Code_Aster
®
Version
4.0
Titrate:
SSNL100 Poses 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
Manual of Validation
V6.02 booklet: Nonlinear statics of the linear structures
HI-75/96/064 - Ind A
Organization (S):
EDF/IMA/MN
Manual 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 installation 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].
Code_Aster
®
Version
4.0
Titrate:
SSNL100 Poses 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
Manual of Validation
V6.02 booklet: Nonlinear statics of the linear structures
HI-75/96/064 - Ind A
1
Problem of reference
1.1 Geometry
0
P
1
P
2
R
2
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 10
7
NR
1.3
Boundary conditions and loadings
The points O, C and P
2
are fixed.
The cable, fixed out of O, is pressed on two pulleys. First is attached at the lower end P
1
suspension fixed out of C. second is fixed at P
2
.
The cable is subjected to its weight and one gives him arrow by moving his right end of 10 m
R
2
in R'
2
.
The position of the points Q
1
, R
1
and Q
2
is not imposed, but one must make so that during
pose the pulley P
1
remain on the length of cable Q
1
R
1
.
Code_Aster
®
Version
4.0
Titrate:
SSNL100 Poses 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
Manual of Validation
V6.02 booklet: Nonlinear statics of the linear structures
HI-75/96/064 - Ind A
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. It
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).
Code_Aster
®
Version
4.0
Titrate:
SSNL100 Poses 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
Manual of Validation
V6.02 booklet: Nonlinear statics of the linear structures
HI-75/96/064 - Ind A
3 Modeling
With
3.1
Characteristics of modeling
·
10 elements of cable
MECABL2 between O and Q
1
, carried by meshs SEG2;
·
1 element
MEPOULI passing by the pulley P
1
and carried by mesh SEG3
Q
1
P
1
R
1
;
·
9 elements
MECABL2 between R
1
and
Q
2
;
·
1 element
MEPOULI on Q
2
P
2
R
2
;
·
1 element
MECABL2 on the suspension P
1
C.
3.2
Characteristics of the mesh
A number of nodes: 25
A number of meshs and types: 20 meshs SEG2 and 2 meshs SEG3
3.3 Functionalities
tested
Controls
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 P
2
of 10m by the displacement of R
2
in R'
2
(R
2
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 voltage to the cable itself in R
2
and with
the suspension out of P
1
(one suggests taking voltages of 10.000 NR);
·
one makes a continuation on the preceding situation of balance by applying gravity and it
displacement R
2
R'
2
. The load of gravity will be declared of type
“SUIV”
, because of
elements MEPOULI of which the 2 parts are variable length.
Code_Aster
®
Version
4.0
Titrate:
SSNL100 Poses 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
Manual of Validation
V6.02 booklet: Nonlinear statics of the linear structures
HI-75/96/064 - Ind A
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
Overall dimension memory: 8 megawords
Time CPU To use: 22 seconds
Code_Aster
®
Version
4.0
Titrate:
SSNL100 Poses 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
Manual of Validation
V6.02 booklet: Nonlinear statics of the linear structures
HI-75/96/064 - Ind A
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 control
STAT_NON_LINE
.