Code_Aster ®
Version
4.0
Titrate:
SDLL102 Portique subjected to forces electrodynamics
Date:
06/03/98
Author (S):
G. DEVESA
Key:
V2.02.102-B Page:
1/6
Organization (S): EDF/EP/AMV
Handbook of Validation
V2.02 booklet: Linear mechanics
V2.02.102 document
SDLL102 - Portique subjected to
electrodynamic forces
Summary:
This test is a three-dimensional problem of direct transitory dynamic calculation with forces distributed
of electrodynamic origin applied to a gantry (bars on 3 insulating columns of a station of
transformation).
This test was provided by Center d' Etudes of Réseau de Transport (EDF-DEPT). It was supplemented since by
a benchmark international bench starting from experimental measurements (results of several foreign codes):
test CIGRE-structure D.
It makes it possible to compare results of displacements compared to those obtained by other industrial codes
using a finished method finite elements or differences.
This test contains a modeling with elements of the type SEG2.
Handbook of Validation
V2.02 booklet: Linear dynamics of the beams
HI-75/96/051 - Ind A
Code_Aster ®
Version
4.0
Titrate:
SDLL102 Portique subjected to forces electrodynamics
Date:
06/03/98
Author (S):
G. DEVESA
Key:
V2.02.102-B Page:
2/6
1
Problem of reference
1.1 Geometry
D
M3
S4
H
M3
S8
L
Z
S3
0.16
C
M3
S7
G
M3
S11 K
M3
S2
2.1 Y
S6
M2
M2
S10
M2
X
B
F
J
2.135
S1
M1
S5
M1
S9
M1
With
E
I
11.5
11.5
Cross sections of beams:
· frame support
S1:
With = 1.2061 102 m2,
Iz =
2.3681 105 m4;
S5:
With = 1.4621 102 m2,
Iz =
2.8709 105 m4;
S9:
With = 1.5530 102 m2,
Iz =
3.0493 105 m4
· insulating columns
S2:
With = 3.1428 102 m2,
Iz =
4.5070 105 m4;
S6:
With = 3.2592 102 m2,
Iz =
4.6738 105 m4;
S10:
With = 3.3416 102 m2,
Iz =
4.7927 105 m4
· connections
S3, S11:
With = 3.1944 102 m2,
Iz =
1.15 105 m4;
S7:
With = 4.2130 102 m2,
Iz =
1.15 105 m4;
· conductors
S4, S8:
circular R = 6.055 102 m
E = 6.2 103 m
1.2
Material properties
M1:
E = 2. 1011 Pa
= 8000 kg/m3
(frame support)
M2:
E = 5. 1010 Pa
= 2500 kg/m3
(insulating column)
M3:
E = 7. 1010 Pa
= 2700 kg/m3
(connection and conducting aluminum)
Handbook of Validation
V2.02 booklet: Linear dynamics of the beams
HI-75/96/051 - Ind A
Code_Aster ®
Version
4.0
Titrate:
SDLL102 Portique subjected to forces electrodynamics
Date:
06/03/98
Author (S):
G. DEVESA
Key:
V2.02.102-B Page:
3/6
1.3
Boundary conditions and loadings
Points A, E, I: embedding
Points D, L: not-continuity of ux, y, Z
Forces of Laplace on conductors DH, HL;
·
two-phase current
= = 100 m
· infinite conductors separated from 1 m
I
I
2 (C (
bone
T
) E T
=
+
- -/
EFF
cos)
Ieff
effective intensity of the current
time-constant
· two short-circuit with reset
T
0 < T ˛ 0.135
0.135 < T < 0.580
0.580 ˛ T ˛ 0.885
I
15.6 kA
0
15.6 kA
EFF
0.066 S
-
0.062 S
1.4 Conditions
initial
T = 0, speed and zero acceleration.
2
Reference solution
2.1
Method of calculation used for the reference solution
· experimental measurements,
· numerical methods D.F. or E.F.
2.2
Uncertainty on the solution
± 5 to 10% of dispersion of the computed values.
