Code_Aster
®
Version
5.0
Titrate:
SDLS501 - Free vibrations of a corrugated sheet
Date:
29/10/01
Author (S):
P. MASSIN, F. LEBOUVIER
Key
:
V2.03.501-A
Page:
1/6
Manual of Validation
V2.03 booklet: Linear dynamics of the hulls and plates
HI-75/01/010/A
Organization (S):
EDF/MTI/MN, DeltaCAD
Manual of Validation
V2.03 booklet: Linear dynamics of the hulls and plates
Document: V2.03.501
SDLS501 - Free vibrations of a corrugated sheet
Summary:
This test represents a calculation in dynamic modal analysis of an iron corrugated into free-free. This test allows
to validate modeling finite elements COQUE_D_PLAN. There is a test of the same structure in statics
non-linear material (SSNV115) [V6.04.115].
The frequencies and the modes obtained are compared with a reference solution obtained with Code_Aster
starting from a modeling D_PLAN.
Code_Aster
®
Version
5.0
Titrate:
SDLS501 - Free vibrations of a corrugated sheet
Date:
29/10/01
Author (S):
P. MASSIN, F. LEBOUVIER
Key
:
V2.03.501-A
Page:
2/6
Manual of Validation
V2.03 booklet: Linear dynamics of the hulls and plates
HI-75/01/010/A
1
Problem of reference
1.1 Geometry
y
With
B
C
D
X
Z
X
y
With
X
C
R
R
R
R
X
sight of “crosses”
Characteristics of the hull:
·
thickness H = 0.05m,
·
radius of curvature R = 1.m
·
width = AB = CD = 0.1m,
·
the angle
is selected so that the surface upper of the hull than item X is with
(y = 0), i.e. aligned with A and C.
cos
=
-
1 14 hR
1.2 Properties
material
The properties of material constituting the plate are:
E
= 2.E+11 AP
Young modulus
= 0.3
Poisson's ratio
= 7800. Kg/m
3
Mass
voluminal
1.3
Boundary conditions and loadings
No boundary condition: analyze dynamic into free-free
1.4 Conditions
initial
Without object
Code_Aster
®
Version
5.0
Titrate:
SDLS501 - Free vibrations of a corrugated sheet
Date:
29/10/01
Author (S):
P. MASSIN, F. LEBOUVIER
Key
:
V2.03.501-A
Page:
3/6
Manual of Validation
V2.03 booklet: Linear dynamics of the hulls and plates
HI-75/01/010/A
2
Reference solution
2.1
Method of calculation used for the reference solution
Modeling A (D_PLAN) is used as reference for modeling COQUE_D_PLAN.
2.2
Results of reference
The first three nonnull Eigen frequencies.
Frequency mode 4:
658.24 Hz
Frequency mode 5:
1749.35 Hz
Frequency mode 6:
3225.42 Hz
2.3
Uncertainties on the solution
·
not regression for modeling A
·
< 2% for modeling B
2.4 References
bibliographical
None.
Code_Aster
®
Version
5.0
Titrate:
SDLS501 - Free vibrations of a corrugated sheet
Date:
29/10/01
Author (S):
P. MASSIN, F. LEBOUVIER
Key
:
V2.03.501-A
Page:
4/6
Manual of Validation
V2.03 booklet: Linear dynamics of the hulls and plates
HI-75/01/010/A
3 Modeling
With
3.1
Characteristics of modeling
X
0
y
20
4
Modeling D_PLAN
3.2 Characteristics
mesh
A number of nodes: 289
A number of meshs and types: 80 QUAD8
3.3 Functionalities
tested
Controls Key word
factor
Key word
AFFE_MODELE
AFFE
MODELING: “D_PLAN”
CALC_MATR_ELEM
OPTION: “RIGI_MECA”
OPTION: “MASS_MECA”
MODE_ITER_SIMULT CALC_FREQ
METHOD:
“TRI_DIAG”
OPTION: “TAPE”
FREQ: (500. 5000.)
4
Results of modeling A
4.1 Values
tested
Identification Moments Reference
Aster %
difference
Frequency mode 4
658.24
658.24
0.
Frequency mode 5
1749.35
1749.35
0.
Frequency mode 6
3225.42
3225.42
0.
4.2 Remarks
4.3 Parameters
of execution
Version:
NEW 5.04.17
Machine:
SGI-Origin2000 R12000
Overall dimension memory: 16 megabytes
Time CPU To use: 2.19 seconds
Code_Aster
®
Version
5.0
Titrate:
SDLS501 - Free vibrations of a corrugated sheet
Date:
29/10/01
Author (S):
P. MASSIN, F. LEBOUVIER
Key
:
V2.03.501-A
Page:
5/6
Manual of Validation
V2.03 booklet: Linear dynamics of the hulls and plates
HI-75/01/010/A
5 Modeling
B
5.1
Characteristics of modeling
5
5
5
5
With
C
Modeling COQUE_D_PLAN
5.2
Characteristics of the mesh
A number of nodes: 41
A number of meshs and types: 20 SEG3
5.3 Functionalities
tested
Controls Key word
factor Key word
AFFE_MODELE AFFE
MODELING
:
“COQUE_D_PLAN”
AFFE_CARA_ELEM HULL
THICK
MODI_METRIQUE: “YES”
CALC_MATR_ELEM
OPTION: “RIGI_MECA”
OPTION: “MASS_MECA”
MODE_ITER_SIMULT
CALC_FREQ
OPTION: “TAPE”
FREQ: (500. 5000.)
6
Results of modeling B
6.1 Values
tested
Identification Moments Reference
Aster %
difference
Frequency mode 4
658.24
660.51
0.345
Frequency mode 5
1749.35
1759.09
0.557
Frequency mode 6
3225.42
3222.28
0.097
6.2 Remarks
6.3 Parameters
of execution
Version:
NEW 5.04.17
Machine:
SGI-Origin2000 R12000
Overall dimension memory: 16 megabytes
Time CPU To use: 1.68 seconds
Code_Aster
®
Version
5.0
Titrate:
SDLS501 - Free vibrations of a corrugated sheet
Date:
29/10/01
Author (S):
P. MASSIN, F. LEBOUVIER
Key
:
V2.03.501-A
Page:
6/6
Manual of Validation
V2.03 booklet: Linear dynamics of the hulls and plates
HI-75/01/010/A
7
Summary of the results
This case-test made it possible to test modeling COQUE_D_PLAN. The results obtained compared has
a solution resulting from a modeling D_PLAN are very good, the maximum change observed is 0.5%.