Code_Aster ®
Version
6.0
Titrate:
SSLS118 - Square Plaque subjected to a sinusoidal pressure
Date:
16/11/01
Author (S):
P. MASSIN, NR. RAHNI Key
:
V3.03.118-A Page:
1/62
Organization (S): EDF/MTI/MN, CS IF
Handbook of Validation
V3.03 booklet: Linear statics of the plates and hulls
V3.03.118 document
SSLS118 - Square Plaque posed subjected
with a sinusoidal pressure
Summary:
One treats the case of a multi-layer full-course square plate then, simply supported and subjected to one
sinusoidal pressure.
One calculates displacement in the center, the constraints, with the lower interfaces
xx
yy
xy
xz
yz
averages and higher, efforts of membrane NR, NR, NR, efforts sharp T, T and them
xx
yy
xy
X
y
moments M, M and Mr.
xx
yy
xy
The test gathers 14 modelings: with regard to modelings A with F, the results obtained are
compared for modelings DKQ, DSQ, DKT, DST, COQUE_3D with triangular meshs and
COQUE_3D with rectangular meshs.
Modelings G and H make it possible to test the results in a reference mark user different from the total reference mark.
Modelings I and J measure the sensitivity of the results to the smoothness of the grid, for the configuration
DSQ.
Modelings K with NR relate to the multi-layer plate, for modelings DST and DSQ, in reference mark
total and user. They make it possible to estimate the distribution of the plane constraints and transverse shearing
inside the plate.
Handbook of Validation
V3.03 booklet: Linear statics of the plates and hulls
HI-75/01/010/A
Code_Aster ®
Version
6.0
Titrate:
SSLS118 - Square Plaque subjected to a sinusoidal pressure
Date:
16/11/01
Author (S):
P. MASSIN, NR. RAHNI Key
:
V3.03.118-A Page:
2/62
1
Problem of reference
1.1 Geometry
1.2 Properties
of
materials
E = 25 Pa
= 0.25
= 1 kg/m3
1.3
Boundary conditions and loadings
Simple bearing plate
C.L. :
AB
DX = 0.
DZ = 0.
DRY=0.
MY = 0.
BC
DY = 0.
DZ = 0.
DRX=0.
MX = 0.
CD
DX = 0.
DZ = 0.
DRY=0.
MY = 0.
DA
DY = 0.
DZ = 0.
DRX=0.
MX = 0.
Not O
DX = 0.
DY = 0.
DRX=0.
DRY=0.
DRZ=0.
Loading:
FORCE_COQUE
Sinusoidal pressure
P
X
y
With P = F sin
, where F = 1 and has = 1
0
sin
has
has
0
1.4 Conditions
initial
Without object for the static analysis.
Handbook of Validation
V3.03 booklet: Linear statics of the plates and hulls
HI-75/01/010/A
Code_Aster ®
Version
6.0
Titrate:
SSLS118 - Square Plaque subjected to a sinusoidal pressure
Date:
16/11/01
Author (S):
P. MASSIN, NR. RAHNI Key
:
V3.03.118-A Page:
3/62
2
Reference solution
2.1
Method of calculation used for the reference solution
The analytical solution of reference is based on the theory of Coils-Kirchhoff, usually used
for the plates known as “thin” [bib1].
