6.0
Titrate:
SSLS118 - Square plate subjected to a sinusoidal pressure
Date:
16/11/01
Author (S):
P. MASSIN, NR. RAHNI
Key
:
V3.03.118-A
Page:
54/62
Manual of Validation
V3.03 booklet: Linear statics of the plates and hulls
HI-75/01/010/A
27 Modeling
M
27.1 Characteristics of modeling
Isotropic multi-layer plate (5 layers in the thickness). Quadrangular element of hull
DSQ
.
The reference mark user is confused with the reference mark of orthotropism.
Limiting conditions:
DDL_IMPO
(GROUP_NO: AB, DX: 0., DZ: 0., DRY:0.)
(GROUP_NO: BC, DY: 0., DZ: 0., DRX:0.)
(GROUP_NO: CD, DX: 0., DZ: 0., DRY:0.)
(GROUP_NO: DA, DY: 0., DZ: 0., DRX:0.)
(GROUP_NO: O, DX: 0., DY: 0., DRX:0., DRY:0., DRZ:0.)
FORCE_ARETE
(GROUP_NO: AB MY:0.)
(GROUP_NO: BC MX:0.)
(GROUP_NO: CD MY:0.)
(GROUP_NO: DA MX:0.)
Not O
Meshs: M66, M67, M78, M79
Not A
Net: M1
Not B
Net: M12
Not C
Net: M144
Not D
Net: M133
Not B1
Meshs: M6, M7
Not D1
Meshs: M73, M61
background image
Code_Aster
®
Version
6.0
Titrate:
SSLS118 - Square plate subjected to a sinusoidal pressure
Date:
16/11/01
Author (S):
P. MASSIN, NR. RAHNI
Key
:
V3.03.118-A
Page:
55/62
Manual of Validation
V3.03 booklet: Linear statics of the plates and hulls
HI-75/01/010/A
27.2 Characteristics
mesh
A number of nodes: 171
A number of meshs and type: 144 QUAD4

27.3 Functionalities
tested
Controls
AFFE_MODELE
“MECHANICAL”
“DST”
MODI_MAILLAGE ORIE_NORME_COQUE
AFFE_CARA_ELEM HULL
THICK
ANGLE_REP
DEFI_MATERIAU ELAS_ORTH
E_L
E_T
E_N
G_TN
G_LT
G_LN
NU_LT
DEFI_COQU_MULT SLEEP
DEFI_COQU_MULT SLEEP
THICK
ORIENTATION
AFFE_CHAR_MECA FORCE_COQUE
NEAR
ALL
LIAISON_OBLIQUE
ANGLE_NAUT
GROUP_NO
MECA_STATIQUE
CALC_CHAM_ELEM SIGM_ELNO_DEPL
background image
Code_Aster
®
Version
6.0
Titrate:
SSLS118 - Square plate subjected to a sinusoidal pressure
Date:
16/11/01
Author (S):
P. MASSIN, NR. RAHNI
Key
:
V3.03.118-A
Page:
56/62
Manual of Validation
V3.03 booklet: Linear statics of the plates and hulls
HI-75/01/010/A
28 Results of modeling M
28.1 Values
tested
Identification
Reference
Aster Difference
Tolerance
Not O
M134
Lay down 1
xx
on lower layer
18.990 18.959
­ 0.158%
1.0%
yy
on lower layer
18.990 18.959
­ 0.158%
1.0%
xy
on lower layer
0.000 4.73E08 4.73E08
0.01
xz
on lower layer
0.000 0.000 0.000
0.01
yz
on lower layer
0.000 0.000 0.000
0.01
3 sleep
xx
on layer medium
0.000 0.000 0.000
0.01
yy
on layer medium
0.000 0.000 0.000
0.01
xy
on layer medium
0.000 0.000 0.000
0.01
xz
on layer medium
0.000 ­ 0.306
­ 0.306 0.31
yz
on layer medium
0.000 0.306 0.306
0.31
5 sleep
xx
on higher layer
­ 18.990 ­ 18.959 ­ 0.158% 1.0%
yy
on higher layer
­ 18.990 ­ 18.959 ­ 0.158% 1.0%
xy
on higher layer
0.000 ­ 4.73E08
­ 4.73E08
