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Titrate:
SSLS114 - Non regression on cylindrical quarter of binding ring
Date:
03/11/03
Author (S):
P. Key MASSIN, J.R. LEVESQUE
:
V3.03.114-A Page:
1/28
Organization (S): EDF-R & D/AMA
Handbook of Validation
V3.03 booklet: Linear statics of the plates and hulls
Document: V3.03.114
SSLS114 - Non regression on quarter of ring
cylindrical
Summary:
It is about a test of mechanics in linear statics.
The goal is to test the setting under pressure of a cylindrical quarter of binding ring with the elements of hull and of
plate.
Handbook of Validation
V3.03 booklet: Linear statics of the plates and hulls
HT-66/03/008/A
Code_Aster ®
Version
6.5
Titrate:
SSLS114 - Non regression on cylindrical quarter of binding ring
Date:
03/11/03
Author (S):
P. Key MASSIN, J.R. LEVESQUE
:
V3.03.114-A Page:
2/28
1
Problem of reference
1.1
Properties of materials
E = 200.000 MPa
= 0.3
3
=
.
1234 kg/m for modelings I, J and K.
1.2 Characteristics
geometrical
One notes:
·
R = 0 975
.
m the interior radius of the cylinder;
1
·
R = 1025
.
m the radius external of the cylinder;
2
· R = 1 m the average radius of the cylinder equal to the half the sum of the two preceding radii;
· E = 0 0
. 5 m the radial thickness of the cylinder;
· H = 0 5
. m the height of the cylinder.
1.3
Boundary conditions and loadings mechanical
Conditions of Dirichlet
DDL_IMPO, the nodes blocked depend on modeling.
pressure on the elements of hull and plate: P = 10 MPa on the cylinder
PRES_REP
FORCE_COQUE (real or given by a function)
Handbook of Validation
V3.03 booklet: Linear statics of the plates and hulls
HT-66/03/008/A
Code_Aster ®
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Titrate:
SSLS114 - Non regression on cylindrical quarter of binding ring
Date:
03/11/03
Author (S):
P. Key MASSIN, J.R. LEVESQUE
:
V3.03.114-A Page:
3/28
2
Reference solution
Analytical solution.
2.1
Results of reference
Displacement of the average layer
Constraints of the average layer, layers superior and inferior.
In modelings I, J and K, one calculates the mass, the co-ordinates of the center of gravity and them
terms of the matrix of inertia. The analytical expressions are given in documentation
[R3.07.02].
2.1.1 Method of calculation used for the reference solution in displacements and
constraints
Into incompressible:
B
U
=
(1+)
a2 b2
R
R
with B =
P
2
2
U = U
E
= 0
(B - has)
Z
B
rr = - r2
B
= +
R
2
R = zz = 0
a2
b2
J
= P
1
rr
-
b2 - a2
r2
a2
b2
J = P
1+
b2 - a2
r2
R = 0
a2
= 2 P
zz
b2 - a2
Passage in the Cartesian system:
2
2
xx
= rr cos + sin - 2 R sin cos
2
2
yy
= rr sin + cos + 2 R sin cos
2
2
xy
= rr sin cos - sin cos - 2 R (cos sin)
Handbook of Validation
V3.03 booklet: Linear statics of the plates and hulls
HT-66/03/008/A
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Titrate:
SSLS114 - Non regression on cylindrical quarter of binding ring
Date:
03/11/03
Author (S):
P. Key MASSIN, J.R. LEVESQUE
:
V3.03.114-A Page:
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2.1.2 Determination of the masses, center of gravity and tensor of inertia
For modeling I of hull type of revolution around an axis OZ
· the mass is worth: M = H (R2 - R2) 2
;
2
1
= H
er
X 0
G
· the co-ordinates of the center of gravity are: y
=
0
;
G
Z H/
2
G
· the tensor of inertia compared to O is worth:
MR2
1 E
M
1
[+
2
()] +
H2
0
0
I
I
I
2
4 R
3
xx
xy
xz
MR2
1 E
M
2
2
I
I
I =
0
1
[+ ()] +
H
0
xy
yy
yz
2
4 R
3
I
I
I
1
xz
yz
zz
E
0
0
MR2 1
[+
2
()
]
4 R
· the tensor of inertia compared to G is worth:
MR2
1 E
M
1
[+
2
()] +
H2
0
0
I
I
I
2
4 R
12
xx
xy
xz
MR2
1 E
M
2
2
I
I
I =
0
1
[+ ()] +
H
0
xy
yy
yz
2
4 R
12
I
I
I
1
xz
yz
zz
E
0
0
MR2 1
[+
2
()
]
4 R
For modelings J and K where the trace of a quarter of cylinder of cross-section around an axis OZ on one
