Code_Aster ®
Version
5.0
Titrate:
SDLS501 - Vibrations free of a corrugated sheet


Date:
29/10/01
Author (S):
P. MASSIN, F. LEBOUVIER Key
:
V2.03.501-A Page:
1/6

Organization (S): EDF/MTI/MN, DeltaCAD

Handbook of Validation
V2.03 booklet: Linear dynamics of the hulls and plates
Document: V2.03.501

SDLS501 - Vibrations free 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.
Handbook of Validation
V2.03 booklet: Linear dynamics of the hulls and plates
HI-75/01/010/A

Code_Aster ®
Version
5.0
Titrate:
SDLS501 - Vibrations free of a corrugated sheet


Date:
29/10/01
Author (S):
P. MASSIN, F. LEBOUVIER Key
:
V2.03.501-A Page:
2/6

1
Problem of reference

1.1 Geometry

y
B
D
With
C
X
X
Z
y
sight of “crosses”


R
R
With
C
X
X
R
R


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.
1 H
cos = 1

4 R

1.2 Properties

material

The properties of material constituting the plate are:

E = 2.E+11 Pa
Young modulus
= 0.3
Poisson's ratio
= 7800. Kg/m3 Masses
voluminal

1.3
Boundary conditions and loadings

No boundary condition: analyze dynamic into free-free

1.4 Conditions
initial

Without object
Handbook of Validation
V2.03 booklet: Linear dynamics of the hulls and plates
HI-75/01/010/A

Code_Aster ®
Version
5.0
Titrate:
SDLS501 - Vibrations free of a corrugated sheet


Date:
29/10/01
Author (S):
P. MASSIN, F. LEBOUVIER Key
:
V2.03.501-A Page:
3/6

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.
Handbook of Validation
V2.03 booklet: Linear dynamics of the hulls and plates
HI-75/01/010/A

Code_Aster ®
Version
5.0
Titrate:
SDLS501 - Vibrations free of a corrugated sheet


Date:
29/10/01
Author (S):
P. MASSIN, F. LEBOUVIER Key
:
V2.03.501-A Page:
4/6

3 Modeling
With

3.1
Characteristics of modeling

Modeling D_PLAN
y
4
0
X
20


3.2 Characteristics

grid

A number of nodes: 289

A number of meshs and types: 80 QUAD8

3.3 Functionalities
tested

Commands Key word
factor
Key word
AFFE_MODELE
AFFE
MODELISATION: “D_PLAN”
CALC_MATR_ELEM

OPTION: “RIGI_MECA”
OPTION: “MASS_MECA”
MODE_ITER_SIMULT CALC_FREQ
METHODE:
“TRI_DIAG”
OPTION: “BANDE”
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

Obstruction memory: 16 megabytes
Time CPU To use: 2.19 seconds
Handbook of Validation
V2.03 booklet: Linear dynamics of the hulls and plates
HI-75/01/010/A

Code_Aster ®
Version
5.0
Titrate:
SDLS501 - Vibrations free of a corrugated sheet


Date:
29/10/01
Author (S):
P. MASSIN, F. LEBOUVIER Key
:
V2.03.501-A Page:
5/6

5 Modeling
B

5.1
Characteristics of modeling

Modeling COQUE_D_PLAN
With
5
C
5
5
5


5.2
Characteristics of the grid

A number of nodes: 41

A number of meshs and types: 20 SEG3

5.3 Functionalities
tested

Commands Key word
factor Word-key
AFFE_MODELE AFFE
MODELISATION
:
“COQUE_D_PLAN”
AFFE_CARA_ELEM HULL
EPAIS
MODI_METRIQUE: “OUI”
CALC_MATR_ELEM

OPTION: “RIGI_MECA”
OPTION: “MASS_MECA”
MODE_ITER_SIMULT
CALC_FREQ
OPTION: “BANDE”
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

Obstruction memory: 16 megabytes
Time CPU To use: 1.68 seconds
Handbook of Validation
V2.03 booklet: Linear dynamics of the hulls and plates
HI-75/01/010/A

Code_Aster ®
Version
5.0
Titrate:
SDLS501 - Vibrations free of a corrugated sheet


Date:
29/10/01
Author (S):
P. MASSIN, F. LEBOUVIER Key
:
V2.03.501-A Page:
6/6

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%.
Handbook of Validation
V2.03 booklet: Linear dynamics of the hulls and plates
HI-75/01/010/A

Outline document