0.01
xz
on higher layer
0.000 0.000 0.000
0.01
yz
on higher layer
0.000 0.000 0.000
0.01
Displacement DZ
­ 1.1549
­ 1.2012 4.017%
4.1%
Not B1
M122
Lay down 1
xx
on lower layer
0.000 ­ 1.695E01 ­ 0.17 0.7
yy
on lower layer
0.000 ­ 6.933E01
­ 0.693 0.7
xy
on lower layer
0.000 ­ 7.316E01
­ 0.732 0.74
xz
on lower layer
0.000 0.000 0.000 0.01
yz
on lower layer
0.000 0.000 0.000 0.01
3 sleep
xx
on layer medium
0.000 0.000 0.000 0.01
yy
on layer medium
0.000 0.000 0.000 0.01
xy
on layer medium
0.000 0.000 0.000 0.01
xz
on layer medium
0.000 5.256E04
5.26E04 0.26
yz
on layer medium
­ 2.39732 ­ 2.32183 ­ 3.149% 3.2%
5 sleep
xx
on higher layer
0.000 1.695E01 0.17
0.7
yy
on higher layer
0.000 6.933E01 0.693
0.7
xy
on higher layer
0.000 7.316E01 0.732 0.74
xz
on higher layer
0.000 0.000 0.000 0.01
background image
Code_Aster
®
Version
6.0
Titrate:
SSLS118 - Square plate subjected to a sinusoidal pressure
Date:
16/11/01
Author (S):
P. MASSIN, NR. RAHNI
Key
:
V3.03.118-A
Page:
57/62
Manual of Validation
V3.03 booklet: Linear statics of the plates and hulls
HI-75/01/010/A
yz
on higher layer
0.000 0.000 0.000 0.01

Evolution of the stresses in the plate
Not O
xx
yy
xy
xz
yz
Lower Couche1
18.9599 18.9599
4.72681
E08 0
0
Higher Couche1
11.3760 11.3760
2.83603
E08
­ 1.95632 E01
1.95632 E01
Lower Couche2
11.3760 11.3760
2.83603
E08
­ 1.95632 E01
1.95632 E01
Higher Couche2
3.79199 3.79199
9.45342
E09
­ 2.93448 E01
2.93448 E01
Lower Couche3
3.79199 3.79199
9.45342
E09
­ 2.93448 E01
2.93448 E01
Average Couche3
6.57805 E16
6.57805 E16
1.63991 E24 ­ 3.05675 E01
3.05675 E01
Higher Couche3
­ 3.79199 ­ 3.79199
­ 9.45342
E09 ­ 2.93448 E01
2.93448 E01
Lower Couche4
­ 3.79199 ­ 3.79199
­ 9.45342
E09 ­ 2.93448 E01
2.93448 E01
Higher Couche4
­ 11.3760 ­ 11.3760
­ 2.83603
E08 ­ 1.95632 E01
1.95632 E01
Lower Couche5
­ 11.3760 ­ 11.3760
­ 2.83603
E08 ­ 1.95632 E01
1.95632 E01
Higher Couche5
­ 18.9599 ­ 18.9599
4.72681
E08
3.61992 E17
­ 3.61992 E17
Not B1
xx
yy
xy
xz
yz
Lower Couche1
­ 1.69553 E01 ­ 6.93351 E01
­ 7.31643 E01
0
0
Higher Couche1
­ 1.01732 E01 ­ 4.16010 E01
­ 4.38986 E01
3.36438 E04
­ 1.48597
Lower Couche2
­ 1.01732 E01 ­ 4.16010 E01
­ 4.38986 E01
3.36438 E04
­ 1.48597
Higher Couche2
­ 3.39106 E02 ­ 1.38670 E01
­ 1.46329 E01
5.04657 E04
­ 2.22896
Lower Couche3
­ 3.39106 E02 ­ 1.38670 E01
­ 1.46329 E01
5.04657 E04
­ 2.22896
Average Couche3
­ 5.88254 E18 ­ 2.40554 E17
­ 2.53840 E17
5.25684 E04
­ 2.32184
Higher Couche3
3.39106 E02
1.38670 E01
1.46329 E01
5.04657 E04
­ 2.22896
Lower Couche4
3.39106 E02
1.38670 E01
1.46329 E01
5.04657 E04
­ 2.22896
Higher Couche4
1.01732 E01
4.16010 E01
4.38986 E01
3.36438 E04
­ 1.48597
