Code_Aster ®
Version
4.0
Titrate:
Embed-free SDLL23 Poutre subjected to a seism
Date:
07/01/98
Author (S):
P. GUIHOT
Key:
V2.02.023-B Page:
1/6
Organization (S): EDF/EP/AMV
Handbook of Validation
V2.02 booklet: Linear dynamics of the beams
V2.02.023 document
SDLL23 - Subjected embed-free Poutre
with a seism (spectral answer)
Summary
This one-way problem consists in carrying out a spectral seismic analysis of a free fixed beam
provided with two localized masses subjected to a three-dimensional excitation provided in the shape of a spectrum
oscillators in pseudo-acceleration.
Via this problem, one tests modal combinations DPC, SRSS, CQC and DSC of the operator
COMB_SISM_MODAL [U4.54.04]. Combination SRSS is tested with taking into account of the neglected modes.
In addition, one tests the operators of preprocessing MODE_ITER_SIMULT [U4.52.02], NORM_MODE [U4.64.02],
MODE_STATIQUE [U4.52.04], DEFI_FONCTION [U4.21.02] and DEFI_NAPPE [U4.21.03].
The results obtained are in agreement with the card of validation suggested in guide VPCS.
Handbook of Validation
V2.02 booklet: Linear dynamics of the beams
HI-785/96/051 - Ind A
Code_Aster ®
Version
4.0
Titrate:
Embed-free SDLL23 Poutre subjected to a seism
Date:
07/01/98
Author (S):
P. GUIHOT
Key:
V2.02.023-B Page:
2/6
1
Problem of reference
1.1 Geometry
B
C
With
Length of the beam L = 10 m, the mass B is at a distance of 0.5 m of point A.
Cross section of the beam
Surface
With = 78.1 104 m2
Moments of inertia
ly = 5696 108 m4
lz = 2003 108 m4
1.2
Material properties
Beam
E = 2.1011 Pa
= 0 kg/m3
(mass of the null beam)
Mass out of B
mB = 50000 kg
Mass out of C
mC = 5000 kg
1.3
Boundary conditions and loadings
Not A embedded
Spectrum of oscillator in acceleration applied in A in the three directions.
ms2
25
2.4
0.05 0.13
0.5
5.0
Handbook of Validation
V2.02 booklet: Linear dynamics of the beams
HI-785/96/051 - Ind A
Code_Aster ®
Version
4.0
Titrate:
Embed-free SDLL23 Poutre subjected to a seism
Date:
07/01/98
Author (S):
P. GUIHOT
Key:
V2.02.023-B Page:
3/6
2
Reference solution
2.1
Method of calculation used for the reference solution
Guide VPCS (to be appeared): comparison with other codes.
For the comparison between the method CQC, comparison and Castem2000.
2.2
Results of reference
Absolute acceleration according to X at the points A, P1, P2, P3, P4.
2.3 References
bibliographical
[1]
J. PIRANDA: Note of use of the software of modal analysis MODAN - Version 0.2 (1990).
Laboratory of Mécanique Appliquée - Université de Franche County Besancon (France).
Guide VPCS to be appeared.
Handbook of Validation
V2.02 booklet: Linear dynamics of the beams
HI-785/96/051 - Ind A
Code_Aster ®
Version
4.0
Titrate:
Embed-free SDLL23 Poutre subjected to a seism
Date:
07/01/98
Author (S):
P. GUIHOT
Key:
V2.02.023-B Page:
4/6
3 Modeling
With
3.1
Characteristics of modeling
y
B
C
With
X
Right beam modelled by 3 nodes and 2 SEG2 of the type POU_D_E
Mass modelled by discrete elements M_T_N
3.2
Characteristics of the grid
A number of nodes: 3
A number of meshs and types: 2 SEG2 (POU_D_E), 2 POI1 (DIS_T_N)
3.3 Functionalities
tested
Commands
Keys
MODE_ITER_SIMULT
CALC_FREQ
[U4.52.02]
NORM_MODE
“MASS_GENE”
[U4.64.02]
MODE_STATIQUE
[U4.52.04]
DEFI_FONCTION
FREQ
LOG
[U4.21.02]
DEFI_NAPPE
[U4.21.03]
COMB_SISM_MODAL
COMB_MODE
“DPC”
[U4.54.04]
“SRSS”
“CQC”
“DSC”
Handbook of Validation
V2.02 booklet: Linear dynamics of the beams
HI-785/96/051 - Ind A
Code_Aster ®
Version
4.0
Titrate:
Embed-free SDLL23 Poutre subjected to a seism
Date:
07/01/98
Author (S):
P. GUIHOT
Key:
V2.02.023-B Page:
5/6
4
Results of modeling A
4.1 Values
tested
Identification
Reference
Aster
% difference
Eigen frequencies
1
0.24691
0.24672
- 0.07
2
0.41666
0.41606
- 0.14
3
7.4074
7.3932
- 0.19
4
12.5
12.467
- 0.26
5
27.777
27.507
- 0.97
6
41.666
41.740
0.17
Direction numero_mode
Factor of participation
DY 1
73.3
73.31
0.02
DZ 2
73.3
73.31
0.02
DY 3
223.
