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Version

4.0

Titrate:

Embed-free SDLL23 Beam subjected to a seism

Date:

07/01/98

Author (S):

P. GUIHOT

Key:

V2.02.023-B

Page:

1/6

Manual of Validation

V2.02 booklet: Linear dynamics of the beams

HI-785/96/051 - Ind A

Organization (S):

EDF/EP/AMV

Manual of Validation
V2.02 booklet: Linear dynamics of the beams
V2.02.023 document

SDLL23 - Subjected embed-free beam
with a seism (spectral answer)

Summary

This one-way problem consists in carrying out a spectral seismic analysis of a free fixed beam
fitted 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, the operators of preprocessing are tested

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.

Code_Aster

Version

4.0

Titrate:

Embed-free SDLL23 Beam subjected to a seism

Date:

07/01/98

Author (S):

P. GUIHOT

Key:

V2.02.023-B

Page:

2/6

Manual of Validation

V2.02 booklet: Linear dynamics of the beams

HI-785/96/051 - Ind A

Problem of reference

1.1 Geometry

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

To = 78.1 10

Moments of inertia

= 5696 10

= 2003 10

1.2

Material properties

Beam

E = 2.10

= 0 kg/m3

(mass of the null beam)

Mass out of B

= 50000 kg

Mass out of C

= 5000 kg

1.3

Boundary conditions and loadings

Not A embedded

Spectrum of oscillator in acceleration applied in A in the three directions.

0.13

2.4

0.5

5.0

0.05

Code_Aster

Version

4.0

Titrate:

Embed-free SDLL23 Beam subjected to a seism

Date:

07/01/98

Author (S):

P. GUIHOT

Key:

V2.02.023-B

Page:

3/6

Manual of Validation

V2.02 booklet: Linear dynamics of the beams

HI-785/96/051 - Ind A

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 Mechanics Applied - University of Frank County Besancon (France).
Guide VPCS to be appeared.

Code_Aster

Version

4.0

Titrate:

Embed-free SDLL23 Beam subjected to a seism

Date:

07/01/98

Author (S):

P. GUIHOT

Key:

V2.02.023-B

Page:

4/6

Manual of Validation

V2.02 booklet: Linear dynamics of the beams

HI-785/96/051 - Ind A

3 Modeling

With

3.1

Characteristics of modeling

With

Right beam modelized by 3 nodes and 2

SEG2

of type

POU_D_E

Mass modelized by elements

discrete

M_T_N

3.2

Characteristics of the mesh

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

Controls

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”

Code_Aster

Version

4.0

Titrate:

Embed-free SDLL23 Beam subjected to a seism

Date:

07/01/98

Author (S):

P. GUIHOT

Key:

V2.02.023-B

Page:

5/6

Manual of Validation

V2.02 booklet: Linear dynamics of the beams

HI-785/96/051 - Ind A

Results of modeling A

4.1 Values

tested

Identification

Reference

Aster

% difference

Eigen frequencies

0.24691

0.24672

- 0.07

0.41666

0.41606

- 0.14

7.4074

7.3932

- 0.19

12.5

12.467

- 0.26

27.777

27.507

- 0.97

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 10

1.240 10

0.790

WITH DZ

2.7 10

2.718 10

0.698

WITH DRY

2.56 10

2.626 10

2.613

WITH DRZ

5.91 10

5.969 10

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 10

4.166 10

1.121

WITH DY

1.227 10

1.240 10

1.118

WITH DZ

7.96 10

7.816 10

- 1.807

WITH DRY

4.49 10

4.481 10

- 0.191

WITH DRZ

5.90 10

5.969 10

1.176

Answer (

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 10

3.495 10

1.919

WITH DRZ

5.91 10

5.969 10

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

0.0

C DZ

0.767

0.0

REAC A DX

4.18E+5

4.169E+5

- 0.24

Code_Aster

Version

4.0

Titrate:

Embed-free SDLL23 Beam subjected to a seism

Date:

07/01/98

Author (S):

P. GUIHOT

Key:

V2.02.023-B

Page:

6/6

Manual of Validation

V2.02 booklet: Linear dynamics of the beams

HI-785/96/051 - Ind A

WITH DY

12.40E+5

0.0

WITH DZ

7.816E+5

0.0

WITH DRY

4.481E+5

- 0.01

WITH DRZ

5.969E+5

0.0

Response on 6 modes (

DSC

, duration 5

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

0.000

C DZ

7.673 10

- 1

7.673 10

- 1

0.000

REAC A DX

4.183 10

4.171 10

- 0.290

WITH DY

1.240 10

- 0.001

WITH DZ

7.816 10

- 0.002

WITH DRY

4.483 10

4.482 10

- 0.027

WITH DRZ

5.971 10

5.970 10

- 0.018

4.2 Remarks

Value of the spectrum (interpolation):

Mode

Spectrum

2.972

5.058

25.

15.74

10.

Stamp correlation CQC:

1.38E - 3

5.05E - 6

2.27E - 6

6.85E - 7

3.65E - 7

1.13E - 5

5.05E - 6

1.51E - 6

8.04E - 7

1.38E - 3

1.64E - 4

7.48E - 5

5.61E - 4

2.04E - 4

2.21E - 3

4.3 Parameters

of execution

Version: 3.05.02
Machine: CRAY C90

System: UNICOS 8

Overall dimension memory: 8 megawords

Time CPU To use: 14.43 seconds

Summary of the results

Perfect agreement of the results

Aster

with the card of validation suggested by the commission VPCS which

indicate a tolerance of 2% on the values of reference.