Lower Couche5
1.01732 E01
4.16010 E01
4.38986 E01
3.36438 E04
­ 1.48597
Higher Couche5
1.69553 E01
6.93351 E01
7.31643 E01 ­ 6.22535 E20
2.74961 E16

28.2 Parameters
of execution
Version: 6.0.37
Machine: SGI - ORIGIN 2000
Overall dimension memory:
32 Mo
Time CPU To use:
14.91 seconds
background image
Code_Aster
®
Version
6.0
Titrate:
SSLS118 - Square plate subjected to a sinusoidal pressure
Date:
16/11/01
Author (S):
P. MASSIN, NR. RAHNI
Key
:
V3.03.118-A
Page:
58/62
Manual of Validation
V3.03 booklet: Linear statics of the plates and hulls
HI-75/01/010/A
29 Modeling
NR
29.1 Characteristics of modeling
Isotropic multi-layer plate (5 layers in the thickness). Quadrangular element of hull
DSQ.
The model of plate associated with modeling M is turned of 20 degrees according to the nautical angle
alpha and of 30 degrees according to beta. The classification of the meshs is identical to that of
modeling Mr.
Limiting conditions:
DDL_IMPO
(GROUP_NO: AB, DX: 0., DZ: 0., DRY:0.)
(GROUP_NO: BC, DY: 0., DZ: 0., DRX:0.)
(GROUP_NO: CD, DX: 0., DZ: 0., DRY:0.)
(GROUP_NO: DA, DY: 0., DZ: 0., DRX:0.)
(GROUP_NO: O, DX: 0., DY: 0., DRX:0., DRY:0., DRZ:0.)
FORCE_ARETE
(GROUP_NO: AB MY:0.)
(GROUP_NO: BC MX:0.)
(GROUP_NO: CD MY:0.)
(GROUP_NO: DA MX:0.)
background image
Code_Aster
®
Version
6.0
Titrate:
SSLS118 - Square plate subjected to a sinusoidal pressure
Date:
16/11/01
Author (S):
P. MASSIN, NR. RAHNI
Key
:
V3.03.118-A
Page:
59/62
Manual of Validation
V3.03 booklet: Linear statics of the plates and hulls
HI-75/01/010/A
Not O
Meshs: M66, M67, M78, M79
Not A
Net: M1
Not B
Net: M12
Not C
Net: M144
Not D
Net: M133
Not B1
Meshs: M6, M7
Not D1
Meshs: M73, M61
29.2 Characteristics
mesh
A number of nodes: 171
A number of meshs and type: 144 QUAD4
29.3 Functionalities
tested
Controls
AFFE_MODELE
“MECHANICAL”
“DST”
MODI_MAILLAGE ORIE_NORME_COQUE
AFFE_CARA_ELEM HULL
THICK
ANGLE_REP
DEFI_MATERIAU ELAS_ORTH
E_L
E_T
E_N
G_TN
G_LT
G_LN
NU_LT
DEFI_COQU_MULT SLEEP
FORMULATE
AFFE_CHAR_MECA FORCE_COQUE
NEAR
LIAISON_OBLIQUE
ANGLE_NAUT
GROUP_NO
FORCE_ARETE
MECA_STATIQUE
CREA_CHAMP
CALC_CHAM_ELEM SIGM_ELNO_DEPL
DEGE_ELNO_DEPL
background image
Code_Aster
®
Version
6.0
Titrate:
SSLS118 - Square plate subjected to a sinusoidal pressure
Date:
16/11/01
Author (S):
P. MASSIN, NR. RAHNI
Key
:
V3.03.118-A
Page:
60/62
Manual of Validation
V3.03 booklet: Linear statics of the plates and hulls
HI-75/01/010/A
30 Results of modeling NR
30.1 Values
tested
Identification
Reference
Aster Difference
Tolerance
Not O
M134
Lay down 1
xx
on lower layer
18.990 18.959
­ 0.158%
1.0%
yy
on lower layer
18.990 18.959
­ 0.158%
1.0%
xy
on lower layer
0.000 0.000 0.000
