Code_Aster
®
Version
4.0
Titrate:
Cylindrical SSLS104 Hull pinch with diaphgrame
Date:
01/12/98
Author (S):
P. MASSIN, A. LAULUSA
Key:
V3.03.104-C
Page:
1/10
Manual of Validation
V3.03 booklet: Linear statics of the hulls and the plates
HI-75/98/040 - Ind A
Organization (S):
EDF/IMA/MN, SAMTECH
Manual of Validation
V3.03 booklet: Linear statics of the hulls and the plates
Document: V3.03.104
SSLS104 - Cylindrical hull pinch
with diaphragm
Summary:
One treats in linear elasticity the case of a cylinder formed by two circular funds at the two ends and gripped
with mid- length.
This makes it possible to treat the modes of deformation inextensionnels and a complex membrane behavior
had with the diaphragms.
The value tested is the arrow at the point of application of the force.
Three modelings:
DKT
,
COQUE_3D
QUAD9 and
COQUE_3D
TRIA7.
Code_Aster
®
Version
4.0
Titrate:
Cylindrical SSLS104 Hull pinch with diaphgrame
Date:
01/12/98
Author (S):
P. MASSIN, A. LAULUSA
Key:
V3.03.104-C
Page:
2/10
Manual of Validation
V3.03 booklet: Linear statics of the hulls and the plates
HI-75/98/040 - Ind A
1
Problem of reference
1.1 Geometry
With
D
C
B
L
y
X
Z
R
F
eighth of cylinder
With
B
F
C
D
L
F
Length
L = 600
Radius
R = 300
Thickness
T = 3
Co-ordinates of the points:
With
B
C
D
X
300.
0.
0.
300.
y
0.
300.
300.
0.
Z
0.
0.
300.
300.
1.2
Material properties
E = 3. 10
6
AP
= 0.3
A_CIS = 0.8333
1.3
Boundary conditions and loadings
Rigid diaphragm at each end:
U = v = 0,
Z
= 0
Specific force out of C:
F = 1. NR
Code_Aster
®
Version
4.0
Titrate:
Cylindrical SSLS104 Hull pinch with diaphgrame
Date:
01/12/98
Author (S):
P. MASSIN, A. LAULUSA
Key:
V3.03.104-C
Page:
3/10
Manual of Validation
V3.03 booklet: Linear statics of the hulls and the plates
HI-75/98/040 - Ind A
2
Reference solution
2.1
Method of calculation used for the reference solution
The parameters of the dealt with problem and the results of reference are explicitly given in
publication quoted below.
2.2
Results of reference
Displacement of the point C following Y.
2.3 References
bibliographical
[1]
Thomas J.R HUGHES, Ted BELYTSCHKO. Race notes for Recent advances in nonlinear
finite element analysis. Volume III - p 238 and 239 (1990).
Code_Aster
®
Version
4.0
Titrate:
Cylindrical SSLS104 Hull pinch with diaphgrame
Date:
01/12/98
Author (S):
P. MASSIN, A. LAULUSA
Key:
V3.03.104-C
Page:
4/10
Manual of Validation
V3.03 booklet: Linear statics of the hulls and the plates
HI-75/98/040 - Ind A
3 Modeling
With
3.1
Characteristics of modeling
Element of hull DKT
With
B
D
C
y
X
Z
Modeling of a eighth of plate
Cutting:
10 on AD and BC
16 on AB and cd.
