Code_Aster
®
Version
4.0
Titrate:
SSNL105 Tallies stayed
Date:
24/08/99
Author (S):
J.M. PROIX, J.L. FLEJOU
Key:
V6.02.105-A
Page:
1/6
Manual of Validation
V6.02 booklet: Nonlinear statics of the linear structures
HI-75/96/041 - Ind A
Organization (S):
EDF/IMA/MN, ERMEL/PEL
Manual of Validation
V6.02 booklet: Nonlinear statics of the linear structures
Document: V6.02.105
SSNL105 - Tally stayed
Summary:
Test of mechanics of the structures in static nonlinear elasticity.
The framework is made of pin jointed struts. The stays consist of two cables. Only one modeling
is built.
This test makes it possible to check the behavior in traction and compression of the elements of cable (traction possible,
null compression) and the elastic behavior of the bars.
Code_Aster
®
Version
4.0
Titrate:
SSNL105 Tallies stayed
Date:
24/08/99
Author (S):
J.M. PROIX, J.L. FLEJOU
Key:
V6.02.105-A
Page:
2/6
Manual of Validation
V6.02 booklet: Nonlinear statics of the linear structures
HI-75/96/041 - Ind A
1
Problem of reference
1.1 Geometry
Tally square plan fitted with two stays (cables) on the two diagonals.
3
4
1
2
1
1
bars
cables
Co-ordinates of the points:
1 0. 0.
2 0. 1.
3 1. 1.
4 1. 0.
The cables are not connected in their mediums.
1.2
Material properties
E = 2.1 10
11
AP
= 0.3
1.3
Boundary conditions and loadings
DZ = 0.
nodes 1, 2, 3, 4
DY = 0.
nodes 1, 4
DX = 0.
node 1
FX = 1000. NR
node 3
Code_Aster
®
Version
4.0
Titrate:
SSNL105 Tallies stayed
Date:
24/08/99
Author (S):
J.M. PROIX, J.L. FLEJOU
Key:
V6.02.105-A
Page:
3/6
Manual of Validation
V6.02 booklet: Nonlinear statics of the linear structures
HI-75/96/041 - Ind A
2
Reference solution
2.1
Method of calculation used for the reference solution
The solution is obtained by elementary statics.
In the cable 1 3
In bar 3 - 4
= - 1000
-
=
NR
NR
NR
NR
NR
1000 2
1414 2
.
NR
=
0
everywhere else (and in particular in cable 2-4).
2.2
Uncertainty on the solution
The reference solution is exact.
2.3 References
bibliographical
Simple problem imagined to put in contrast the behavior of two cables: one with traction,
the other with compression.
Code_Aster
®
Version
4.0
Titrate:
SSNL105 Tallies stayed
Date:
24/08/99
Author (S):
J.M. PROIX, J.L. FLEJOU
Key:
V6.02.105-A
Page:
4/6
Manual of Validation
V6.02 booklet: Nonlinear statics of the linear structures
HI-75/96/041 - Ind A
3 Modeling
With
3.1
Characteristics of modeling
3
4
1
2
Bars 1-2, 2-3, 3-4 and 4-1 are modelized each one by 1 element
BAR
.
The cables are modelized each one by an element
CABLE
.
3.2
Characteristics of the mesh
There are thus 4 elements
BAR
and 2 elements
CABLE
.
3.3 Functionalities
tested
Order
Key word fact.
Key word
Argument
Keys
DEFI_MATERIAU
CABLE
EC_SUR_E
[U4.23.01]
AFFE_MODELE
AFFE
MODELING
“BAR”
[U4.22.01]
STAT_NON_LINE
COMP_ELAS
RELATION
“CABLE”
[U4.32.01]
and
“ELAS”
with bars
Code_Aster
®
Version
4.0
Titrate:
SSNL105 Tallies stayed
Date:
24/08/99
Author (S):
J.M. PROIX, J.L. FLEJOU
Key:
V6.02.105-A
Page:
5/6
Manual of Validation
V6.02 booklet: Nonlinear statics of the linear structures
HI-75/96/041 - Ind A
4
Results of modeling A
4.1
Values tested: stresses in the elements
Net
Reference
Aster
difference %
3-4
1000.0
999.77
1.7 E2
1-3 (cable)
1414.2
1413.9
2.3 E2
1-2
0
2.73 E26
0
2-3
0
9.09 E13
0
4-1
0
5.39 E12
0
4-2 (cable)
0
0
0
4.2 Remarks
These results are obtained with a criterion of convergence of 10
6
(convergence in 3 iterations).
4.3 Parameters
of execution
Version: NEW 3.05.28
Machine: CRAY C90
Overall dimension memory:
8 MW
Time CPU To use:
6.5 seconds
Code_Aster
®
Version
4.0
Titrate:
SSNL105 Tallies stayed
Date:
24/08/99
Author (S):
J.M. PROIX, J.L. FLEJOU
Key:
V6.02.105-A
Page:
6/6
Manual of Validation
V6.02 booklet: Nonlinear statics of the linear structures
HI-75/96/041 - Ind A
5
Summary of the results
The results show that the behavior of the cables is in conformity so that one expects some: not
compression, rubber band in traction.