0.01
xz
on lower layer
0.000 0.000 0.000
0.01
yz
on lower layer
0.000 0.000 0.000
0.01
3 sleep
xx
on layer medium
0.000 0.000 0.000
0.01
yy
on layer medium
0.000 0.000 0.000
0.01
xy
on layer medium
0.000 0.000 0.000
0.01
xz
on layer medium
0.000 ­ 0.306
­ 0.306 0.31
yz
on layer medium
0.000 0.306 0.306
0.31
5 sleep
xx
on higher layer
­ 18.990 ­ 18.959 ­ 0.158% 1.0%
yy
on higher layer
­ 18.990 ­ 18.959 ­ 0.158% 1.0%
xy
on higher layer
0.000 0.000 0.000
0.01
xz
on higher layer
0.000 0.000 0.000
0.01
yz
on higher layer
0.000 0.000 0.000
0.01
Displacement DZ
­ 1.1549
­ 1.2012 4.017%
4.1%
Not B1
M122
Lay down 1
xx
on lower layer
0.000 ­ 1.695E01 ­ 0.17 0.7
yy
on lower layer
0.000 ­ 6.933E01
­ 0.693 0.7
xy
on lower layer
0.000 ­ 7.316E01
­ 0.732 0.74
xz
on lower layer
0.000 0.000 0.000 0.01
yz
on lower layer
0.000 0.000 0.000 0.01
3 sleep
xx
on layer medium
0.000 0.000 0.000 0.01
yy
on layer medium
0.000 0.000 0.000 0.01
xy
on layer medium
0.000 0.000 0.000 0.01
xz
on layer medium
0.000 5.256E04
5.26E04 0.26
yz
on layer medium
­ 2.39732 ­ 2.32183 ­ 3.149% 3.2%
5 sleep
xx
on higher layer
0.000 1.695E01 0.17
0.3
yy
on higher layer
0.000 6.933E01 0.693
0.8
xy
on higher layer
0.000 7.316E01 0.732
0.8
xz
on higher layer
0.000 0.000 0.000 0.01
background image
Code_Aster
®
Version
6.0
Titrate:
SSLS118 - Square plate subjected to a sinusoidal pressure
Date:
16/11/01
Author (S):
P. MASSIN, NR. RAHNI
Key
:
V3.03.118-A
Page:
61/62
Manual of Validation
V3.03 booklet: Linear statics of the plates and hulls
HI-75/01/010/A
yz
on higher layer
0.000 0.000 0.000 0.01

Evolution of the stresses in the plate
Not O
xx
yy
xy
xz
yz
Lower Couche1
18.9599 18.9599
­ 2.21998
E13
0
0
Higher Couche1
11.3760 11.3760
­ 1.64964
E13 ­ 1.95632 E01
1.95632 E01
Lower Couche2
11.3760 11.3760
­ 1.64964
E13 ­ 1.95632 E01
1.95632 E01
Higher Couche2
3.79199 3.79199
­ 1.07931
E13 ­ 2.93448 E01
2.93448 E01
Lower Couche3
3.79199 3.79199
­ 1.07931
E13 ­ 2.93448 E01
2.93448 E01
Average Couche3
1.26875 E13
1.05848 E13 ­ 7.94143 E14 ­ 3.05675 E01
3.05675 E01
Higher Couche3
­ 3.79199 ­ 3.79199
­ 5.08976
E14 ­ 2.93448 E01
2.93448 E01
Lower Couche4
­ 3.79199 ­ 3.79199
­ 5.08976
E14 ­ 2.93448 E01
2.93448 E01
Higher Couche4
­ 11.3760 ­ 11.3760
6.13577
E15
­ 1.95632 E01
1.95632 E01
Lower Couche5
­ 11.3760 ­ 11.3760
6.13577
E15
­ 1.95632 E01
1.95632 E01
Higher Couche5
­ 18.9599 ­ 18.9599
6.31692
E14
3.61992 E17
­ 3.61992 E17
Not B1
xx
yy
xy
xz
yz
Lower Couche1
­ 1.69553 E01 ­ 6.93351 E01
­ 7.31643 E01
0
0
Higher Couche1
­ 1.01732 E01 ­ 4.16010 E01
­ 4.38986 E01
3.36437 E04
­ 1.48597
Lower Couche2
­ 1.01732 E01 ­ 4.16010 E01
­ 4.38986 E01
3.36437 E04
­ 1.48597