plan perpendicular to this axis is represented
(R
)
1 + R2
· the mass per unit height is worth: M =
E = Re;
2
2
2
2
1 E 2
X
R
1
[+
()
]
·
G
12 R
the co-ordinates of the center of gravity are:
=
y
2
1 E
G
R 1
[+
2
()]
12 R
Handbook of Validation
V3.03 booklet: Linear statics of the plates and hulls
HT-66/03/008/A
Code_Aster ®
Version
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Titrate:
SSLS114 - Non regression on cylindrical quarter of binding ring
Date:
03/11/03
Author (S):
P. Key MASSIN, J.R. LEVESQUE
:
V3.03.114-A Page:
5/28
· the tensor of inertia compared to O is worth:
M
1
2
2
2
E
M
1
2
E
R 1
[+
]
R 1
[
]
0
2
4
+
4
I
I
I
R
R
xx
xy
xz
M
1
2
2
2
E
M
1
2
E
I
I
I =
R 1
[+
]
R 1
[
]
0
xy
yy
yz
4 R
+
2
4 R
I
I
I
xz
yz
zz
1
2
2
E
0
0
MR. 1
[+
]
4 R
· the tensor of inertia compared to G is worth:
M
1
2
2
2
E
M
1
2
2
E
R 1
[+
] My
R 1
[
] MX y
0
G
G G
2
4 -
+
4 -
I
I
I
R
R
xx
xy
xz
M
1
2
2
2
E
M
1
2
E
I
I
I =
R 1
[+
] MX y
R 1
[
] Mx2
0
xy
yy
yz
4 R
G G
-
+
2
4 R
G
-
I
I
I
xz
yz
zz
1
2
2
E
0
0
MR. 1
[+
] M (x2
y2)
4 R
G
-
+ G
Note:
E
In practice, one neglects the terms in () 2 in these expressions.
R
Handbook of Validation
V3.03 booklet: Linear statics of the plates and hulls
HT-66/03/008/A
Code_Aster ®
Version
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Titrate:
SSLS114 - Non regression on cylindrical quarter of binding ring
Date:
03/11/03
Author (S):
P. Key MASSIN, J.R. LEVESQUE
:
V3.03.114-A Page:
6/28
3 Modeling
With
3.1
Characteristics of the grid
Pa
PB
PC
PD
Co-ordinates of the points:
GROUP_NO
Coor_x Coor_y
Coor_z
Pa
- 1.
0.
5.0E-01
PB
- 1.
0.
0.
PC
0.
- 1.
5.0E-01
PD
0.
- 1.
0.
Characteristics of the elements:
Types of meshs:
24 COQUE_3D
24
TRIA7
Boundary conditions:
Group meshs AB:
- displacement following the axis Y: DY = 0
- rotation around axis X: DRX = 0
- rotation around axis Z: DRZ = 0
Group meshs CD:
- displacement following axis X: DX = 0
- rotation around the axis Y: DRY = 0
- rotation around axis Z: DRZ = 0
Group nodes PB:
- displacement following axis Z: DZ = 0
with AB the group of meshs connecting Pa and PB
and CD that connecting PC and PD
3.2
Functionalities tested
Commands Word
key
AFFE_CHAR_MECA PRES_REP
FORCE_COQUE
AFFE_CHAR_MECA_F FORCE_COQUE
Handbook of Validation
V3.03 booklet: Linear statics of the plates and hulls
HT-66/03/008/A
Code_Aster ®
Version
6.5
Titrate:
SSLS114 - Non regression on cylindrical quarter of binding ring
Date:
03/11/03
Author (S):
P. Key MASSIN, J.R. LEVESQUE
:
V3.03.114-A Page:
7/28
4
Results of modeling A
4.1 Values
tested
In a systematic way, one takes the values of displacements and the constraints on node Pa
Key word
Identification
Reference
Aster Difference
PRES_REP
Displacements
Average layer
9.81907 1010
9.49753 1010
3.275%
Constraints (SIXX)
Average layer
194.93754
196.22121
0.659%
Higher layer
200.125
248.5679
24.206%
Lower layer
190.125
143.8745
24.326%
FORCE_COQUE
Displacements
(REEL)
Average layer
9.81907 1010
9.49753 1010
3.275%
Constraints (SIXX)
Average layer
194.93754
196.22121
0.659%
Higher layer
200.125
248.5679
24.206%
Lower layer
190.125
143.8745
24.326%
FORCE_COQUE
Displacements
(FONCTION)
Average layer
9.81907 1010
9.49753 1010
3.275%
Constraints
(SIXX)
Average layer
194.93754
196.22121
0.659%
Higher layer
200.125
248.5679
24.206%
Lower layer
190.125
143.8745
24.326%
Handbook of Validation
V3.03 booklet: Linear statics of the plates and hulls
HT-66/03/008/A
Code_Aster ®
Version
6.5
Titrate:
SSLS114 - Non regression on cylindrical quarter of binding ring
Date:
03/11/03
Author (S):
P. Key MASSIN, J.R. LEVESQUE
:
V3.03.114-A Page:
8/28
5 Modeling
B
5.1
Characteristics of the grid
Pa
PB
PC
PD
Co-ordinates of the points:
GROUP_NO
Coor_x Coor_y
Coor_z
Pa
- 1.
0.
5.0E-01
PB
- 1.
0.
0.
