Code_Aster
®
Version
4.0
Titrate:
Free SDLS102 Vibrations of a vane of compression
Date:
01/12/98
Author (S):
P. MASSIN, A. LAULUSA
Key:
V2.03.102-A
Page:
1/6
Manual of Validation
V2.03 booklet: Linear dynamics of the hulls and the plates
HI-75/98/040 - Ind A
Organization (S):
EDF/IMA/MN, SAMTECH
Manual of Validation
V2.03 booklet: Linear dynamics of the hulls and the plates
Document: V2.03.102
SDLS102 - Free vibrations of a vane of
compression
Summary:
This test makes it possible to validate the calculation of the Eigen frequencies of a vane of compression by using the control
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.
Code_Aster
®
Version
4.0
Titrate:
Free SDLS102 Vibrations of a vane of compression
Date:
01/12/98
Author (S):
P. MASSIN, A. LAULUSA
Key:
V2.03.102-A
Page:
2/6
Manual of Validation
V2.03 booklet: Linear dynamics of the hulls and the plates
HI-75/98/040 - Ind A
1
Problem of reference
1.1 Geometry
L
X
Y
R
m
B
D
H
C
With
It is about a cylindrical panel:
·
Length: L = 0.3048 m,
·
Average radius: R
m
= 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/m
3
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
Code_Aster
®
Version
4.0
Titrate:
Free SDLS102 Vibrations of a vane of compression
Date:
01/12/98
Author (S):
P. MASSIN, A. LAULUSA
Key:
V2.03.102-A
Page:
3/6
Manual of Validation
V2.03 booklet: Linear dynamics of the hulls and the plates
HI-75/98/040 - Ind A
2
Reference solution
2.1
Method of calculation used for the reference solution
The reference solution corresponds to 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.
Code_Aster
®
Version
4.0
Titrate:
Free SDLS102 Vibrations of a vane of compression
Date:
01/12/98
Author (S):
P. MASSIN, A. LAULUSA
Key:
V2.03.102-A
Page:
4/6
Manual of Validation
V2.03 booklet: Linear dynamics of the hulls and the plates
HI-75/98/040 - Ind A
3 Modeling
With
3.1
Characteristics of modeling
C
Z
X
Y
With
D
B
Hull 3D MEC3QU9H
3.2
Characteristics of the mesh
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
MODELING
“COQUE_3D”
[U4.22.01]
AFFE_CARA_ELEM
HULL
THICK
[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 the option
“ADJUSTS”
under the key word
factor
CALC_FREQ
control
MODE_ITER_INV
.
4
Results of modeling A
4.1 Values
tested
(Frequencies in Hertz)
Identification
n° mode
Reference
Aster
% difference
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
Overall dimension memory:
16 megawords
Time CPU To use:
15.8 seconds
Code_Aster
®
Version
4.0
Titrate:
Free SDLS102 Vibrations of a vane of compression
Date:
01/12/98
Author (S):
P. MASSIN, A. LAULUSA
Key:
V2.03.102-A
Page:
5/6
Manual of Validation
V2.03 booklet: Linear dynamics of the hulls and the plates
HI-75/98/040 - Ind A
5 Modeling
B
5.1
Characteristics of modeling
C
Z
X
Y
With
D
B
Hull 3D MEC3TR7H
5.2
Characteristics of the mesh
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
MODELING
“COQUE_3D”
[U4.22.01]
AFFE_CARA_ELEM
HULL
THICK
[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 in Hertz)
Identification
n° mode
Reference
Aster
% difference
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
Overall dimension memory:
16 megawords
Time CPU To use:
108.7 seconds
Code_Aster
®
Version
4.0
Titrate:
Free SDLS102 Vibrations of a vane of compression
Date:
01/12/98
Author (S):
P. MASSIN, A. LAULUSA
Key:
V2.03.102-A
Page:
6/6
Manual of Validation
V2.03 booklet: Linear dynamics of the hulls and the plates
HI-75/98/040 - Ind A
7
Summary of the results
Resulted are satisfactory. But the mesh with elements MEC3TR7H must be fine to have
the same level of error as that obtained with elements MEC3QU9H.