Higher Couche2
­ 3.39106 E02 ­ 1.38670 E01
­ 1.46329 E01
5.04656 E04
­ 2.22896
Lower Couche3
­ 3.39106 E02 ­ 1.38670 E01
­ 1.46329 E01
5.04656 E04
­ 2.22896
Average Couche3
­ 4.87415 E15 ­ 4.93108 E14
3.39767 E15
5.25683 E04
­ 2.32184
Higher Couche3
3.39106 E02
1.38670 E01
1.46329 E01
5.04656 E04
­ 2.22896
Lower Couche4
3.39106 E02
1.38670 E01
1.46329 E01
5.04656 E04
­ 2.22896
Higher Couche4
1.01732 E01
4.16010 E01
4.38986 E01
3.36437 E04
­ 1.48597
Lower Couche5
1.01732 E01
4.16010 E01
4.38986 E01
3.36437 E04
­ 1.48597
Higher Couche5
1.69553 E01
6.93351 E01
7.31643 E01 ­ 6.22534 E20
2.74961 E16

30.2 Parameters
of execution
Version: 6.0.37
Machine: SGI - ORIGIN 2000
Overall dimension memory:
32 Mo
Time CPU To use:
15.32 seconds
background image
Code_Aster
®
Version
6.0
Titrate:
SSLS118 - Square plate subjected to a sinusoidal pressure
Date:
16/11/01
Author (S):
P. MASSIN, NR. RAHNI
Key
:
V3.03.118-A
Page:
62/62
Manual of Validation
V3.03 booklet: Linear statics of the plates and hulls
HI-75/01/010/A
31 Summary of the results
The results obtained show that:
·
modeling DSQ provides a more precise estimate of the stresses and efforts
edges (<5%) that modeling DKQ (=20%). The estimate of the moments is
equivalent for two modelings,
·
the estimate of the stresses is more precise with modeling DKT (<2%)
compared to modeling DST (<3,5%). The shearing action is on the other hand better
estimated by DST (<10% for DST and <20% for DKT),
·
for the configurations COQUE_3D triangle or quadrangle, the estimate of the stress of
transverse shearing is constant in the thickness of the plate, in accordance with
assumptions of modeling,
­
results expressed in the reference mark user for the DST configurations and
COQUE_3D is identical to those expressed in the total reference mark,
­
the refinement of the mesh for configuration DSQ improves the estimate of
stresses, of the sharp efforts and the moments; the tendency is reversed in what
relate to displacement,
­
the multi-layer configuration makes it possible to visualize the distribution of the plane stresses and
of transverse shearing in the thickness of the plate, and to confirm the theory, with
to know a linear for the plane stresses and parabolic distribution for
shear stresses; in addition, the rotation of the reference mark does not influence the values
stresses,
­
in a general way, with the nodes where one awaits stresses or efforts
analytically null, the numerical results obtained are not correct owing to the fact that
the estimates are made mesh by mesh then extrapolated with the nodes. Even them
values realized with the nodes in question are not inevitably null.