Taking into account the problem and in any point of the plate, one has for the calculation of the arrow:
F a4
0
X
y
W =
sin sin
4 4 D
has
has
with:
3
=
Eh
D
, F = 1, has = 1 and = 0.25
12 (
2
1 -) 0
For the calculation of the moments, the theory leads to the following expressions:
M = 1+ sin sin
xx
(
)
X
y
has
has
M
= M
yy
xx
M
= - 1 - cos cos
xy
(
)
X
y
has
has
2
F
with
0
has
=
2
4
For the sharp efforts, one obtains:
F has
0
X
y
T =
cos sin
X
2
has
has
F has
X
y
T
0
=
sin cos
y
2
has
has
For a homogeneous plate, the plane constraints are given by:
M
xx
xx
Z A M
yy
= []
yy
M
xy
xy
12
with []
With =
and Z the position in the thickness of the plate
3 [I]
H
and stresses shear transverse by:
T
xz = [D
,
1 (Z)] X
T
yz
y
6 H2
with [D
1 (Z)]
=
- z2
3
[I]
H
2
Handbook of Validation
V3.03 booklet: Linear statics of the plates and hulls
HI-75/01/010/A
Code_Aster ®
Version
6.0
Titrate:
SSLS118 - Square Plaque subjected to a sinusoidal pressure
Date:
16/11/01
Author (S):
P. MASSIN, NR. RAHNI Key
:
V3.03.118-A Page:
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2.2
Results of reference
For each modeling, one calculates:
· in the center of the plate, displacement,
· in the center of the plate and in the middle of side AB, the constraints, on
xx
yy
xy
xz
yz
plans:
inferior, means and superior of the plate in the full-course case,
inferior, means and superior of each section in the multi-layer case (5 layers),
· in the center, with the corners and in the middle of sides AB and AD, the efforts of membrane NR, NR, NR,
xx
yy
xy
sharp efforts T, T and the moments M, M and Mr.
X
y
xx
yy
xy
The expression of these quantities to the points O, A, B, C, D gives:
W M
M
M
T
T
xx
yy
xy
X
y
O
(2
3 1 -)
(1+)
(1+)
0 0 0
4
3
Eh
With -
0
0 - (1)
0 0
B -
0
0 (1)
0 0
B1 -
0
0
0
0
1/
2
C -
0
0 - (1)
0 0
D -
0
0 (1)
0 0
Numerical application:
(31 2
-) =1.1549,
4
3
Eh
(1+) = 0.031662,
(1) = 0.018997
1/ 2 = 0.1591
The distribution of the plane constraints and shearing at the points O and B1 inside the plate is
the following one:
O
xx
yy
xy
xz
yz
H/2
18.9972 18.9972
0
0
0
3h/10
11.3983 11.3983
0
0
0
H/10
3.7994 3.7994 0 0
0
0 0
0
0 0
0
H/10
3.7994 3.7994
0
0
0
3h/10
11.3983 11.3983
0
0 0
H/2
18.9972 18.9972
0
0 0
Handbook of Validation
V3.03 booklet: Linear statics of the plates and hulls
HI-75/01/010/A
Code_Aster ®
Version
6.0
Titrate:
SSLS118 - Square Plaque subjected to a sinusoidal pressure
Date:
16/11/01
Author (S):
P. MASSIN, NR. RAHNI Key
:
V3.03.118-A Page:
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H/2
5 sleep
3h/10
4 sleep
H/10
3 sleep
H
0
2 sleep
Lay down 1
B1
xx
yy
xy
xz
yz
H/2
0 0 0
0
0
3h/10
0 0 0
0
1.5278
H/10
0 0 0
0
2.3777
0 0
0
0 0
2.3873
H/10
0 0 0
0
2.3777
3h/10
0 0 0
0
1.5278
H/2
0 0 0
0
0
2.3
Uncertainty on the solution
Analytical solution.
2.4 References
bibliographical
[1]
BATOZ and DHATT. Modeling of the structures by finite elements. Beams and Plaques.
Volume 2 HERMES, 1990.
Handbook of Validation
V3.03 booklet: Linear statics of the plates and hulls
HI-75/01/010/A
Code_Aster ®
Version
6.0
Titrate:
SSLS118 - Square Plaque subjected to a sinusoidal pressure
Date:
16/11/01
Author (S):
P. MASSIN, NR. RAHNI Key
:
V3.03.118-A Page:
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3 Modeling
With
3.1
Characteristics of modeling
Quadrangular element of hull DKQ.
The reference mark user is confused with the reference mark of orthotropism.
Limiting conditions:
DDL_IMPO
(GROUP_NO: AB, DX: 0., DZ: 0., DRY:0.)
(GROUP_NO: BC, DY: 0., DZ: 0., DRX:0.)
(GROUP_NO: CD, DX: 0., DZ: 0., DRY:0.)
(GROUP_NO: DA, DY: 0., DZ: 0., DRX:0.)
(GROUP_NO: O, DX: 0., DY: 0., DRX:0., DRY:0., DRZ:0.)