PC
0.
- 1.
5.0E-01
PD
0.
- 1.
0.
Characteristics of the elements:
Types of meshs:
12 COQUE_3D
12
QUAD9
Boundary conditions:
Group meshs AB:
- displacement following the axis Y: DY = 0
- rotation around axis X: DRX = 0
- rotation around axis Z: DRZ = 0
Group meshs CD:
- displacement following axis X: DX = 0
- rotation around the axis Y: DRY = 0
- rotation around axis Z: DRZ = 0
Group nodes PB:
- displacement following axis Z: DZ = 0
with AB the group of meshs connecting Pa and PB
and CD that connecting PC and PD
5.2
Functionalities tested
Commands Word
key
AFFE_CHAR_MECA PRES_REP
FORCE_COQUE
AFFE_CHAR_MECA_F FORCE_COQUE
Handbook of Validation
V3.03 booklet: Linear statics of the plates and hulls
HT-66/03/008/A
Code_Aster ®
Version
6.5
Titrate:
SSLS114 - Non regression on cylindrical quarter of binding ring
Date:
03/11/03
Author (S):
P. Key MASSIN, J.R. LEVESQUE
:
V3.03.114-A Page:
9/28
6
Results of modeling B
6.1 Values
tested
Key word
Identification
Reference
Aster Difference
PRES_REP
Displacements
Average layer
9.81907 1010
9.9465 1010
1.298%
Constraints (SIXX)
Average layer
194.93754
199.36962
2.274%
Higher layer
200.125
204.3322
2.102%
Lower layer
190.125
194.406
2.252%
FORCE_COQUE
Displacements
(REEL)
Average layer
9.81907 1010
9.9465 1010
1.298%
Constraints (SIXX)
Average layer
194.93754
199.36962
2.274%
Higher layer
200.125
204.3322
2.102%
Lower layer
190.125
194.406
2.252%
FORCE_COQUE
Displacements
(FONCTION)
Average layer
9.81907 1010
9.9465 1010
1.298%
Constraints
(SIXX)
Average layer
194.93754
199.36962
2.274%
Higher layer
200.125
204.3322
2.102%
Lower layer
190.125
194.406
2.252%
Handbook of Validation
V3.03 booklet: Linear statics of the plates and hulls
HT-66/03/008/A
Code_Aster ®
Version
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Titrate:
SSLS114 - Non regression on cylindrical quarter of binding ring
Date:
03/11/03
Author (S):
P. Key MASSIN, J.R. LEVESQUE
:
V3.03.114-A Page:
10/28
7 Modeling
C
7.1
Characteristics of the grid
Pa
PB
PC
PD
Co-ordinates of the points:
GROUP_NO
Coor_x Coor_y
Coor_z
Pa
- 1.
0.
5.0E-01
PB
- 1.
0.
0.
PC
0.
- 1.
5.0E-01
PD
0.
- 1.
0.
Characteristics of the elements:
Types of meshs:
12 DKT
12
DST
Boundary conditions:
Group meshs AB:
- displacement following the axis Y: DY = 0
- rotation around axis X: DRX = 0
- rotation around axis Z: DRZ = 0
Group meshs CD:
- displacement following axis X: DX = 0
- rotation around the axis Y: DRY = 0
- rotation around axis Z: DRZ = 0
Group nodes PB:
- displacement following axis Z: DZ = 0
with AB the group of meshs connecting Pa and PB
and CD that connecting PC and PD
7.2
Functionalities tested
Commands Word
key
AFFE_CHAR_MECA PRES_REP
FORCE_COQUE
AFFE_CHAR_MECA_F FORCE_COQUE
Handbook of Validation
V3.03 booklet: Linear statics of the plates and hulls
HT-66/03/008/A
Code_Aster ®
Version
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Titrate:
SSLS114 - Non regression on cylindrical quarter of binding ring
Date:
03/11/03
Author (S):
P. Key MASSIN, J.R. LEVESQUE
:
V3.03.114-A Page:
11/28
8
Results of the modélistaion C
8.1 Values
tested
Key word
Identification
Reference
Aster Difference
PRES_REP
Displacements
Average layer
9.81907 1010
9.91444 1010
0.971%
Constraints (SIXX)
Average layer
194.93754
198.28897
1.719%
Higher layer
200.125
198.28897
0.917%
Lower layer
190.125
198.28897
4.294%
FORCE_COQUE
Displacements
(REEL)
Average layer
9.81907 1010
9.91444 1010
0.971%
Constraints (SIXX)
Average layer
194.93754
198.28897
1.719%
Higher layer
200.125
198.28897
0.917%
Lower layer
190.125
198.28897
4.294%
FORCE_COQUE
Displacements
(FONCTION)
Average layer
9.81907 1010
9.91444 1010
0.971%
Constraints
(SIXX)
Average layer
194.93754
198.28897
1.719%
Higher layer
200.125
198.28897
0.917%
Lower layer
190.125
198.28897
4.294%
Handbook of Validation
V3.03 booklet: Linear statics of the plates and hulls
HT-66/03/008/A
Code_Aster ®
Version
6.5
Titrate:
SSLS114 - Non regression on cylindrical quarter of binding ring
Date:
03/11/03
Author (S):
P. Key MASSIN, J.R. LEVESQUE
:
V3.03.114-A Page:
12/28
9 Modeling
D
9.1
Characteristics of the grid
Pa
PB
PC
PD
Co-ordinates of the points:
GROUP_NO
Coor_x Coor_y
Coor_z
Pa
- 1.
