Code_Aster
®
Version
5.0
Titrate:
SSLS501 - Roll infinitely long subjected to two lines of load
Date:
01/10/01
Author (S):
P. MASSIN, F. LEBOUVIER
Key
:
V3.03.501-A
Page:
1/6
Manual of Validation
V3.03 booklet: Linear statics of the plates and hulls
HI-75/01/010/A
Organization (S):
EDF/MTI/MN, DeltaCAD
Manual of Validation
V3.03 booklet: Linear statics of the plates and hulls
Document: V3.03.501
SSLS501 - Roll infinitely long subjected
with two lines of load
Summary:
This test represents a quasi-static calculation of an infinitely long cylinder subjected to two lines of load
diametrically opposite. It makes it possible to validate modeling finite elements COQUE_D_PLAN with catch in
count variation of curvature between the under-surface and upper surface (AFFE_CARA_ELEM:MODI_METRIQUE).
Displacements and the efforts obtained are compared with an analytical reference solution.
Code_Aster
®
Version
5.0
Titrate:
SSLS501 - Roll infinitely long subjected to two lines of load
Date:
01/10/01
Author (S):
P. MASSIN, F. LEBOUVIER
Key
:
V3.03.501-A
Page:
2/6
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
X
Z, W
y, v
Q
R
Radius: R = 1 m
Thickness: H = 0.1 m
X, U
, Z
, Z
, X
, y
1.2
Properties of material
The properties of material constituting the cylinder are:
E
= 10
5
AP
Young modulus
= 0
Poisson's ratio
1.3
Boundary conditions and loadings
·
CL: displacement following Z is null for the whole of the points of the cylinder
·
Force per unit of length: Q = 1.5 NR/m
1.4 Conditions
initial
Without object
Code_Aster
®
Version
5.0
Titrate:
SSLS501 - Roll infinitely long subjected to two lines of load
Date:
01/10/01
Author (S):
P. MASSIN, F. LEBOUVIER
Key
:
V3.03.501-A
Page:
3/6
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 reference solution obtained by KOITER-SANDERS [bib1] [bib2] is based on the theory of
deep hulls.
2.2
Results of reference
The results of reference are:
·
Displacement following y to point a: 13.455
10
- 3
m
·
Displacement following X to point b: 12.255
10
- 3
m
·
Normal effort at point A
: 0.0
NR
·
Bending moment at point A
:
0.477 N.m
2.3
Uncertainties on the solution
Analytical solution
2.4 References
bibliographical
[1]
GEOFFROY P.: “Development and evaluation of a finite element for the non-linear analysis
statics and dynamics of thin hulls ", Thesis of Doctor Engineer UTC, 1983.
[2]
BATOZ J.L. : “Non-linear Analysis of the elastic thin hulls of arbitrary form by
curved triangular elements ", Thesis of science doctorate (pH. D thesis), Department
from civil engineering, Laval University, Quebec, Mars 1977.
Code_Aster
®
Version
5.0
Titrate:
SSLS501 - Roll infinitely long subjected to two lines of load
Date:
01/10/01
Author (S):
P. MASSIN, F. LEBOUVIER
Key
:
V3.03.501-A
Page:
4/6
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
Mesh of the arc of circle AB with 32 finite elements of type COQUE_D_PLAN
y, v
With
B
Z
X, U
32
Z
F
Conditions of symmetry:
- Not a: U =
Z
=0
- Not b: v =
Z
=0
Loading:
- Not a: F = Q/2
3.2
Characteristics of the mesh
A number of nodes: 17
A number of meshs and type: 8 SEG3
3.3 Functionalities
tested
Controls Key word
factor Key word
AFFE_MODELE AFFE
“COQUE_D_PLAN”
AFFE_CARA_ELEM HULL
THICK
A_CIS: 0.833
MODI_METRIQUE: “YES”
AFFE_CHAR_MECA FORCE_NODALE
FY
Code_Aster
®
Version
5.0
Titrate:
SSLS501 - Roll infinitely long subjected to two lines of load
Date:
01/10/01
Author (S):
P. MASSIN, F. LEBOUVIER
Key
:
V3.03.501-A
Page:
5/6
Manual of Validation
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
Displacement following y to the point
With
13.455 E3 m
13.603 E3
1.099
Displacement following X to the point
B
12.255 E3 m
12.360 E3
0.857
Normal effort at point A
0.0 NR
0.183
*****
Bending moment at point A
0.477 N.m
0.478
0.210
4.2 Parameters
of execution
Version:
NEW 5.04.17
Machine:
SGI-Origin2000 R12000
Overall dimension memory:
16 megabytes
Time CPU To use: 1.31 seconds
Code_Aster
®
Version
5.0
Titrate:
SSLS501 - Roll infinitely long subjected to two lines of load
Date:
01/10/01
Author (S):
P. MASSIN, F. LEBOUVIER
Key
:
V3.03.501-A
Page:
6/6
Manual of Validation
V3.03 booklet: Linear statics of the plates and hulls
HI-75/01/010/A
5
Summary of the results
As a whole, the results obtained are very satisfactory:
·
the maximum change is 1.1%. on displacements,
·
the maximum change is 0.21% at the bending time.
The value of the normal effort is far away from the reference solution. The result would be more precise if one
used a finer mesh [bib1].