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