0.
5.0E-01
PB
- 1.
0.
0.
PC
0.
- 1.
5.0E-01
PD
0.
- 1.
0.
Characteristics of the elements:
Types of meshs:
6 DKQ
6
DSQ
Boundary conditions:
Group meshs AB:
- displacement following the axis Y: DY = 0
- rotation around axis X: DRX = 0
- rotation around axis Z: DRZ = 0
Group meshs CD:
- displacement following axis X: DX = 0
- rotation around the axis Y: DRY = 0
- rotation around axis Z: DRZ = 0
Group nodes PB:
- displacement following axis Z: DZ = 0
with AB the group of meshs connecting Pa and PB
and CD that connecting PC and PD
9.2
Functionalities tested
Commands Word
key
AFFE_CHAR_MECA PRES_REP
FORCE_COQUE
AFFE_CHAR_MECA_F FORCE_COQUE
Handbook of Validation
V3.03 booklet: Linear statics of the plates and hulls
HT-66/03/008/A
Code_Aster ®
Version
6.5
Titrate:
SSLS114 - Non regression on cylindrical quarter of binding ring
Date:
03/11/03
Author (S):
P. Key MASSIN, J.R. LEVESQUE
:
V3.03.114-A Page:
13/28
10 Results of modeling D
10.1 Values
tested
Key word
Identification
Reference
Aster Difference
PRES_REP
Displacements
Average layer
9.81907 1010
9.91444 1010
0.971%
Constraints (SIXX)
Average layer
194.93754
198.28897
1.719%
Higher layer
200.125
198.28897
0.917%
Lower layer
190.125
198.28897
4.294%
FORCE_COQUE
Displacements
(REEL)
Average layer
9.81907 1010
9.91444 1010
0.971%
Constraints (SIXX)
Average layer
194.93754
198.28897
1.719%
Higher layer
200.125
198.28897
0.917%
Lower layer
190.125
198.28897
4.294%
FORCE_COQUE
Displacements
(FONCTION)
Average layer
9.81907 1010
9.91444 1010
0.971%
Constraints
(SIXX)
Average layer
194.93754
198.28897
1.719%
Higher layer
200.125
198.28897
0.917%
Lower layer
190.125
198.28897
4.294%
Handbook of Validation
V3.03 booklet: Linear statics of the plates and hulls
HT-66/03/008/A
Code_Aster ®
Version
6.5
Titrate:
SSLS114 - Non regression on cylindrical quarter of binding ring
Date:
03/11/03
Author (S):
P. Key MASSIN, J.R. LEVESQUE
:
V3.03.114-A Page:
14/28
11 Modeling
E
11.1 Characteristics of the grid
PA_sup
PA_inf
PB_inf
PC_inf
PC_sup
PD_inf
PD_sup
Co-ordinates of the points:
GROUP_NO
Coor_x Coor_y
Coor_z
PA_inf
- 9.75E-01
0.
5.0E-01
Pa
- 1.
0.
5.0E-01
PA_sup
- 1.025E+00
0.
5.0E-01
PB_inf
- 9.75E-01 0.
0.
PB
- 1.
0.
0.
PB_sup
- 1.025E+00
0.
0.
PC_inf
0.
- 9.75E-01
5.0E-01
PC
0.
- 1.
5.0E-01
PC_sup
0.
- 1.025E+00
5.0E-01
PD_inf
0.
- 9.75E-01
0.
PD
0.
- 1.
0.
PD_sup
0. - 1.025E+00
0.
