Code_Aster
®
Version
4.0
Titrate:
SDLL108 “Counts with coffee” of NEUBERT
Date:
08/01/98
Author (S):
P. GUIHOT
Key:
V2.02.108-A
Page:
1/8
Manual of Validation
V2.02 booklet: Linear dynamics of the beams
HI-75/96/051 - Ind A
Organization (S):
EDF/EP/AMV
Manual of Validation
V2.02 booklet: Linear dynamics of the beams
V2.02.108 document
SDLL108 - “Table with coffee” of NEUBERT
Summary
This multidirectional problem consists in carrying out a spectral seismic analysis of a made up structure
elements of beams without masses and discrete masses to the nodes. It includes/understands two modelings
agent with two smoothnesses of discretization.
The seismic excitation is provided in the shape of three spectra of response of oscillators in acceleration to
supports according to axes' X, Y and Z.
Via this problem, one tests the control
MODE_STATIQUE
[U4.52.04] and options of
quadratic combination of the modes and quadratic combination of the directions of the excitations of
order
COMB_SISM_MODAL
[U4.54.04].
The results obtained are in concord with the results of reference.
Code_Aster
®
Version
4.0
Titrate:
SDLL108 “Counts with coffee” of NEUBERT
Date:
08/01/98
Author (S):
P. GUIHOT
Key:
V2.02.108-A
Page:
2/8
Manual of Validation
V2.02 booklet: Linear dynamics of the beams
HI-75/96/051 - Ind A
1
Problem of reference
1.1 Geometry
692,15
438,15
473,075
L = 0.69215 m
L = 0.43815 m
H = 0.473075 m
hollow circular section: D
E
= 0.060 m
D
I
= 0.052 m
S = 0.7037 X 10
3
m
2
I
y
= Iz = 0.2772 X 10
6
m
4
With
y
= A
Z
= 2.
C
y
= 0.5545 X 10
6
m
4
y
X
Z
1.2
Material properties
E = 1.92276 E11 NR/m
2
= 0.3
= 0. kg/m
3
1.3
Boundary conditions and loadings
·
Structure embedded at its base,
·
Modal depreciation of 2%.
Definition of the spectrum of acceleration to the supports
Freq
X Z
Y
100
17.3
11.5
110
16.3
10.9
120
15.3
10.2
130
14.3
9.6
300
10.2
6.66
·
for a damping of 2%,
·
acceleration in G.
Code_Aster
®
Version
4.0
Titrate:
SDLL108 “Counts with coffee” of NEUBERT
Date:
08/01/98
Author (S):
P. GUIHOT
Key:
V2.02.108-A
Page:
3/8
Manual of Validation
V2.02 booklet: Linear dynamics of the beams
HI-75/96/051 - Ind A
2
Reference solution
2.1
Method of calculation used for the reference solution
Comparison with other codes.
2.2
Results of reference
·
Displacements at the points constituting the corners of the table,
·
Reactions of supports to anchorings,
·
efforts intern with the “corners”.
2.3 References
bibliographical
[1]
NEUBERT and EZELL: Dynamics behavior off has foundation like structure.
Code_Aster
®
Version
4.0
Titrate:
SDLL108 “Counts with coffee” of NEUBERT
Date:
08/01/98
Author (S):
P. GUIHOT
Key:
V2.02.108-A
Page:
4/8
Manual of Validation
V2.02 booklet: Linear dynamics of the beams
HI-75/96/051 - Ind A
3 Modeling
With
3.1
Characteristics of modeling
254,
219,075
9
8
X
Z
6
1
15
18
4
5
7
14
16
2
10
11
13
12
3
17
219,075
254,
219,075
Net E2: N1 - N7
E3: N7 - N6
E12: N7 - N8
Masses of corners
: 4,444 kg
Intermediate masses: 1,566 kg
3.2
Characteristics of the mesh
A number of nodes: 18
A number of meshs and types: 18
MECA_POU_D_T
and 14
MECA_DIS_T_N
3.3 Functionalities
tested
Controls
Keys
MODE_STATIQUE
[U4.52.04]
MODE_ITER_INV
CALC_FREQ
[U4.52.02]
NORM_MODE
MASS_GENE
[U4.64.02]
DEFI_FONCTION
[U4.21.02]
DEFI_NAPPE
[U4.21.03]
COMB_SISM_MODAL
[U4.54.04]
3.4 Remarks
The modes are standardized with the generalized mass with 1.