2.3 References
bibliographical
[1]
G. DEVESA: “Calculation of the electrodynamic strains on structures of conductors rigid
electric stations: establishment in the mechanical computer code Aster and Validation ".
Note HM-72/5904
Handbook of Validation
V2.02 booklet: Linear dynamics of the beams
HI-75/96/051 - Ind A
Code_Aster ®
Version
4.0
Titrate:
SDLL102 Portique subjected to forces electrodynamics
Date:
06/03/98
Author (S):
G. DEVESA
Key:
V2.02.102-B Page:
4/6
3 Modeling
With
3.1
Characteristics of modeling
Modeling POU_D_E
D2
H1 H2
L1
D1
Z
L2
y
C
G
K
X
B
F
J
With
E
I
Discretization:
· elements AB, EFF, IJ: 10 meshs: SEG2
· elements BC, FG, JK: 10 meshs: SEG2
· elements CD1, GH1, KL1: 1 mesh: SEG2
· elements D2H1, H2 L1: 30 meshs: SEG2
Dynamic evolution on 1s discretized in step of time of 5. 104 S with the algorithm of NEWMARK
(= 0.25 have, D = 0.5).
Storage of the results all the 20 steps of time is 102 S.
3.2
Characteristics of the grid
A number of nodes: 126
A number of meshs and types: 123 meshs SEG2
3.3 Functionalities
tested
Commands
Key word
Option
Keys
DEFI_FONC_ELEC
[U4.21.06]
AFFE_CHAR_MECA
FORCE_ELEC
[U4.25.01]
DYNA_LINE_TRAN
NEWMARK
[U4.54.01]
CALC_ELEM
EFGE_ELNO_DEPL
[U4.61.02]
Handbook of Validation
V2.02 booklet: Linear dynamics of the beams
HI-75/96/051 - Ind A
Code_Aster ®
Version
4.0
Titrate:
SDLL102 Portique subjected to forces electrodynamics
Date:
06/03/98
Author (S):
G. DEVESA
Key:
V2.02.102-B Page:
5/6
4
Results of modeling A
4.1 Values
tested
Identification
Reference test
References
% difference
Aster 3.04.02
T = 0.12 S
uy in C2
60.49 mm
MX in S1
3140. Nm
3071. Nm
2.2
MX in S2
10150. Nm
9239. Nm
9.
MX in S3
3130. Nm
2916. Nm
6.8
Mz in C2
1431. Nm
1296. Nm
9.5
T = 0.70 S
uy in C2
11.891 cm
MX in S1
6080. Nm
6327. Nm
+4.
MX in S2
19670. Nm
18931. Nm
3.8
MX in S3
6060. Nm
6015. Nm
0.8
Mz in C2
2746. Nm
2647. Nm
3.6
Maximum obtained with T = 0.12 S (1st short-circuit) or T = 0.70 S (2nd short-circuit) or reset
(conformity test-calculation).
4.2 Remarks
The results obtained by ASTER are satisfactory compared to the other codes. They are almost
always lower than measurements (effects of frames AB, EFF, IJ overestimated). The maximum ones are
chopped because of periodic storage.
Contents of the file results:
Displacements all the 102 S and efforts in the elements at times T = 0.12 S, T = 0.27 S, T = 0.70 S.
4.3 Parameters
of execution
Version: 3.04.12
Machine: CRAY C90
UNICOS 8.0
Obstruction memory:
8 megawords
Time CPU To use:
74.19 seconds
Handbook of Validation
V2.02 booklet: Linear dynamics of the beams
HI-75/96/051 - Ind A
Code_Aster ®
Version
4.0
Titrate:
SDLL102 Portique subjected to forces electrodynamics
Date:
06/03/98
Author (S):
G. DEVESA
Key:
V2.02.102-B Page:
6/6
5
Summary of the results
The results are acceptable compared to the test results and locate values produced by
Code_Aster in good place among ten results of other software.
The values of reference of the file of test are those of version 3.04.02 of the code (not regression).
Handbook of Validation
V2.02 booklet: Linear dynamics of the beams
HI-75/96/051 - Ind A