Characteristics of the elements:
Types of meshs:
24 meshs linear Hexa_8 3D
Boundary conditions:
Group meshs S_AB:
- displacement following the axis Y: DY = 0
- displacement following axis Z: DZ = 0
Group meshs S_CD:
- displacement following axis X: DX = 0
- displacement following axis Z: DZ = 0
11.2 Functionalities tested
Commands Word
key
AFFE_CHAR_MECA PRES_REP
AFFE_CHAR_MECA_F PRES_REP
Handbook of Validation
V3.03 booklet: Linear statics of the plates and hulls
HT-66/03/008/A
Code_Aster ®
Version
6.5
Titrate:
SSLS114 - Non regression on cylindrical quarter of binding ring
Date:
03/11/03
Author (S):
P. Key MASSIN, J.R. LEVESQUE
:
V3.03.114-A Page:
15/28
12 Results of modeling E
12.1 Values
tested
Key word
Identification
Reference
Aster Difference
PRES_REP
Displacements
(REEL)
Average layer
9.81907 1010 9.67127098 1010
1.505%
Lower layer
9.90234 1010 9.78335202 1010
1.202%
Higher layer
9.81907 1010 9.567175895 1010
2.565%
Constraints (SIYY)
Average layer
194.93754
211.10227
8.292%
Lower layer
200.125
217.9814
8.923%
Higher layer
190.125
204.62504
7.627%
PRES_REP
Displacements
(FONCTION)
Average layer
9.81907 1010 9.671270 1010
1.505%
Lower layer
9.90234 1010 9.78335202 1010
1.202%
Higher layer
9.81907 1010 9.5671758 1010
2.565%
Constraints (SIYY)
Average layer
194.93754
211.10227
8.292%
Lower layer
200.125
217.98146
8.923%
Higher layer
190.125
204.62504
7.627%
Handbook of Validation
V3.03 booklet: Linear statics of the plates and hulls
HT-66/03/008/A
Code_Aster ®
Version
6.5
Titrate:
SSLS114 - Non regression on cylindrical quarter of binding ring
Date:
03/11/03
Author (S):
P. Key MASSIN, J.R. LEVESQUE
:
V3.03.114-A Page:
16/28
13 Modeling
F
13.1 Characteristics of the grid
PA_sup
PA_inf
PB_inf
PC_inf
PC_sup
PD_inf
PD_sup
Co-ordinates of the points:
GROUP_NO
Coor_x Coor_y
Coor_z
PA_inf
- 9.75E-01
0.
5.0E-01
Pa
- 1.
0.
5.0E-01
PA_sup
- 1.025E+00
0.
5.0E-01
PB_inf
- 9.75E-01 0.
0.
PB
- 1.
0.
0.
PB_sup
- 1.025E+00
0.
0.
PC_inf
0.
- 9.75E-01
5.0E-01
PC
0.
- 1.
5.0E-01
PC_sup
0.
- 1.025E+00
5.0E-01
PD_inf
0.
- 9.75E-01
0.
PD
0.
- 1.
0.
PD_sup
0. - 1.025E+00
0.
Characteristics of the elements:
Types of meshs:
48 linear meshs PENTA6 3D
Boundary conditions:
Group meshs S_AB:
- displacement following the axis Y: DY = 0
- displacement following axis Z: DZ = 0
Group meshs S_CD:
- displacement following axis X: DX = 0
- displacement following axis Z: DZ = 0
13.2 Functionalities tested
Commands Word
key
AFFE_CHAR_MECA PRES_REP
AFFE_CHAR_MECA_F PRES_REP
Handbook of Validation
V3.03 booklet: Linear statics of the plates and hulls
HT-66/03/008/A
Code_Aster ®
Version
6.5
Titrate:
SSLS114 - Non regression on cylindrical quarter of binding ring
Date:
03/11/03
Author (S):
P. Key MASSIN, J.R. LEVESQUE
:
V3.03.114-A Page:
17/28
14 Results of modeling F
14.1 Values
tested
Key word
Identification
Reference
Aster Difference
PRES_REP
Displacements
(REEL)
Average layer
9.81907 1010
9.454821 1010
3.710%
Lower layer
9.90234 1010
9.5731464 1010
3.324%
Higher layer
9.81907 1010
9.34578869 1010
4.820%
Constraints (SIYY)
Average layer
194.93754
193.619011
0.676%
Lower layer
200.125
200.724933
0.300%
Higher layer
190.125
186.858348
1.718%
PRES_REP
Displacements
(FONCTION)
Average layer
9.81907 1010
9.454821 1010
3.710%
Lower layer
9.90234 1010
9.5731464 1010
3.324%
Higher layer
9.81907 1010
9.34578869 1010
4.820%
Constraints (SIYY)
Average layer
194.93754
193.619011
0.676%
Lower layer
200.125
200.724933
0.300%
Higher layer
190.125
186.858348
1.718%
Handbook of Validation
V3.03 booklet: Linear statics of the plates and hulls
HT-66/03/008/A
Code_Aster ®
Version
6.5
Titrate:
SSLS114 - Non regression on cylindrical quarter of binding ring
Date:
03/11/03
Author (S):
P. Key MASSIN, J.R. LEVESQUE
:
V3.03.114-A Page:
18/28
15 Modeling
G
15.1 Characteristics of the grid
PA_sup
PA_inf
PB_inf
PC_inf
PC_sup
PD_inf
PD_sup
Co-ordinates of the points:
GROUP_NO
Coor_x Coor_y
Coor_z
PA_inf
- 9.75E-01
0.
5.0E-01
Pa
- 1.
0.
5.0E-01
PA_sup
- 1.025E+00
0.
5.0E-01
PB_inf
- 9.75E-01 0.
0.
PB
- 1.
0.
0.
PB_sup
- 1.025E+00
0.
0.
PC_inf
0.
- 9.75E-01
5.0E-01
PC
0.
- 1.
5.0E-01
PC_sup
0.
- 1.025E+00
5.0E-01
PD_inf
0.
- 9.75E-01
0.
PD
0.
- 1.
0.
PD_sup
0. - 1.025E+00
0.