FORCE_ARETE
(GROUP_NO: AB MY:0.)
(GROUP_NO: BC MX:0.)
(GROUP_NO: CD MY:0.)
(GROUP_NO: DA MX:0.)
Not O
Meshs: M66, M67, M78, M79
Not A
Net: M1
Not B
Net: M12
Not C
Net: M144
Not D
Net: M133
Not B1
Meshs: M6, M7
Not D1
Meshs: M73, M61
Handbook of Validation
V3.03 booklet: Linear statics of the plates and hulls
HI-75/01/010/A
Code_Aster ®
Version
6.0
Titrate:
SSLS118 - Square Plaque subjected to a sinusoidal pressure
Date:
16/11/01
Author (S):
P. MASSIN, NR. RAHNI Key
:
V3.03.118-A Page:
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3.2 Characteristics
grid
A number of nodes: 171
A number of meshs and type: 144 QUAD4
3.3 Functionalities
tested
Commands
AFFE_MODELE
“MECANIQUE”
“DKT”
MODI_MAILLAGE ORIE_NORME_COQUE
AFFE_CARA_ELEM HULL
EPAIS
ANGLE_REP
DEFI_MATERIAU ELAS_ORTH
DEFI_COQU_MULT SLEEP
EPAIS
ORIENTATION
AFFE_CHAR_MECA FORCE_COQUE
PRES
TOUT
LIAISON_OBLIQUE
ANGLE_NAUT
GROUP_NO
MECA_STATIQUE
CALC_CHAM_ELEM SIGM_ELNO_DEPL
Handbook of Validation
V3.03 booklet: Linear statics of the plates and hulls
HI-75/01/010/A
Code_Aster ®
Version
6.0
Titrate:
SSLS118 - Square Plaque subjected to a sinusoidal pressure
Date:
16/11/01
Author (S):
P. MASSIN, NR. RAHNI Key
:
V3.03.118-A Page:
8/62
4
Results of modeling A
4.1 Values
tested
Identification
Reference
Aster Difference
Tolerance
Not O
M78
on lower layer
18.990 18.871
0.626%
1.0%
xx
on lower layer
18.990 18.871
0.626%
1.0%
yy
on lower layer
0.000 2.03E08 2.03E08
0.01
xy
on lower layer
0.000 0.000 0.000
0.01
xz
on lower layer
0.000 0.000 0.000
0.01
yz
Constraints
on layer medium
0.000 0.000 0.000
0.01
xx
on layer medium
0.000 0.000 0.000
0.01
yy
on layer medium
0.000 0.000 0.000
0.01
xy
on layer medium
0.000 0.251
0.251 0.26
xz
on layer medium
0.000 0.251 0.251
0.26
yz
on higher layer
18.990 18.871 0.626% 1.0%
xx
on higher layer
18.990 18.871 0.626% 1.0%
yy
on higher layer
0.000 2.03E08
2.03E08
0.01
xy
on higher layer
0.000 0.000 0.000
0.01
xz
on higher layer
0.000 0.000 0.000
0.01
yz
Displacement DZ
1.1549
1.1406
1.232%
1.25%
Not B1
M6
on lower layer
0.000 1.052E03
0.001 0.01
xx
on lower layer
0.000 4.208E03
0.004 0.01
yy
on lower layer
0.000 7.326E01
0.733 0.74
xy
on lower layer
0.000 0.000 0.000 0.01
xz
on lower layer
0.000 0.000 0.000 0.01
yz
on layer medium
0.000 0.000 0.000 0.01
xx
on layer medium
0.000 0.000 0.000 0.01
yy
Constraints
on layer medium
0.000 0.000 0.000 0.01
xy
on layer medium
0.000 2.690E05
2.