222.8
- 0.10
DZ 4
- 223.
- 222.8
- 0.10
DX 5
130.
130.1
0.10
DX 6
195.
195.1
0.05
Response on 3 modes (DPC)
DEPL B DY
1.254 10-2
1.247 10-2
- 0.528
B DZ
2.8 10-3
2.832 10-3
1.167
C DY
1.269
1.282
1.027
C DZ
7.574 10-1
7.673 10-1
1.297
REAC A DX
0.000
1.146 10-5
1.15 10-5
WITH DY
1.231 106
1.240 106
0.790
WITH DZ
2.7 104
2.718 104
0.698
WITH DRY
2.56 105
2.626 105
2.613
WITH DRZ
5.91 105
5.969 105
1.005
Response on 6 modes (DPC)
DEPL B DX
1.32 10-4
1.333 10-4
1.031
B DY
1.255 10-2
1.247 10-2
- 0.607
B DZ
3.829 10-3
3.814 10-3
- 0.393
C DX
5.999 10-4
6.022 10-4
0.368
C DY
1.269
1.282
1.027
C DZ
7.579 10-1
7.673 10-1
1.230
REAC A DX
4.12 105
4.166 105
1.121
WITH DY
1.227 106
1.240 106
1.118
WITH DZ
7.96 105
7.816 105
- 1.807
WITH DRY
4.49 105
4.481 105
- 0.191
WITH DRZ
5.90 105
5.969 105
1.176
Response (SRSS) on 3 modes with static correction
DEPL B DX
1.76 10-4
1.760 10-4
0.032
B DY
1.267 10-2
1.247 10-2
- 1.548
B DZ
3.3 10-3
3.264 10-3
- 1.065
C DX
4.8E-4
4.801E-4
0.03
C DY
1.277
1.282
0.39
C DZ
0.762
0.767
0.69
REAC A DX
5.46E+5
5.500E+5
0.73
WITH DY
12.30E+5
12.40E+5
0.87
WITH DZ
4.90E+5
4.969E+5
1.43
WITH DRY
3.43 105
3.495 105
1.919
WITH DRZ
5.91 105
5.969 105
1.005
Response on 6 modes (CQC)
DEPL B DX
1.337 10-4
1.334 10-4
- 0.243
B DY
1.247 10-2
1.247 10-2
0.0
B DZ
3.814 10-3
3.814 10-3
- 0.001
C DX
6.012E-4
6.019E-4
0.12
C DY
1.282
1.282
0.0
C DZ
0.767
0.767
0.0
REAC A DX
4.18E+5
4.169E+5
- 0.24
Handbook of Validation
V2.02 booklet: Linear dynamics of the beams
HI-785/96/051 - Ind A
Code_Aster ®
Version
4.0
Titrate:
Embed-free SDLL23 Poutre subjected to a seism
Date:
07/01/98
Author (S):
P. GUIHOT
Key:
V2.02.023-B Page:
6/6
WITH DY
12.40E+5
12.40E+5
0.0
WITH DZ
7.816E+5
7.816E+5
0.0
WITH DRY
4.481E+5
4.481E+5
- 0.01
WITH DRZ
5.969E+5
5.969E+5
0.0
Response on 6 modes (DSC, lasted 5
S)
DEPL B DX
1.339 10-4
1.335 10-4
- 0.290
B DY
1.248 10-2
1.247 10-2
- 0.025
B DZ
3.816 10-3
3.815
- 0.028
C DX
6.009 10-4
6.018 10-4
0.144
C DY
1.282
1.282
0.000
C DZ
7.673 10-1
7.673 10-1
0.000
REAC A DX
4.183 105
4.171 105
- 0.290
WITH DY
1.240 106
1.240 106
- 0.001
WITH DZ
7.816 105
7.816 105
- 0.002
WITH DRY
4.483 105
4.482 105
- 0.027
WITH DRZ
5.971 105
5.970 105
- 0.018
4.2 Remarks
Value of the spectrum (interpolation):
Mode
1
2
3
4
5
6
Spectrum
2.972
5.058
25.
15.74
10.
10.
1 1.38E - 3 5.05E - 6 2.27E - 6 6.85E - 7 3.65E - 7
1
1.13E - 5
5.05E - 6
1.51E - 6
8.04E - 7
1
1.38E - 3
1.64E - 4
7.48E - 5
Stamp correlation CQC:
1
5.61E - 4
2.04E - 4
1
2.21E - 3
1
4.3 Parameters
of execution
Version: 3.05.02
Machine: CRAY C90
System: UNICOS 8
Obstruction memory: 8 megawords
Time CPU To use: 14.43 seconds
5
Summary of the results
Perfect agreement of the Aster results with the card of validation suggested by the commission VPCS which
indicate a tolerance of 2% on the values of reference.
Handbook of Validation
V2.02 booklet: Linear dynamics of the beams
HI-785/96/051 - Ind A