Code_Aster
®
Version
6.0
Titrate:
Membrane SSLS116 Chargement of an offset plate
Date:
19/08/02
Author (S):
P. MASSIN, D. NUNEZ GUAJARDO
Key
:
V3.03.116-A
Page:
1/12
Manual of Validation
V3.03 booklet: Linear statics of the plates and hulls
HT-66/02/001/A
Organization (S):
EDF/AMA, CS IF
Manual of Validation
V3.03 booklet: Linear statics of the plates and hulls
Document: V3.03.116
SSLS116 - Membrane loading of a plate
offset
Summary:
This test relates to the offsetting of a plate compared to the plan of the mesh or plan of diagram. The loading
is purely membranous.
The reference is given by a first resolution where a not offset plate is modelized. It validates it
the second calculation where one modelizes a plate offset compared to the plan of the mesh.
Code_Aster
®
Version
6.0
Titrate:
Membrane SSLS116 Chargement of an offset plate
Date:
19/08/02
Author (S):
P. MASSIN, D. NUNEZ GUAJARDO
Key
:
V3.03.116-A
Page:
2/12
Manual of Validation
V3.03 booklet: Linear statics of the plates and hulls
HT-66/02/001/A
1
Problem of reference
1.1 Geometry
One represented here the plate offset compared to the plan of diagram (which is confused here with the plan
inferior of the offset plate).
To avoid overloading the diagram, one does not trace the plate of not offset reference, for
which the plan of diagram is also the average plan.
1.2
Properties of materials
The material constituting plate is characterized by the following data:
EL=20000.Pa ET=20000.Pa EN=20000.Pa
LN = 0.
LT = 0
TN = 0. GLT=2000.Pa GLN=0. GTN=0.
RHO= 1000.kg/m
3
1.3
Boundary conditions and loadings
The L14 mesh is embedded DX=DY=DZ=0.
DRX=DRY=DRZ=0.
One applies the forces to the L12 mesh
FX=1000.N MY=100.N.m
on the offset plate
FX=1000.N
on the not offset plate
These loadings are applied by means of
FORCE_ARETE
of
AFFE_CHAR_MECA
in the plan
of diagram.
Note:
The fact of applying a force FX to the plate offset to the level of the plan of diagram generates
one moment MY which should be compensated for to find itself under conditions purely
membrane on the level of the offset plate.
A4
L14
Plan purifies
A2
L12
A3
A1
Plate reference
not offset
Plate
offset
0.2
Z
y
X
Code_Aster
®
Version
6.0
Titrate:
Membrane SSLS116 Chargement of an offset plate
Date:
19/08/02
Author (S):
P. MASSIN, D. NUNEZ GUAJARDO
Key
:
V3.03.116-A
Page:
3/12
Manual of Validation
V3.03 booklet: Linear statics of the plates and hulls
HT-66/02/001/A
2
Reference solution
2.1
Method of calculation used for the reference solution
Calculation of the membrane type with the not offset plate is used as reference. Nonregression by
report/ratio with the results obtained by this first calculation is checked.
2.2
Results of reference
They are consisted of the values of the field of displacement DX, DY, DZ, DRX, DRY with nodes 66 and 52
(for the DKT and DST) and with the nodes N1 and N16 (for the DKQ and the DSQ) and of the calculation of the frequencies
of the first 4 modes.
2.3
Uncertainty on the solution
Uncertainty is null since it is about the same calculation carried out by two different channels.
2.4 Bibliography
[1]
[R3.07.03]: Elements of plate DKT, DST, DKQ, DSQ and Q4
.
[2]
[R3.07.06]: Processing of offsetting for the elements of plate DKT, DST, DKQ, DSQ
and Q4G.
Code_Aster
®
Version
6.0
Titrate:
Membrane SSLS116 Chargement of an offset plate
Date:
19/08/02
Author (S):
P. MASSIN, D. NUNEZ GUAJARDO
Key
:
V3.03.116-A
Page:
4/12
Manual of Validation
V3.03 booklet: Linear statics of the plates and hulls
HT-66/02/001/A
3 Modeling
With
3.1
Characteristics of modeling
The elements used are elements of plate DKT.
3.2
Characteristics of the mesh
Co-ordinates of the nodes:
Node
Coor_X (m)
Coor_Y (m)
Coor_Z (m)
A1 0. 0. 0.
A2 10. 0. 0.
A3 10. 5. 0.
A4 0. 5. 0.
N66 10. 5. 0.
N52 8. 2. 0.