364 meshs TRIA3
Limiting conditions:
in all the nodes of:
DDL_IMPO:
arc (AB)
(GROUP_NO: AB DX: 0., DY: 0. , DRZ: 0. )
arc (CD)
(GROUP_NO: CD DZ: 0., DRX: 0. , DRY: 0. )
segment) BC (
(GROUP_NO: BCsansBC DX: 0., DRY: 0., DRZ: 0. )
segment) AD (
(GROUP_NO: ADsansAD DY: 0., DRX: 0., DRZ: 0. )
out of C
(GROUP_NO: C DX: 0., DRZ: 0. )
in D
(GROUP_NO: D DY: 0., DRZ: 0. )
Loading:
with the node C:
(GROUP_NO: C FY: - 0.25)
Names of the nodes:
Not A
N04
Not B
N02
Not C
N01
Not D
N03
3.2
Characteristics of the mesh
A number of nodes: 209
A number of meshs and types: 364 TRIA3
3.3 Functionalities
tested
Controls
Keys
AFFE_CARA_ELEM
HULL
ALL
[U4.24.01]
AFFE_CHAR_MECA
DDL_IMPO
FORCE_NODALE
GROUP_NO
GROUP_NO
[U4.25.01]
AFFE_MODELE
“MECHANICAL”
“DKT”
ALL
[U4.22.01]
DEFI_MATERIAU
ELAS
[U4.23.01]
Code_Aster
®
Version
4.0
Titrate:
Cylindrical SSLS104 Hull pinch with diaphgrame
Date:
01/12/98
Author (S):
P. MASSIN, A. LAULUSA
Key:
V3.03.104-C
Page:
5/10
Manual of Validation
V3.03 booklet: Linear statics of the hulls and the plates
HI-75/98/040 - Ind A
4
Results of modeling A
4.1 Values
tested
Identification
Reference
Aster
% difference
tolerance
Not C
displacement v
1.8248 10
5
1.8776 10
5
2.89
3.10
2
With 1.366 nodes: 1.8511 F out of C.
4.2 Parameters
of execution
Version: 4.00.02
Machine: CRAY C90
System:
UNICOS 8.0
Overall dimension memory:
16 megawords
Time CPU To use:
5.5 seconds
Code_Aster
®
Version
4.0
Titrate:
Cylindrical SSLS104 Hull pinch with diaphgrame
Date:
01/12/98
Author (S):
P. MASSIN, A. LAULUSA
Key:
V3.03.104-C
Page:
6/10
Manual of Validation
V3.03 booklet: Linear statics of the hulls and the plates
HI-75/98/040 - Ind A
5 Modeling
B
5.1
Characteristics of modeling
Element of hull 3D MEC3QU9H
With
B
D
C
y
X
Z
Modeling of a eighth of plate
Cutting:
4 on AD and BC
8 on AB and cd.
32 meshs QUAD9
Limiting conditions:
in all the nodes of:
DDL_IMPO:
arc (AB)
(GROUP_NO: AB DX: 0., DY: 0. , DRZ: 0. )
arc (CD)
(GROUP_NO: CD DZ: 0., DRX: 0. , DRY: 0. )
segment) BC (
(GROUP_NO: BCsansBC DX: 0., DRY: 0., DRZ: 0. )
segment) AD (
(GROUP_NO: ADsansAD DY: 0., DRX: 0., DRZ: 0. )
out of C
(GROUP_NO: C DX: 0., DRZ: 0. )
in D
(GROUP_NO: D DY: 0., DRZ: 0. )
Loading:
with the node C:
(GROUP_NO: C FY: - 0.25)
Names of the nodes:
Not A
N01
Not B
N02
Not C
N03
Not D
N04
5.2
Characteristics of the mesh
A number of nodes: 121
A number of meshs and types: 32 QUAD9
5.3 Functionalities
tested
Controls
Keys
AFFE_CARA_ELEM
HULL
ALL
[U4.24.01]
AFFE_CHAR_MECA
DDL_IMPO
FORCE_NODALE
GROUP_NO
GROUP_NO
[U4.25.01]
AFFE_MATERIAU
ALL
[U4.23.02]
AFFE_MODELE
“MECHANICAL”
“COQUE_3D”
ALL
[U4.22.01]
DEFI_MATERIAU
ELAS
[U4.23.01]
Code_Aster
®
Version
4.0
Titrate:
Cylindrical SSLS104 Hull pinch with diaphgrame
Date:
01/12/98
Author (S):
P. MASSIN, A. LAULUSA
Key:
V3.03.104-C
Page:
7/10
Manual of Validation
V3.03 booklet: Linear statics of the hulls and the plates
HI-75/98/040 - Ind A
6
Results of modeling B
6.1 Values
tested
Identification
Reference
Aster
% difference
tolerance
Not C
displacement v
1.8248 10
5
1.7806 10
5
2.42
3.10
2
6.2 Remarks
For a mesh of 60 meshs QUAD9 and 213 nodes (corresponding to cutting 6 on AD and BC and
10 on AB and cd.), displacement v at the point C is worth 1.8011 10
5
.