690E05 0.26
xz
on layer medium
2.39732 1.90731 20.44% 21.0%
yz
on higher layer
0.000 1.052E03 0.001 0.26
xx
on higher layer
0.000 4.208E03 0.004 0.26
yy
on higher layer
0.000 7.326E01 0.733 0.74
xy
on higher layer
0.000 0.000 0.000 0.01
xz
on higher layer
0.000 0.000 0.000 0.01
yz
Handbook of Validation
V3.03 booklet: Linear statics of the plates and hulls
HI-75/01/010/A
Code_Aster ®
Version
6.0
Titrate:
SSLS118 - Square Plaque subjected to a sinusoidal pressure
Date:
16/11/01
Author (S):
P. MASSIN, NR. RAHNI Key
:
V3.03.118-A Page:
9/62
Reference
Not
NR
NR
NR
M
M
M
T
T
xx
yy
xy
xx
yy
xy
X
y
O M78
0.000 0.000 0.000 3.1662E02
3.1662E02
0.000 0.000
0.000
O M79
0.000
0.000
O M66
0.000
0.000
O M67
0.000
0.000
With
0.000 0.000 0.000
0.000
0.000 1.8997E02 0.000
0.000
B
0.000 0.000 0.000
0.000
0.000 1.8997E02
0.000
0.000
C
0.000 0.000 0.000
0.000
0.000 1.8997E02 0.000
0.000
D
0.000 0.000 0.000
0.000
0.000 1.8997E02
0.000
0.000
B1 M6
0.000 0.000 0.000
0.000
0.000 0.000 0.000 1.5915E01
B1 M7
0.000 0.000 0.000
0.000
0.000 0.000 0.000 1.5915E01
D1 M61
1.5915E01 0.000
D1 M73 0.000 0.000 0.000
0.000
0.000 0.000
1.5915E01
0.000
Aster
Not
NR
NR
NR
M
M
M
Q
Q
xx
yy
xy
xx
yy
xy
X
y
O M78
0.000 0.000 0.000 3.1451E02
3.1451E02
3.3849E11
1.6740E02 1.6740E02
O M79
1.6740E02 1.6740E02
O M66
1.6740E02
1.6740E02
O M67
1.6740E02 1.6740E02
With
0.000 0.000 0.000 1.07E17 3.53E18
1.8548E02 1.3609E05
1.3617E05
B
0.000 0.000 0.000 2.00E17 9.39E17
1.8548E02
1.3617E05 1.3612E05
C
0.000 0.000 0.000 8.61E18 4.15E18 1.8548E02 1.3612E05 1.3619E05
D
0.000 0.000 0.000 1.35E17 1.16E18
1.8548E02
1.3619E05 1.3609E05
B1 M6
0.000 0.000 0.000 1.7534E06 7.0138E06 1.221E03 1.7933E06 1.2715E01
B1 M7
0.000 0.000 0.000 1.7534E06 7.0138E06 1.221E03 1.7921E06 1.2715E01
D1 M61
1.2715E01 1.7933E06
D1 M73 0.000 0.000 0.000 7.0138E06 1.7534E06 1.221E03 1.2715E01 1.7933E06
Difference
Not
NR
NR
NR
M
M
M
Q
Q
xx
yy
xy
xx
yy
xy
X
y
O M78
0.000 0.000 0.000 0.666%
0.666% 3.38E11 0.017
0.017
O M79
0.017
0.017
O M66
0.017
0.017
O M67
0.017
0.017
With
0.000 0.000 0.000 1.07E17 3.53E18 2.363% 1.36E05 1.36E05
B
0.000 0.000 0.000 2.00E17 9.39E17 2.363% 1.36E05 1.36E05
C
0.000 0.000 0.000 8.61E18 4.15E18 2.363% 1.36E05 1.36E05
D
0.000 0.000 0.000 1.35E17 1.16E18 2.363% 1.36E05 1.36E05
B1 M6
0.000 0.000 0.000 1.75E06
7.01E06 0.001 1.79E06 20.106%
B1 M7
0.000 0.000 0.000 1.75E06
7.01E06 0.001 1.79E06 20.106%
D1 M61
20.106% 1.79E06
D1 M73 0.000 0.000 0.000 7.01E06 1.75E06 0.001 20.106% 1.79E06
Handbook of Validation
V3.03 booklet: Linear statics of the plates and hulls
HI-75/01/010/A
Code_Aster ®
Version
6.0
Titrate:
SSLS118 - Square Plaque subjected to a sinusoidal pressure
Date:
16/11/01
Author (S):
P. MASSIN, NR. RAHNI Key
:
V3.03.118-A Page:
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4.2 Parameters
of execution
Version: 6.0.37
Machine: SGI - ORIGIN 2000
Obstruction memory:
32 Mo
Time CPU To use: 5.74 seconds
5 Modeling
B
5.1
Characteristics of modeling
Quadrangular element of hull DSQ.