66 Nodes
100 meshs DKT (TRIA3)
3.3 Functionalities
tested
Controls Key word
factor
AFFE_CARA_ELEM
OFFSETTING
AFFE_CHAR_MECA
FORCE_ARETE
Plan purifies
With
1
With
2
With
3
With
4
offset
Average plan Plates
d=0.1
Code_Aster
®
Version
6.0
Titrate:
Membrane SSLS116 Chargement of an offset plate
Date:
19/08/02
Author (S):
P. MASSIN, D. NUNEZ GUAJARDO
Key
:
V3.03.116-A
Page:
5/12
Manual of Validation
V3.03 booklet: Linear statics of the plates and hulls
HT-66/02/001/A
4
Results of modeling A
4.1 Values
tested
Identification Reference
(m) Aster (m) %
difference
DX (N66)
2.5m 2.5 1.78
E15
DY (N66)
0.m
4.615 E14
4.615 E14
DZ (N66)
0.m
1.158 E12
1.158 E12
DRX (N66)
0.rad
2.76 E13
2.76 E13
DRY (N66)
0.rad
7.86 E14
7.86 E14
DX (N52)
2. 2. 1.49
E08
DY (N52)
0.
3.90 E14
3.90 E14
DZ (N52)
0.
2.72 E13
2.72 E13
DRX (N52)
0.
2.34 E13
2.34 E13
DRY (N52)
0.
1.84 E14
1.84 E14
Frequency 1
Er
mode
1.4439E03Hz
1.4465 E03
0.182
Frequency 2
ème
mode
3.71554 E03
3.7984 E03
2.231
Frequency 3
ème
mode
9.01537 E03
9.1305 E03
1.277
Frequency 4
ème
mode
1.34708 E02
1.4077 E02
4.501
4.2 Parameters
of execution
Version: 6.0.21
Machine: SGI Origin 2000
Overall dimension memory:
16 MW
Time CPU To use:
6 seconds
Code_Aster
®
Version
6.0
Titrate:
Membrane SSLS116 Chargement of an offset plate
Date:
19/08/02
Author (S):
P. MASSIN, D. NUNEZ GUAJARDO
Key
:
V3.03.116-A
Page:
6/12
Manual of Validation
V3.03 booklet: Linear statics of the plates and hulls
HT-66/02/001/A
5 Modeling
B
5.1
Characteristics of modeling
The elements used are elements of plate DKQ.
5.2
Characteristics of the mesh
Co-ordinates of the nodes:
Node
Coor_X (m)
Coor_Y (m)
Coor_Z (m)
A1 0. 0. 0.
A2 10. 0. 0.
A3 10. 5. 0.
A4 0. 5. 0.
N1 1. 5. 0.
N16 8. 2. 0.
66 Nodes
50 meshs DKQ (QUAD4)
5.3 Functionalities
tested
Controls Key word
factor
AFFE_CARA_ELEM
OFFSETTING
AFFE_CHAR_MECA
FORCE_ARETE
Plan purifies
offset
Average plan Plates
d=0.1
Code_Aster
®
Version
6.0
Titrate:
Membrane SSLS116 Chargement of an offset plate
Date:
19/08/02
Author (S):
P. MASSIN, D. NUNEZ GUAJARDO
Key
:
V3.03.116-A
Page:
7/12
Manual of Validation
V3.03 booklet: Linear statics of the plates and hulls
HT-66/02/001/A
6
Results of modeling B
6.1 Values
tested
Identification Reference
(m) Aster (m) %
difference
DX (N1)
2.5m 2.5 3.42
E14
DY (N1)
0.m
2.52 E14
2.52 E14
DZ (N1)
0.m
1.521 E12
1.521 E12
DRX (N1)
0.rad
1.54 E14
1.54 E14
DRY (N1)
0.rad
2.63 E13
2.63 E13
DX (N16)
2. 2. 1.49
E08
DY (N16)
0.
2.03 E14
2.03 E14
DZ (N16)
0.
1.12 E12
1.12 E12
DRX (N16)
0.
4.29 E14
4.29 E14
DRY (N16)
0.
2.19 E13
2.19 E13
Frequency 1
Er
mode
1.44474E03 Hz
1.446841 E03
0.145
Frequency 2
ème
mode
3.69339 E03
3.703038 E03
0.261
Frequency 3
ème
mode
9.04773 E03
9.14141 E03
1.023
Frequency 4
ème
mode
1.33393 E02
1.34463 E02
0.802
6.2 Parameters
of execution
Version: 6.0.21
Machine: SGI Origin 2000
Overall dimension memory:
16 MW
Time CPU To use:
6 seconds
Code_Aster
®
Version
6.0
Titrate:
Membrane SSLS116 Chargement of an offset plate
Date:
19/08/02
Author (S):
P. MASSIN, D. NUNEZ GUAJARDO
Key
:
V3.03.116-A
Page:
8/12
Manual of Validation
V3.03 booklet: Linear statics of the plates and hulls
HT-66/02/001/A
7 Modeling
C
7.1
Characteristics of modeling
The elements used are elements of DST plate.
7.2
Characteristics of the mesh
Co-ordinates of the nodes:
Coor_X node
Coor_Y
Coor_Z
A1 0. 0. 0.
A2 10. 0. 0.
A3 10. 5. 0.
A4 0. 5. 0.
N66 10. 5. 0.
N52 8. 2. 0.