6.3 Parameters
of execution
Version: 4.00.14
Machine: CRAY C90
System:
UNICOS 8.0
Overall dimension memory:
16 megawords
Time CPU To use:
6.52 seconds
Code_Aster
®
Version
4.0
Titrate:
Cylindrical SSLS104 Hull pinch with diaphgrame
Date:
01/12/98
Author (S):
P. MASSIN, A. LAULUSA
Key:
V3.03.104-C
Page:
8/10
Manual of Validation
V3.03 booklet: Linear statics of the hulls and the plates
HI-75/98/040 - Ind A
7 Modeling
C
7.1
Characteristics of modeling
Element of hull MEC3TR7H
With
B
D
C
y
X
Z
Modeling of a eighth of plate
Cutting:
10 on AD and BC
18 on AB and cd.
360 meshs TRIA7
Limiting conditions:
in all the nodes of:
DDL_IMPO:
arc (AB)
(GROUP_NO: AB DX: 0., DY: 0. , DRZ: 0. )
arc (CD)
(GROUP_NO: CD DZ: 0., DRX: 0. , DRY: 0. )
segment) BC (
(GROUP_NO: BCsansBC DX: 0., DRY: 0., DRZ: 0. )
segment) AD (
(GROUP_NO: ADsansAD DY: 0., DRX: 0., DRZ: 0. )
out of C
(GROUP_NO: C DX: 0., DRZ: 0. )
in D
(GROUP_NO: D DY: 0., DRZ: 0. )
Loading:
with the node C:
(GROUP_NO: C FY: - 0.25)
Names of the nodes:
Not A
N01
Not B
N02
Not C
N03
Not D
N04
7.2
Characteristics of the mesh
A number of nodes: 777
A number of meshs and types: 360 TRIA7
7.3 Functionalities
tested
Controls
Keys
AFFE_CARA_ELEM
HULL
ALL
[U4.24.01]
AFFE_CHAR_MECA
DDL_IMPO
FORCE_NODALE
GROUP_NO
GROUP_NO
[U4.25.01]
AFFE_MATERIAU
ALL
[U4.23.02]
AFFE_MODELE
“MECHANICAL”
“COQUE_3D”
ALL
[U4.22.01]
DEFI_MATERIAU
ELAS
[U4.23.01]
Code_Aster
®
Version
4.0
Titrate:
Cylindrical SSLS104 Hull pinch with diaphgrame
Date:
01/12/98
Author (S):
P. MASSIN, A. LAULUSA
Key:
V3.03.104-C
Page:
9/10
Manual of Validation
V3.03 booklet: Linear statics of the hulls and the plates
HI-75/98/040 - Ind A
8
Results of modeling C
8.1 Values
tested
Identification
Reference
Aster
% difference
tolerance
Not C
displacement v
1.8248 10
5
1.7424 10
5
4.51
5. 10
2
8.2 Remarks
For a mesh with 500 meshs TRIA7 and 1071 nodes (cutting 10 on AD and BC, 25 on AB and
Cd.), one obtains a displacement v at the point C of 1.7723 10
5
. The relative error on displacement v in
C is then 2.88%. The results with this element for light mesh is thus not very good
and improves relatively little with an increase of the number of meshs.
8.3 Parameters
of execution
Version: 4.00.14
Machine: CRAY C90
System:
UNICOS 8.0
Overall dimension memory:
16 megawords
Time CPU To use:
89.25 seconds
Code_Aster
®
Version
4.0
Titrate:
Cylindrical SSLS104 Hull pinch with diaphgrame
Date:
01/12/98
Author (S):
P. MASSIN, A. LAULUSA
Key:
V3.03.104-C
Page:
10/10
Manual of Validation
V3.03 booklet: Linear statics of the hulls and the plates
HI-75/98/040 - Ind A
9
Summary of the results
With regard to the elements:
DKT:
The result is better with a finer mesh (1366 nodes) which leads to an error < 1.5%.
MEC3QU9H:
The result is acceptable with relatively few elements (compared with DKT). While increasing
appreciably the number of elements (60 instead of 32), the error is < 1.3%.
MEC3TR7H:
Result little satisfying even with a fine mesh leading to a great total number of
nodes for MEC3TR7H (777 for MEC3TR7H to be compared with 209 for DKT and 121 for
MEC3QU9H). To arrive at an error lower than 2.9%, that requires a very great number of
nodes (1071). It seems recognized that this element is worse than MEC3QU9H.