Characteristics of the elements:
Types of meshs:
24 quadratic meshs HEXA_20 3D
Boundary conditions:
Group meshs S_AB:
- displacement following the axis Y: DY = 0
- displacement following axis Z: DZ = 0
Group meshs S_CD:
- displacement following axis X: DX = 0
- displacement following axis Z: DZ = 0
15.2 Functionalities tested
Commands Word
key
AFFE_CHAR_MECA PRES_REP
AFFE_CHAR_MECA_F PRES_REP
Handbook of Validation
V3.03 booklet: Linear statics of the plates and hulls
HT-66/03/008/A
Code_Aster ®
Version
6.5
Titrate:
SSLS114 - Non regression on cylindrical quarter of binding ring
Date:
03/11/03
Author (S):
P. Key MASSIN, J.R. LEVESQUE
:
V3.03.114-A Page:
19/28
16 Result of modeling G
16.1 Values
tested
Key word
Identification
Reference
Aster Difference
PRES_REP
Displacements
(REEL)
Average layer
9.81907 1010
9.6611705 1010
1.608%
Lower layer
9.90234 1010
9.7808343 1010
1.227%
Higher layer
9.81907 1010
9.5508891 1010
2.731%
Constraints (SIYY)
Average layer
194.93754
219.59661
12.650%
Lower layer
200.125
226.83032
13.344%
Higher layer
190.125
211.09036
11.027%
PRES_REP
Displacements
(FONCTION)
Average layer
9.81907 1010
9.6611705 1010
1.608%
Lower layer
9.90234 1010
9.7808343 1010
1.227%
Higher layer
9.81907 1010
9.5508891 1010
2.731%
Constraints (SIYY)
Average layer
194.93754
219.59661
12.650%
Lower layer
200.125
226.83032
13.344%
Higher layer
190.125
211.09036
11.027%
Handbook of Validation
V3.03 booklet: Linear statics of the plates and hulls
HT-66/03/008/A
Code_Aster ®
Version
6.5
Titrate:
SSLS114 - Non regression on cylindrical quarter of binding ring
Date:
03/11/03
Author (S):
P. Key MASSIN, J.R. LEVESQUE
:
V3.03.114-A Page:
20/28
17 Modeling
H
17.1 Characteristics of the grid
PA_sup
PA_inf
PB_inf
PC_inf
PC_sup
PD_inf
PD_sup
Co-ordinates of the points:
GROUP_NO
Coor_x Coor_y
Coor_z
PA_inf
- 9.75E-01
0.
5.0E-01
Pa
- 1.
0.
5.0E-01
PA_sup
- 1.025E+00
0.
5.0E-01
PB_inf
- 9.75E-01 0.
0.
PB
- 1.
0.
0.
PB_sup
- 1.025E+00
0.
0.
PC_inf
0.
- 9.75E-01
5.0E-01
PC
0.
- 1.
5.0E-01
PC_sup
0.
- 1.025E+00
5.0E-01
PD_inf
0.
- 9.75E-01
0.
PD
0.
- 1.
0.
PD_sup
0. - 1.025E+00
0.
Characteristics of the elements:
Types of meshs:
48 quadratic meshs PENTA15 3D
Boundary conditions:
Group meshs S_AB:
- displacement following the axis Y: DY = 0
- displacement following axis Z: DZ = 0
Group meshs S_CD:
- displacement following axis X: DX = 0
- displacement following axis Z: DZ = 0
17.2 Functionalities tested
Commands Word
key
AFFE_CHAR_MECA PRES_REP
AFFE_CHAR_MECA_F PRES_REP
Handbook of Validation
V3.03 booklet: Linear statics of the plates and hulls
HT-66/03/008/A
Code_Aster ®
Version
6.5
Titrate:
SSLS114 - Non regression on cylindrical quarter of binding ring
Date:
03/11/03
Author (S):
P. Key MASSIN, J.R. LEVESQUE
:
V3.03.114-A Page:
21/28
18 Results of modeling H
18.1 Values
tested
Key word
Identification
Reference
Aster Difference
PRES_REP
Displacements
(REEL)
Average layer
9.81907 1010
9.6609841 1010
1.610%
Lower layer
9.90234 1010
9.787884 1010
1.156%
Higher layer
9.81907 1010
9.5539546 1010
2.700%
Constraints (SIYY)
Average layer
194.93754
214.780477
10.179%
Lower layer
200.125
242.54015
21.194%
Higher layer
190.125
186.1681
2.081%
PRES_REP
Displacements
(FONCTION)
Average layer
9.81907 1010
9.6609841 1010
1.610%
Lower layer
9.90234 1010
9.787884 1010
1.156%
Higher layer
9.81907 1010
9.5539546 1010
2.700%
Constraints (SIYY)
Average layer
194.93754
214.780477
10.179%
Lower layer
200.125
242.54015
21.194%
Higher layer
190.125
186.1681
2.081%
Handbook of Validation
V3.03 booklet: Linear statics of the plates and hulls
HT-66/03/008/A
Code_Aster ®
Version
6.5
Titrate:
SSLS114 - Non regression on cylindrical quarter of binding ring
Date:
03/11/03
Author (S):
P. Key MASSIN, J.R. LEVESQUE
:
V3.03.114-A Page:
22/28
19 Modeling
I
19.1 Characteristics of the grid
Pa
PB
Co-ordinates of the points:
GROUP_NO
Coor_x Coor_y
Pa
1.0
0.5
PB
1.0 0.