The total answer is obtained by a quadratic combination of the modes and a combination
quadratic of the directions of the excitations.
Code_Aster
®
Version
4.0
Titrate:
SDLL108 “Counts with coffee” of NEUBERT
Date:
08/01/98
Author (S):
P. GUIHOT
Key:
V2.02.108-A
Page:
5/8
Manual of Validation
V2.02 booklet: Linear dynamics of the beams
HI-75/96/051 - Ind A
4
Results of modeling A
4.1 Values
tested
Identification
Reference
Aster
% difference
Displacement:
N5
DX
3.408E-04
3.409E-04
0.013
DY
4.364E-06
4.417E-06
1.218
DZ
3.019E-04
3.019E-04
0.010
DRX
3.684E-04
3.686E-04
0.044
DRY
4.988E-05
5.024E-05
0.718
DRZ
5.086E-04
5.090E-06
0.073
Reactions:
N15
FX
1.255E+03
1.257E+03
0.051
FY
1.257E+03
1.273E+03
1.282
FZ
1.220E+03
1.224E+03
0.381
MX
3.247E+02
3.248E+02
0.016
MY
4.345E+00
4.355E+00
0.239
MZ
3.483E+02
3.482E+02
- 0.010
Efforts:
E2 N7 FX
1.135E+03
1.135E+03
- 0.024
FY
1.241E+03
1.253E+03
0.922
FZ
1.101E+03
1.102E+03
0.145
MX
2.275E+02
2.275E+02
0.004
MY
4.346E+00
4.355E+00
0.218
MZ
2.196E+02
2.197E+02
0.048
E3 N7 FX
1.899E+02
1.913E+02
0.729
FY
1.039E+03
1.039E+03
0.016
FZ
1.306E+02
1.319E+02
0.987
MX
2.275E+02
2.275E+02
0.003
MY
3.057E+01
3.064E+01
0.220
MZ
2.100E-01
2.103E-01
0.171
E12 N7 FX
2.978E+02
2.997E+02
0.633
FY
6.351E+02
6.377E+02
0.409
FZ
2.673E+02
2.681E+02
0.299
MX
1.080E-01
1.080E-01
0.457
MY
3.388E+01
3.395E+01
0.205
MZ
2.196E+02
2.197E+02
0.048
4.2 Remarks
·
Displacements of the corners (N5, N7, N10, N12) are identical,
·
The reactions to the supports (N15, N16, N17, N18) are identical,
·
Efforts generalized in the total reference mark.
4.3 Parameters
of execution
Version: 3.05.02
Machine: CRAY C90
System: UNICOS 8.0
Overall dimension memory: 8 megawords
Time CPU To use: 17.13 seconds
Code_Aster
®
Version
4.0
Titrate:
SDLL108 “Counts with coffee” of NEUBERT
Date:
08/01/98
Author (S):
P. GUIHOT
Key:
V2.02.108-A
Page:
6/8
Manual of Validation
V2.02 booklet: Linear dynamics of the beams
HI-75/96/051 - Ind A
5 Modeling
B
5.1
Characteristics of modeling
17
6
1
25
26
2
7
19
21
28
5
15
11
23
12
3
27
18
20
22
4
16
14
13
24
155,75
127
127
127
155,75 155,75
127
155,75
10
8
9
155,75
127
190,5
Net E3: N6 - N17
E4: N17 - N18
E19: N17 - N16
Masses of corners
: 4,444 kg
Intermediate masses: 0,783 kg
5.2
Characteristics of the mesh
A number of nodes: 24
A number of meshs and types: 28 (
MECA_POU_D_T
) and 24
MECA_DIS_T_N
5.3 Functionalities
tested
Controls
Keys
MODE_STATIQUE
[U4.52.04]
MODE_ITER_INV
CALC_FREQ
[U4.52.02]
NORM_MODE
[U4.64.02]
DEFI_FONCTION
[U4.21.02]
DEFI_NAPPE
[U4.21.03]
COMB_SISM_MODAL
[U4.54.04]
5.4 Remarks
The modes are standardized with the generalized mass with 1.
