Code_Aster ®
Version
4.0
Titrate:
Cylindrical SSLS107 Panneau subjected to its own weight
Date:
05/10/98
Author (S):
P. Key MASSIN, A. LAULUSA
:
V3.03.107-A Page:
1/8
Organization (S): EDF/IMA/MN, SAMTECH
Handbook of Validation
V3.03 booklet: Linear statics of the hulls and the plates
Document: V3.03.107
SSLS107 - Subjected cylindrical Panneau
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 traditional 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.
Handbook of Validation
V3.03 booklet: Linear statics of the hulls and the plates
HI-75/01/010/A
Code_Aster ®
Version
4.0
Titrate:
Cylindrical SSLS107 Panneau subjected to its own weight
Date:
05/10/98
Author (S):
P. Key MASSIN, A. LAULUSA
:
V3.03.107-A Page:
2/8
1
Problem of reference
1.1 Geometry
Z
D
With
C
Free
X
y
B
L
R
Length
L = 6. m
Radius
R = 3. m
Thickness
T = 0.03 m
Angular section = 40°
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. 1010 Pa
= 0.
= 2.0833 104 kg/m3
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/s2
Loading 2: Force hull charges distributed vertical Fx = 6250.N
Two loadings leading to the same solution are tested.
Handbook of Validation
V3.03 booklet: Linear statics of the hulls and the plates
HI-75/01/010/A
Code_Aster ®
Version
4.0
Titrate:
Cylindrical SSLS107 Panneau subjected to its own weight
Date:
05/10/98
Author (S):
P. Key MASSIN, A. LAULUSA
:
V3.03.107-A Page:
3/8
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).
Handbook of Validation
V3.03 booklet: Linear statics of the hulls and the plates
HI-75/01/010/A
Code_Aster ®
Version
4.0
Titrate:
Cylindrical SSLS107 Panneau subjected to its own weight
Date:
05/10/98
Author (S):
P. Key MASSIN, A. LAULUSA
:
V3.03.107-A Page:
4/8
3 Modeling
With
3.1
Characteristics of modeling
Element of COQUE_3D MEC3QU9H
Z
D
C
With
X
y
B
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.)
PESANTEUR:
(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 grid
A number of nodes: 169
A number of meshs and types: 36 QUAD9
3.3 Functionalities
tested
Commands
Keys
AFFE_MODELE AFFE
MODELISATION
:
“COQUE_3D”
[U4.22.01]
AFFE_CARA_ELEM HULL
TOUT
[U4.24.01]
AFFE_CHAR_MECA DDL_IMPO
GROUP_NO
[U4.25.01]
FORCE_COQUE
FX
PESANTEUR
DEFI_MATERIAU
ELAS
E, NAKED, RHO
[U4.23.01]
Handbook of Validation
V3.03 booklet: Linear statics of the hulls and the plates
HI-75/01/010/A
Code_Aster ®
Version
4.0
Titrate:
Cylindrical SSLS107 Panneau subjected to its own weight
Date:
05/10/98
Author (S):
P. Key MASSIN, A. LAULUSA
:
V3.03.107-A Page:
5/8
4
Results of modeling A
4.1 Values
tested
Identification Reference Aster %
difference
Not B
3.61 102 3.619
102
0.25
displacement DX
Not C
5.44 103 5.427
103
0.31
displacement DX
4.2 Parameters
of execution
Version: 4.00.14
Machine: CRAY
System:
UNICOS 8.0
Obstruction memory:
16 megawords
Time CPU To use: 7.34 seconds
Handbook of Validation
V3.03 booklet: Linear statics of the hulls and the plates
HI-75/01/010/A
Code_Aster ®
Version
4.0
Titrate:
Cylindrical SSLS107 Panneau subjected to its own weight
Date:
05/10/98
Author (S):
P. Key MASSIN, A. LAULUSA
:
V3.03.107-A Page:
6/8
5 Modeling
B
5.1
Characteristics of modeling
Element of hull 3D MEC3TR7H
Z
D
C
With
X
y
B
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 grid is of directed type:
Loading:
FORCE_COQUE:
(FX: - 6250.)
PESANTEUR:
(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 grid
A number of nodes: 913
A number of meshs and types: 288 TRIA7
5.3 Functionalities
tested
Commands
Keys
AFFE_MODELE AFFE
MODELISATION
:
“COQUE_3D”
[U4.22.01]
AFFE_CARA_ELEM HULL
TOUT
[U4.24.01]
AFFE_CHAR_MECA DDL_IMPO
GROUP_NO
[U4.25.01]
FORCE_COQUE
FX
PESANTEUR
DEFI_MATERIAU
ELAS
E, NAKED, RHO
[U4.23.01]
Handbook of Validation
V3.03 booklet: Linear statics of the hulls and the plates
HI-75/01/010/A
Code_Aster ®
Version
4.0
Titrate:
Cylindrical SSLS107 Panneau subjected to its own weight
Date:
05/10/98
Author (S):
P. Key MASSIN, A. LAULUSA
:
V3.03.107-A Page:
7/8
6
Results of modeling B
6.1 Values
tested
Identification Reference
Aster %
difference
Not B
3.61 102 3.603
102
0.19
displacement DX
Not C
5.41 103 5.396
103
0.26
displacement DX
6.2 Parameters
of execution
Version: 4.00.14
Machine: CRAY
System:
UNICOS 8.0
Obstruction memory:
16 megawords
Time CPU To use: 54.54 seconds
Handbook of Validation
V3.03 booklet: Linear statics of the hulls and the plates
HI-75/01/010/A
Code_Aster ®
Version
4.0
Titrate:
Cylindrical SSLS107 Panneau subjected to its own weight
Date:
05/10/98
Author (S):
P. Key MASSIN, A. LAULUSA
:
V3.03.107-A Page:
8/8
7
Summary of the results
Element MEC3QU9H makes it possible to obtain a good solution with a coarse grid, while
element MEC3TR7H requires a very fine grid 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.
Handbook of Validation
V3.03 booklet: Linear statics of the hulls and the plates
HI-75/01/010/A
Outline document