Characteristics of the elements:
Types of meshs:
2 COQUE_AXI
Thus R1=1.025 m and R2=0.975 Mr.
h=0.5m
For this modeling and the following ones, one specifies the density = 1234.kg/m3
Boundary conditions:
Group nodes PB: displacement following the axis Y: DY = 0
19.2 Functionalities tested
Commands Word
key
AFFE_CHAR_MECA PRES_REP
FORCE_COQUE
AFFE_CHAR_MECA_F FORCE_COQUE
Handbook of Validation
V3.03 booklet: Linear statics of the plates and hulls
HT-66/03/008/A
Code_Aster ®
Version
6.5
Titrate:
SSLS114 - Non regression on cylindrical quarter of binding ring
Date:
03/11/03
Author (S):
P. Key MASSIN, J.R. LEVESQUE
:
V3.03.114-A Page:
23/28
20 Results of modeling I
20.1 Values
tested
Key word
Identification
Reference
Aster Difference
PRES_REP
Displacements
Average layer
9.81907 1010
1.000 109
1.843%
Constraints (SIYY)
Average layer
194.93754
200.000
2.597%
FORCE_COQUE
Displacements
(REEL) with
Average layer
9.81907 1010
1.000 109
1.843%
MODI_METRIQUE
Constraints (SIYY)
Average layer
194.93754
199.954
2.573%
Higher layer
200.125
205.588
2.730%
Lower layer
190.125
194.595
2.351%
FORCE_COQUE
Displacements
(FONCTION) with
Average layer
9.81907 1010
1.000 109
1.843%
MODI_METRIQUE
Constraints (SIYY)
Average layer
194.93754
199.954
2.573%
Higher layer
200.125
205.588
2.730%
Lower layer
190.125
194.595
2.351%
FORCE_COQUE
Displacements
(FONCTION) without
Average layer
9.81907 1010
1.000 109
1.843%
MODI_METRIQUE
Constraints (SIYY)
Average layer
194.93754
200.000
2.597%
Higher layer
200.125
200.000
0.062%
Lower layer
190.125
200.000
5.194%
MASSE
1.93836 E+02
1.93836 E+02
CDG_X
0.0
0.0
CDG_Y
0.0
0.0
CDG_Z
2.5 E-01
2.5 E-01
IX_G
1.00956 E+02
1.00956 E+02
IY_G
1.00956 E+02
1.00956 E+02
IZ_G
1.93836 E+02
1.93836 E+02
IXY_G
0.0
0.0
IXZ_G
0.0
0.0
IYZ_G
0.0
0.0
Handbook of Validation
V3.03 booklet: Linear statics of the plates and hulls
HT-66/03/008/A
Code_Aster ®
Version
6.5
Titrate:
SSLS114 - Non regression on cylindrical quarter of binding ring
Date:
03/11/03
Author (S):
P. Key MASSIN, J.R. LEVESQUE
:
V3.03.114-A Page:
24/28
21 Modeling
J
21.1 Characteristics of the grid
Co-ordinates of the points:
GROUP_NO
Coor_x Coor_y
Pa
1.0
0.
PC
0. 1.
Characteristics of the elements:
Types of meshs:
10 COQUE_C_PLAN
R = 1 Mr.