66 Nodes
100 meshs DKT (TRIA3)
7.3 Functionalities
tested
Controls Key word
factor
AFFE_CARA_ELEM
OFFSETTING
AFFE_CHAR_MECA
FORCE_ARETE
Plan purifies
offset
Average plan Plates
d=0.1
Code_Aster
®
Version
6.0
Titrate:
Membrane SSLS116 Chargement of an offset plate
Date:
19/08/02
Author (S):
P. MASSIN, D. NUNEZ GUAJARDO
Key
:
V3.03.116-A
Page:
9/12
Manual of Validation
V3.03 booklet: Linear statics of the plates and hulls
HT-66/02/001/A
8
Results of modeling C
8.1 Values
tested
Identification Reference Aster %
difference
DX (N66)
2.5 2.5
5.73
E14
DY (N66)
0.
6.62 E15
6.62 E15
DZ (N66)
0.
4.48 E12
4.48 E12
DRX (N66)
0.
2.19 E13
2.19 E13
DRY (N66)
0.
6.69 E13
6.69 E13
DX (N52)
2. 2.
1.49
E08
DY (N52)
0.
4.08 E15
4.08 E15
DZ (N52)
0.
3.62 E12
3.62 E12
DRX (N52)
0.
1.60 E13
1.60 E13
DRY (N52)
0.
7.34 E13
7.34 E13
Frequency 1
Er
mode
1.4439E03
1.4465 E03
0.182
Frequency 2
ème
mode
3.71554 E03
3.7984 E03
2.231
Frequency 3
ème
mode
9.01537 E03
9.1305 E03
1.277
Frequency 4
ème
mode
1.34708 E02
1.4077 E02
4.501
8.2 Parameters
of execution
Version: 6.0.21
Machine: SGI Origin 2000
Overall dimension memory:
16 MW
Time CPU To use:
6 seconds
Code_Aster
®
Version
6.0
Titrate:
Membrane SSLS116 Chargement of an offset plate
Date:
19/08/02
Author (S):
P. MASSIN, D. NUNEZ GUAJARDO
Key
:
V3.03.116-A
Page:
10/12
Manual of Validation
V3.03 booklet: Linear statics of the plates and hulls
HT-66/02/001/A
9 Modeling
D
9.1
Characteristics of modeling
The elements used are elements of plate DSQ.
9.2
Characteristics of the mesh
Co-ordinates of the nodes:
Coor_X node
Coor_Y
Coor_Z
A1 0. 0. 0.
A2 10. 0. 0.
A3 10. 5. 0.
A4 0. 5. 0.
N1 1. 5. 0.
N16 8. 2. 0.
66 Nodes
50 meshs DSQ (QUAD4)
9.3 Functionalities
tested
Controls Key word
factor
AFFE_CARA_ELEM
OFFSETTING
AFFE_CHAR_MECA
FORCE_ARETE
Plan purifies
offset
Average plan Plates
d=0.1
Code_Aster
®
Version
6.0
Titrate:
Membrane SSLS116 Chargement of an offset plate
Date:
19/08/02
Author (S):
P. MASSIN, D. NUNEZ GUAJARDO
Key
:
V3.03.116-A
Page:
11/12
Manual of Validation
V3.03 booklet: Linear statics of the plates and hulls
HT-66/02/001/A
10 Results of modeling D
10.1 Values
tested
Identification Reference Aster %
difference
DX (N1)
2.5 2.5
1.33
E14
DY (N1)
0.
2.61 E14
2.61 E14
DZ (N1)
0.
6.26 E13
6.26 E13
DRX (N1)
0.
8.18 E15
8.18 E15
DRY (N1)
0.
9.57 E14
9.57 E14
DX (N16)
2. 2.
1.49
E08
DY (N16)
0.
1.79 E14
1.79 E14
DZ (N16)
0.
3.97 E13
3.97 E13
DRX (N16)
0.
1.71 E14
1.71 E14
DRY (N16)
0.
9.03 E14
9.03 E14
Frequency 1
Er
mode
1.44474E03
1.446841 E03
0.145
Frequency 2
ème
mode
3.69339 E03
3.703038 E03
0.261
Frequency 3
ème
mode
9.04773 E03
9.14141 E03
1.023
Frequency 4
ème
mode
1.33393 E02
1.34463 E02
0.802
10.2 Parameters
of execution
Version: 6.0.21
Machine: SGI Origin 2000
Overall dimension memory:
16 MW
Time CPU To use:
6 seconds
Code_Aster
®
Version
6.0
Titrate:
Membrane SSLS116 Chargement of an offset plate
Date:
19/08/02
Author (S):
P. MASSIN, D. NUNEZ GUAJARDO
Key
:
V3.03.116-A
Page:
12/12
Manual of Validation
V3.03 booklet: Linear statics of the plates and hulls
HT-66/02/001/A
11 Summary of the results
For each modeling, DKT, DKQ, DST and DSQ, results found for the offset plate
coincide with the reference solution.