Code_Aster ®
Version
4.0
Titrate:
SSNL100 Pose of a canton of line with two equal ranges
Date:
30/01/98
Author (S):
Mr. AUFAURE
Key:
V6.02.100-B Page:
1/6
Organization (S): EDF/IMA/MN
Handbook of Validation
V6.02 booklet: Nonlinear statics of the linear structures
Document: V6.02.100
SSNL100 - Pose of a canton of line with two
equal ranges
Summary:
This test simulates the operation of pose of a cable with two ranges. The cable is fixed at the one of its ends, passes
on a fast pulley towards the other end and rests in its medium on a pulley placed at the bottom of a suspension
mobile. One adjusts the arrow of the ranges in “giving” more or less cable to the level of the fast pulley.
Interest: to test the elements of cable and cable-pulley and their operation in the operator
STAT_NON_LINE [U4.32.01].
Handbook of Validation
V6.02 booklet: Nonlinear statics of the linear structures
HI-75/96/064 - Ind A

Code_Aster ®
Version
4.0
Titrate:
SSNL100 Pose of a canton of line with two equal ranges
Date:
30/01/98
Author (S):
Mr. AUFAURE
Key:
V6.02.100-B Page:
2/6
1
Problem of reference
1.1 Geometry
0
P1
P2
R2
C
X
0.
100.
200.
220.
100.
Z
0.
0.
0.
0.
10.
Co-ordinates of the points (in m)
Names and position of the nodes (medium of front range poses):
· range of left: N6 and X = 48.50 m
· range of straight line: N19 and X = 160.50 m
1.2
Material properties
Linear weight of the cable: 30N/m
Axial rigidity of the cable (produced Young modulus by the surface of the cross-section): 5 X 107N
1.3
Boundary conditions and loadings
The points O, C and P2 are fixed.
The cable, fixed out of O, is pressed on two pulleys. First is attached at the lower end P1 of
suspension fixed out of C. second is fixed at P2.
The cable is subjected to its weight and one gives him arrow by moving his right end of 10 m
of R2 with R'2.
The position of the points Q1, R1 and Q2 is not imposed, but one must make so that during
pose the P1 pulley remains on the length of cable Q1 R1.
Handbook of Validation
V6.02 booklet: Nonlinear statics of the linear structures
HI-75/96/064 - Ind A

Code_Aster ®
Version
4.0
Titrate:
SSNL100 Pose of a canton of line with two equal ranges
Date:
30/01/98
Author (S):
Mr. AUFAURE
Key:
V6.02.100-B Page:
3/6
2
Reference solution
2.1
Method of calculation used for the reference solution
The arrow of reference relates to an inextensible cable of 105 m on a range of 100 Mr. Elle
is obtained by the solution of a transcendent equation [bib2].
2.2
Results of reference
The arrow of reference is 13.93 m, equal for each range.
2.3
Uncertainty on the solution
Semi-analytical solution.
2.4 References
bibliographical
[1]
Mr. AUFAURE, “a finite element of cable-pulley”, Document R3.08.05 (1996).
[2]
H. MAX IRVINE, “Cable Structures”, The MIT Close (1981).
Handbook of Validation
V6.02 booklet: Nonlinear statics of the linear structures
HI-75/96/064 - Ind A

Code_Aster ®
Version
4.0
Titrate:
SSNL100 Pose of a canton of line with two equal ranges
Date:
30/01/98
Author (S):
Mr. AUFAURE
Key:
V6.02.100-B Page:
4/6
3 Modeling
With
3.1
Characteristics of modeling
· 10 elements of cable
MECABL2 between O and Q1, carried by meshs SEG2;
· 1 element
MEPOULI passing by the pulley P1 and carried by mesh SEG3
Q1 P1 R1;
· 9 elements
MECABL2 between R1 and Q2;
· 1 element
MEPOULI on Q2 P2 R2;
· 1 element
MECABL2 on suspension P1C.
3.2
Characteristics of the grid
A number of nodes: 25
A number of meshs and types: 20 meshs SEG2 and 2 meshs SEG3
3.3 Functionalities
tested
Commands
Keys
STAT_NON_LINE
COMP_ELAS
DEFORMATION
“GREEN”
[U4.32.01]
EXCIT
TYPE_CHARGE
“SUIV”
3.4 Remarks
On the basis of a horizontal rectilinear cable in weightlessness, one applies gravity while increasing
length of the cable between O and P2 of 10m by the displacement of R2 in R'2 (R2 R'2 = 10 m). Like
not tended right cables do not have rigidity for the transverse loads, one cannot apply
from the start the loading case preceding bus one would lead to a singular system of equations.
Calculation is thus done in 2 stages:
· one puts the cables in prevoltage by applying a tension to the cable itself in R2 and to
the suspension in P1 (one suggests taking tensions of 10.000 NR);
· one makes a continuation on the preceding situation of balance by applying gravity and it
displacement R2 R'2. The load of gravity will be declared of type “SUIV”, because of
elements MEPOULI of which the 2 parts are variable length.
Handbook of Validation
V6.02 booklet: Nonlinear statics of the linear structures
HI-75/96/064 - Ind A

Code_Aster ®
Version
4.0
Titrate:
SSNL100 Pose of a canton of line with two equal ranges
Date:
30/01/98
Author (S):
Mr. AUFAURE
Key:
V6.02.100-B Page:
5/6
4
Results of modeling A
4.1 Values
tested
Results
Reference
Aster
% difference
Arrow of the range of N6 left
­ 13.93 m
­ 13.96 m
­ 0.23
Arrow of the range of N19 straight line
­ 13.93 m
­ 13.89 m
+0.25
4.2 Parameters
of execution
Version: NEW 3.06.11
Machine: CRAY C90
System: UNICOS 8.0
Obstruction memory: 8 megawords
Time CPU To use: 22 seconds
Handbook of Validation
V6.02 booklet: Nonlinear statics of the linear structures
HI-75/96/064 - Ind A

Code_Aster ®
Version
4.0
Titrate:
SSNL100 Pose of a canton of line with two equal ranges
Date:
30/01/98
Author (S):
Mr. AUFAURE
Key:
V6.02.100-B Page:
6/6
5
Summary of the results
This test makes it possible to make sure that the evolutions of Aster do not generate regressions for
elements of cable and cable-pulley, like for the following loads of the command
STAT_NON_LINE.
Handbook of Validation
V6.02 booklet: Nonlinear statics of the linear structures
HI-75/96/064 - Ind A