Code_Aster
®
Version
4.0
Titrate:
Cylindrical SSLS107 Panel subjected to its own weight
Date:
05/10/98
Author (S):
P. MASSIN, A. LAULUSA
Key
:
V3.03.107-A
Page:
1/8
Manual of Validation
V3.03 booklet: Linear statics of the hulls and the plates
HI-75/01/010/A
Organization (S):
EDF/IMA/MN, SAMTECH
Manual of Validation
V3.03 booklet: Linear statics of the hulls and the plates
Document: V3.03.107
SSLS107 - Subjected cylindrical panel
with its own weight
Summary:
This test makes it possible to validate two finite elements of thick hull in linear elasticity. Modeling A tests it
quadrangle, modeling B tests the triangle associated with the formulation. This problem of cylindrical panel
under actual weight is a conventional test of hull.
The results of reference are analytical solutions.
One will note the good results obtained with the quadrangle and the results much worse obtained with
triangle.
Code_Aster
®
Version
4.0
Titrate:
Cylindrical SSLS107 Panel subjected to its own weight
Date:
05/10/98
Author (S):
P. MASSIN, A. LAULUSA
Key
:
V3.03.107-A
Page:
2/8
Manual of Validation
V3.03 booklet: Linear statics of the hulls and the plates
HI-75/01/010/A
1
Problem of reference
1.1 Geometry
Libr
E
With
D
y
X
Z
R
Length
Radius
Thickness
Angular section
L = 6. m
R = 3. m
T = 0.03 m
= 40°
C
L
B
Co-ordinates of the points:
WITH B C D
X
3. cos 40°
3. cos 40°
3.
3.
y
3. sin 40°
3. sin 40°
0.
0.
Z 3.
0.
0.
3.
1.2
Material properties
E = 3. 10
10
AP
= 0.
= 2.0833 10
4
kg/m
3
1.3
Boundary conditions and loadings
Rigid diaphragm at each end: U = v = 0,
Z
= 0.
Loading 1: Force due to gravity G = 10 m/s
2
Loading 2: Force hull charges distributed vertical F
X
= 6250.N
Two loadings leading to the same solution are tested.
Code_Aster
®
Version
4.0
Titrate:
Cylindrical SSLS107 Panel subjected to its own weight
Date:
05/10/98
Author (S):
P. MASSIN, A. LAULUSA
Key
:
V3.03.107-A
Page:
3/8
Manual of Validation
V3.03 booklet: Linear statics of the hulls and the plates
HI-75/01/010/A
2
Reference solution
2.1
Method of calculation used for the reference solution
The parameters of the problem and the results of reference (analytical solutions) are given by
BATOZ and DHATT [bib1].
2.2
Results of reference
Displacement of the point B following X
Displacement of the point C following X.
2.3 References
bibliographical
[1]
BATOZ J.L., DHATT G.: Modeling of the structures by finite elements. Volume 3 hulls,
p445-448 (1992).
Code_Aster
®
Version
4.0
Titrate:
Cylindrical SSLS107 Panel subjected to its own weight
Date:
05/10/98
Author (S):
P. MASSIN, A. LAULUSA
Key
:
V3.03.107-A
Page:
4/8
Manual of Validation
V3.03 booklet: Linear statics of the hulls and the plates
HI-75/01/010/A
3 Modeling
With
3.1
Characteristics of modeling
Element of
COQUE_3D
MEC3QU9H
With
B
D
C
y
X
Z
Modeling of a quarter of cylinder
Cutting:
6 on AB and cd.
6 on AD and BC
36 meshs QUAD9
Limiting conditions:
in all the nodes of:
DDL_IMPO:
arc (AD)
(GROUP_NO: AD DX: 0., DY: 0. , DRZ: 0. )
segment] CD [
(GROUP_NO: CDsansCD DY: 0., DRY: 0., DRZ: 0. )
arc (BC)
(GROUP_NO: BC DX: 0., DRX: 0. , DRY: 0. )
out of C
(GROUP_NO: C DY: 0., DRZ: 0. )
Loading:
FORCE_COQUE
:
(FX: - 6250.)
GRAVITY
:
(10. - 1. 0. 0.)