= 1234. Kg/m3
Boundary conditions:
Group nodes Pa:
- displacement following the axis Y = 0
- rotation around axis Z: DRZ = 0
Group nodes PC:
- displacement following axis X: DX = 0
- rotation around axis Z: DZ = 0
21.2 Functionalities tested
Commands Word
key
AFFE_CHAR_MECA PRES_REP
FORCE_COQUE
AFFE_CHAR_MECA_F FORCE_COQUE
Handbook of Validation
V3.03 booklet: Linear statics of the plates and hulls
HT-66/03/008/A
Code_Aster ®
Version
6.5
Titrate:
SSLS114 - Non regression on cylindrical quarter of binding ring
Date:
03/11/03
Author (S):
P. Key MASSIN, J.R. LEVESQUE
:
V3.03.114-A Page:
25/28
22 Results of modeling J
22.1 Values
tested
Key word
Identification
Reference
Aster Difference
PRES_REP
Displacements
Average layer
9.81907 1010
9.999974 1010
1.842%
Constraints (SIXX)
Average layer
194.93754
200.000
2.597%
FORCE_COQUE
Displacements
(REEL) with
Average layer
9.81907 1010
9.999974 1010
1.842%
MODI_METRIQUE
Constraints (SIXX)
Average layer
194.93754
199.959
2.576%
Higher layer
200.125
205.046
2.459%
Lower layer
190.125
195.118
2.626%
FORCE_COQUE
Displacements
(FONCTION) with
Average layer
9.81907 1010
9.999974 1010
1.842%
MODI_METRIQUE
Constraints (SIXX)
Average layer
194.93754
199.959
2.576%
Higher layer
200.125
205.046
2.459%
Lower layer
190.125
195.118
2.626%
FORCE_COQUE
Displacements
(FONCTION) without
Average layer
9.81907 1010
9.999974 1010
1.842%
MODI_METRIQUE
Constraints (SIXX)
Average layer
194.93754
200.000
2.597%
Higher layer
200.125
200.000
0.062%
Lower layer
190.125
200.000
5.194%
MASSE
9.69181 E+01
9.69181 E+01
CDG_X
6.36619 E-01
6.36619 E-01
CDG_Y
6.36619 E-01
6.36619 E-01
CDG_Z
0.0
0.0
IX_G
9.17961
9.17961
IY_G
9.17961
9.17961
IZ_G
1.83592 E+01
1.83592 E+01
IXY_G
- 8.42942
- 8.42942
IXZ_G
0.0
0.0
IYZ_G
0.0
0.0
Handbook of Validation
V3.03 booklet: Linear statics of the plates and hulls
HT-66/03/008/A
Code_Aster ®
Version
6.5
Titrate:
SSLS114 - Non regression on cylindrical quarter of binding ring
Date:
03/11/03
Author (S):
P. Key MASSIN, J.R. LEVESQUE
:
V3.03.114-A Page:
26/28
23 Modeling
K
23.1 Characteristics of the grid
Co-ordinates of the points:
GROUP_NO
Coor_x Coor_y
Pa
1.0
0.
PC
0. 1.
Characteristics of the elements:
Types of meshs:
10 COQUE_D_PLAN
R = 1 Mr.
= 1234. Kg/m3
Boundary conditions:
Group nodes Pa:
- displacement following the axis Y = 0
- rotation around axis Z: DRZ = 0
Group nodes PC:
- displacement following axis X: DX = 0
- rotation around axis Z: DZ = 0
23.2 Functionalities tested
Commands Word
key
AFFE_CHAR_MECA PRES_REP
FORCE_COQUE
AFFE_CHAR_MECA_F FORCE_COQUE
Handbook of Validation
V3.03 booklet: Linear statics of the plates and hulls
HT-66/03/008/A
Code_Aster ®
Version
6.5
Titrate:
SSLS114 - Non regression on cylindrical quarter of binding ring
Date:
03/11/03
Author (S):
P. Key MASSIN, J.R. LEVESQUE
:
V3.03.114-A Page:
27/28
24 Results of modeling K
24.1 Values
tested
Key word
Identification
Reference
Aster Difference
PRES_REP
Displacements
Average layer
9.81907 1010
9.099974 1010
7.323%
Constraints (SIXX)
Average layer
194.93754
200.000
2.597%
FORCE_COQUE
Displacements
(REEL) with
Average layer
9.81907 1010
9.099974 1010
7.323%
MODI_METRIQUE
Constraints (SIXX)
Average layer
194.93754
199.959
2.576%
Higher layer
200.125
205.046
2.459%
Lower layer
190.125
195.118
2.627%
FORCE_COQUE
Displacements
(FONCTION) with
Average layer
9.81907 1010
9.099974 1010
7.323%
MODI_METRIQUE
Constraints (SIXX)
Average layer
194.93754
199.959
2.576%
Higher layer
200.125
205.046
2.459%
Lower layer
190.125
195.118
2.627%
FORCE_COQUE
Displacements
(FONCTION) without
Average layer
9.81907 1010
9.099974 1010
7.323%
MODI_METRIQUE
Constraints (SIXX)
Average layer
194.93754
200.000
2.597%
Higher layer
200.125
200.000
0.062%
Lower layer
190.125
200.000
5.194%
MASSE
9.69181 E+01
9.69181 E+01
CDG_X
6.36619 E-01
6.36619 E-01
CDG_Y
6.36619 E-01
6.36619 E-01
CDG_Z
0.0
0.0
IX_G
9.17961
9.17961
IY_G
9.17961
9.17961
IZ_G
1.83592 E+01
1.83592 E+01
IXY_G
- 8.42942
- 8.42942
IXZ_G
0.0
0.0
IYZ_G
0.0
0.0
Handbook of Validation
V3.03 booklet: Linear statics of the plates and hulls
HT-66/03/008/A
Code_Aster ®
Version
6.5
Titrate:
SSLS114 - Non regression on cylindrical quarter of binding ring
Date:
03/11/03
Author (S):
P. Key MASSIN, J.R. LEVESQUE
:
V3.03.114-A Page:
28/28
25 Summary of the results
The key words PRES_REP (real or function) and FORCE_COQUE (real or function) can be
indifferently used for the elements of hull and plate, the results obtained coincide.
Handbook of Validation
V3.03 booklet: Linear statics of the plates and hulls
HT-66/03/008/A
Outline document