The total answer is obtained by quadratic combination of the modes and a quadratic combination
directions of the excitations.
Code_Aster
®
Version
4.0
Titrate:
SDLL108 “Counts with coffee” of NEUBERT
Date:
08/01/98
Author (S):
P. GUIHOT
Key:
V2.02.108-A
Page:
7/8
Manual of Validation
V2.02 booklet: Linear dynamics of the beams
HI-75/96/051 - Ind A
6
Results of modeling B
6.1 Values
tested
Identification
Reference
Aster
% difference
Displacement:
N17
DX
3.429E-04
3.419E-04
- 0.278
DY
4.364E-06
4.392E-06
0.658
DZ
3.036E-04
3.027E-04
- 0.300
DRX
3.701E-04
3.698E-04
- 0.078
DRY
4.750E-05
4.762E-05
0.253
DRZ
5.110E-04
5.105E-04
- 0.102
Reactions:
N25
FX
1.254E+03
1.253E+03
- 0.072
FY
1.254E+03
1.263E+03
0.706
FZ
1.219E+03
1.219E+03
0.037
MX
3.249E+02
3.245E+02
- 0.132
MY
4.124E+00
4.128E+00
0.104
MZ
3.486E+02
3.482E+02
- 0.133
Efforts:
E3 N17 FX
1.130E+03
1.131E+03
0.062
FY
1.245E+03
1.249E+03
0.351
FZ
1.098E+03
1.098E+03
- 0.007
MX
2.286E+02
2.282E+02
- 0.174
MY
4.125E+00
4.128E+00
0.072
MZ
2.208E+02
2.205E+02
- 0.134
E4 N17 FX
1.881E+02
1.893E+02
0.670
FY
1.042E+03
1.042E+03
- 0.023
FZ
1.311E+02
1.320E+02
0.703
MX
2.286E+02
2.282E+02
- 0.175
MY
2.910E+01
2.918E+01
0.269
MZ
1.860E-01
1.857E-01
- 0.159
E19 N17 FX
2.935E+02
2.966E+02
1.053
FY
6.367E+02
6.390E+02
0.359
FZ
2.653E+02
2.653E+02
0.006
MX
1.860E-01
1.860E-01
0.040
MY
3.231E+01
3.236E+01
0.148
MZ
2.208E+02
2.205E+02
- 0.134
6.2 Remarks
·
Displacements of the corners (N9, N12, N17, N20) are identical,
·
The reactions to the supports (N25, N26, N27, N28) are identical,
·
Efforts generalized in the total reference mark.
6.3 Parameters
of execution
Version: 3.05.02
Machine: CRAY
System: UNICOS
Overall dimension memory: 8 megawords
Time CPU To use: 18.03 seconds
Code_Aster
®
Version
4.0
Titrate:
SDLL108 “Counts with coffee” of NEUBERT
Date:
08/01/98
Author (S):
P. GUIHOT
Key:
V2.02.108-A
Page:
8/8
Manual of Validation
V2.02 booklet: Linear dynamics of the beams
HI-75/96/051 - Ind A
7
Summaries of the results
One obtains a relatively good agreement between the solution calculated with
Aster
and the reference solution
(% of difference lower than 1%), except in modeling A, Depl N5 DY and Réaction N15 FY where
variations reach 1,2%.