Names of the nodes:
Not A
N03
Not B
N02
Not C
N01
Not D
N04
3.2
Characteristics of the mesh
A number of nodes: 169
A number of meshs and types: 36 QUAD9
3.3 Functionalities
tested
Controls
Keys
AFFE_MODELE AFFE
MODELING
:
“COQUE_3D”
[U4.22.01]
AFFE_CARA_ELEM HULL
ALL
[U4.24.01]
AFFE_CHAR_MECA DDL_IMPO
FORCE_COQUE
GRAVITY
GROUP_NO
FX
[U4.25.01]
DEFI_MATERIAU
ELAS
E, NAKED, RHO
[U4.23.01]
Code_Aster
®
Version
4.0
Titrate:
Cylindrical SSLS107 Panel subjected to its own weight
Date:
05/10/98
Author (S):
P. MASSIN, A. LAULUSA
Key
:
V3.03.107-A
Page:
5/8
Manual of Validation
V3.03 booklet: Linear statics of the hulls and the plates
HI-75/01/010/A
4
Results of modeling A
4.1 Values
tested
Identification Reference Aster %
difference
Not B
displacement DX
3.61 10
2
3.619
10
2
0.25
Not C
displacement DX
5.44 10
3
5.427
10
3
0.31
4.2 Parameters
of execution
Version: 4.00.14
Machine: CRAY
System:
UNICOS 8.0
Overall dimension memory:
16 megawords
Time CPU To use: 7.34 seconds
Code_Aster
®
Version
4.0
Titrate:
Cylindrical SSLS107 Panel subjected to its own weight
Date:
05/10/98
Author (S):
P. MASSIN, A. LAULUSA
Key
:
V3.03.107-A
Page:
6/8
Manual of Validation
V3.03 booklet: Linear statics of the hulls and the plates
HI-75/01/010/A
5 Modeling
B
5.1
Characteristics of modeling
Element of hull 3D MEC3TR7H
With
B
D
C
y
X
Z
Modeling of a quarter of cylinder
Cutting:
12 on AB and cd.
12 on AD and BC
288 meshs TRIA7
Limiting conditions:
in all the nodes of:
DDL_IMPO:
arc (AD)
(GROUP_NO: AD DX: 0., DY: 0. , DRZ: 0. )
segment) CD (
(GROUP_NO: CDsansCD DY: 0., DRY: 0., DRZ: 0. )
arc (BC)
(GROUP_NO: BC DX: 0., DRX: 0. , DRY: 0. )
out of C
(GROUP_NO: C DY: 0., DRZ: 0. )
The mesh is of directed type:
Loading:
FORCE_COQUE
:
(FX: - 6250.)
GRAVITY
:
(10. - 1. 0. 0.)
Names of the nodes:
Not A
N03
Not B
N02
Not C
N01
Not D
N04
5.2
Characteristics of the mesh
A number of nodes: 913
A number of meshs and types: 288 TRIA7
5.3 Functionalities
tested
Controls
Keys
AFFE_MODELE AFFE
MODELING
:
“COQUE_3D”
[U4.22.01]
AFFE_CARA_ELEM HULL
ALL
[U4.24.01]
AFFE_CHAR_MECA DDL_IMPO
FORCE_COQUE
GRAVITY
GROUP_NO
FX
[U4.25.01]
DEFI_MATERIAU
ELAS
E, NAKED, RHO
[U4.23.01]
Code_Aster
®
Version
4.0
Titrate:
Cylindrical SSLS107 Panel subjected to its own weight
Date:
05/10/98
Author (S):
P. MASSIN, A. LAULUSA
Key
:
V3.03.107-A
Page:
7/8
Manual of Validation
V3.03 booklet: Linear statics of the hulls and the plates
HI-75/01/010/A
6
Results of modeling B
6.1 Values
tested
Identification Reference
Aster %
difference
Not B
displacement DX
3.61 10
2
3.603
10
2
0.19
Not C
displacement DX
5.41 10
3
5.396
10
3
0.26
6.2 Parameters
of execution
Version: 4.00.14
Machine: CRAY
System:
UNICOS 8.0
Overall dimension memory:
16 megawords
Time CPU To use: 54.54 seconds
Code_Aster
®
Version
4.0
Titrate:
Cylindrical SSLS107 Panel subjected to its own weight
Date:
05/10/98
Author (S):
P. MASSIN, A. LAULUSA
Key
:
V3.03.107-A
Page:
8/8
Manual of Validation
V3.03 booklet: Linear statics of the hulls and the plates
HI-75/01/010/A
7
Summary of the results
Element MEC3QU9H makes it possible to obtain a good solution with a coarse mesh, while
element MEC3TR7H requires a very fine mesh to reach a satisfactory precision.
It is noted that the reference solution is the analytical solution obtained starting from the theory of
“deep” hulls. The 2 elements of hull converge towards this solution and not towards the theory
“not very deep” hulls.