Code_Aster ®
Version
4.0
Titrate:
Free SDLS102 Vibrations of a paddle of compression
Date:
01/12/98
Author (S):
P. MASSIN, A. LAULUSA
Key:
V2.03.102-A Page:
1/6
Organization (S): EDF/IMA/MN, SAMTECH
Handbook of Validation
V2.03 booklet: Linear dynamics of the hulls and the plates
Document: V2.03.102
SDLS102 - Vibrations free of a paddle of
compression
Summary:
This test makes it possible to validate the calculation of the Eigen frequencies of a paddle of compression by using the command
MODE_ITER_INV [U4.52.01].
Modelings correspond to the use of the elements “COQUE_3D” MEC3QU9H (modeling A) and
MEC3TR7H (modeling B).
The reference solutions are experimental results. The variation enters the numerical results and them
experimental values does not exceed 4,5% for two modelings.
Handbook of Validation
V2.03 booklet: Linear dynamics of the hulls and the plates
HI-75/98/040 - Ind A

Code_Aster ®
Version
4.0
Titrate:
Free SDLS102 Vibrations of a paddle of compression
Date:
01/12/98
Author (S):
P. MASSIN, A. LAULUSA
Key:
V2.03.102-A Page:
2/6
1
Problem of reference
1.1 Geometry
B
D
L
With
C
H
Rm
X
Y
It is about a cylindrical panel:
· Length: L = 0.3048 m,
· Average radius: Rm = 0.6096,
· Length of arc: 0.3042 m,
· Thickness: H = 0.003048 Mr.
1.2
Properties of material
The material is homogeneous, isotropic, elastic linear. The elastic coefficients are:
E = 206.850. MPa
= 0.3
Density: = 7857,2 kg/m3
Coefficient of the deformations of shearing action: A_CIS = 0.8333
1.3
Boundary conditions and loadings
The structure is embedded at end data base
Handbook of Validation
V2.03 booklet: Linear dynamics of the hulls and the plates
HI-75/98/040 - Ind A

Code_Aster ®
Version
4.0
Titrate:
Free SDLS102 Vibrations of a paddle of compression
Date:
01/12/98
Author (S):
P. MASSIN, A. LAULUSA
Key:
V2.03.102-A Page:
3/6
2
Reference solution
2.1
Method of calculation used for the reference solution
The reference solution corresponds to the experimental measurements given in [bib1].
2.2
Results of reference
The first six measured Eigen frequencies.
Number of the mode
Experimental values
1
85.6
2
134.5
3
259
4
351
5
395
6
531
2.3 References
bibliographical
[1]
J.L. BATOZ, G. DHATT: Modeling of the structures by finite elements - Volume 3 hulls,
1992 HERMES p 467 to 470.
Handbook of Validation
V2.03 booklet: Linear dynamics of the hulls and the plates
HI-75/98/040 - Ind A

Code_Aster ®
Version
4.0
Titrate:
Free SDLS102 Vibrations of a paddle of compression
Date:
01/12/98
Author (S):
P. MASSIN, A. LAULUSA
Key:
V2.03.102-A Page:
4/6
3 Modeling
With
3.1
Characteristics of modeling
B
Hull 3D MEC3QU9H
With
Z
X
D
C
Y
3.2
Characteristics of the grid
A number of nodes: 169, a Number of meshs and types: 36 QUAD9
3.3 Functionalities
tested
Order
Key word factor
Key word
Argument
Keys
AFFE_MODELE
AFFE
MODELISATION
“COQUE_3D”
[U4.22.01]
AFFE_CARA_ELEM
COQUE
EPAIS
[U4.24.01]
A_CIS
AFFE_CHAR_MECA
DDL_IMPO
[U4.25.01]
MACRO_MATR_ASSE
MATR_ASSE
[U4.31.02]
MODE_ITER_INV
CALC_FREQ
[U4.52.01]
One seeks the frequencies in the interval (80., 570.) by using option “AJUSTE” under the key word
factor CALC_FREQ of command MODE_ITER_INV.
4
Results of modeling A
4.1 Values
tested
(Frequencies as Hertz)
Identification
Reference
Aster
% difference
n° mode
1
85.6
85.85
0.302
2
134.5
138.56
3.021
3
259
246.92
­ 4.664
4
351
342.71
­ 2.361
5
395
386.66
­ 2.112
6
531
531.59
0.112
4.2 Parameters
of execution
Version: 4.00.14
Machine: C90
System:
UNICOS 8.0
Obstruction memory:
16 megawords
Time CPU To use:
15.8 seconds
Handbook of Validation
V2.03 booklet: Linear dynamics of the hulls and the plates
HI-75/98/040 - Ind A

Code_Aster ®
Version
4.0
Titrate:
Free SDLS102 Vibrations of a paddle of compression
Date:
01/12/98
Author (S):
P. MASSIN, A. LAULUSA
Key:
V2.03.102-A Page:
5/6
5 Modeling
B
5.1
Characteristics of modeling
B
Hull 3D MEC3TR7H
With
Z
X
D
C
Y
5.2
Characteristics of the grid
A number of nodes: 913, a Number of meshs and types: 288 TRIA7
5.3 Functionalities
tested
Order
Key word factor
Key word
Argument
Keys
AFFE_MODELE
AFFE
MODELISATION
“COQUE_3D”
[U4.22.01]
AFFE_CARA_ELEM
COQUE
EPAIS
[U4.24.01]
A_CIS
AFFE_CHAR_MECA
DDL_IMPO
[U4.25.01]
MACRO_MATR_ASSE
MATR_ASSE
[U4.31.02]
MODE_ITER_INV
CALC_FREQ
[U4.52.01]
6
Results of modeling B
6.1 Values
tested
(Frequencies as Hertz)
Identification
Reference
Aster
% difference
n° mode
1
85.6
86.06
0.534
2
134.5
138.68
3.112
3
259
248
­ 4.246
4
351
344.52
­ 1.845
5
395
390.62
­ 1.108
6
531
533.2
0.415
6.2 Parameters
of execution
Version: 4.00.14
Machine: C90
System:
UNICOS 8.0
Obstruction memory:
16 megawords
Time CPU To use:
108.7 seconds
Handbook of Validation
V2.03 booklet: Linear dynamics of the hulls and the plates
HI-75/98/040 - Ind A

Code_Aster ®
Version
4.0
Titrate:
Free SDLS102 Vibrations of a paddle of compression
Date:
01/12/98
Author (S):
P. MASSIN, A. LAULUSA
Key:
V2.03.102-A Page:
6/6
7
Summary of the results
Resulted are satisfactory. But the grid with elements MEC3TR7H must be fine to have
the same level of error as that obtained with elements MEC3QU9H.
Handbook of Validation
V2.03 booklet: Linear dynamics of the hulls and the plates
HI-75/98/040 - Ind A