The reference mark user is confused with the reference mark of orthotropism.
Limiting conditions:
DDL_IMPO
(GROUP_NO: AB, DX: 0., DZ: 0., DRY:0.)
(GROUP_NO: BC, DY: 0., DZ: 0., DRX:0.)
(GROUP_NO: CD, DX: 0., DZ: 0., DRY:0.)
(GROUP_NO: DA, DY: 0., DZ: 0., DRX:0.)
(GROUP_NO: O, DX: 0., DY: 0., DRX:0., DRY:0., DRZ:0.)
FORCE_ARETE
(GROUP_NO: AB MY:0.)
(GROUP_NO: BC MX:0.)
(GROUP_NO: CD MY:0.)
(GROUP_NO: DA MX:0.)
Handbook of Validation
V3.03 booklet: Linear statics of the plates and hulls
HI-75/01/010/A
Code_Aster ®
Version
6.0
Titrate:
SSLS118 - Square Plaque subjected to a sinusoidal pressure
Date:
16/11/01
Author (S):
P. MASSIN, NR. RAHNI Key
:
V3.03.118-A Page:
11/62
Not O
Meshs: M66, M67, M78, M79
Not A
Net: M1
Not B
Net: M12
Not C
Net: M144
Not D
Net: M133
Not B1
Meshs: M6, M7
Not D1
Meshs: M73, M61
5.2 Characteristics
grid
A number of nodes: 171
A number of meshs and type: 144 QUAD4
5.3 Functionalities
tested
Commands
AFFE_MODELE
“MECANIQUE”
“DST”
MODI_MAILLAGE ORIE_NORME_COQUE
AFFE_CARA_ELEM HULL
EPAIS
ANGLE_REP
DEFI_MATERIAU ELAS_ORTH
DEFI_COQU_MULT SLEEP
EPAIS
ORIENTATION
AFFE_CHAR_MECA FORCE_COQUE
PRES
TOUT
LIAISON_OBLIQUE
ANGLE_NAUT
GROUP_NO
MECA_STATIQUE
CALC_CHAM_ELEM SIGM_ELNO_DEPL
Handbook of Validation
V3.03 booklet: Linear statics of the plates and hulls
HI-75/01/010/A
Code_Aster ®
Version
6.0
Titrate:
SSLS118 - Square Plaque subjected to a sinusoidal pressure
Date:
16/11/01
Author (S):
P. MASSIN, NR. RAHNI Key
:
V3.03.118-A Page:
12/62
6
Results of modeling B
6.1 Values
tested
Identification
Reference
Aster Difference
Tolerance
Not O
M78
on lower layer
18.990 18.959
0.158%
1.0%
xx
on lower layer
18.990 18.959
0.158%
1.0%
yy
on lower layer
0.000 4.73E08 4.73E08
0.01
xy
on lower layer
0.000 0.000 0.000
0.01
xz
on lower layer
0.000 0.000 0.000
0.01
yz
Constraints
on layer medium
0.000 0.000 0.000
0.01
xx
on layer medium
0.000 0.000 0.000
0.01
yy
on layer medium
0.000 0.000 0.000
0.01
xy
on layer medium
0.000 0.306
0.306 0.31
xz
on layer medium
0.000 0.306 0.306
0.31
yz
on higher layer
18.990 18.959 0.158% 1.0%
xx
on higher layer
18.990 18.959 0.158% 1.0%
yy
on higher layer
0.000 4.73E08
4.73E08
0.01
xy
on higher layer
0.000 0.000 0.000
0.01
xz
on higher layer
0.000 0.000 0.000
0.01
yz
Displacement DZ
1.1549
1.2012 4.017%
4.1%
Not B1
M6
on lower layer
0.000 1.695E01 0.17 0.7
xx
on lower layer
0.000 6.933E01
0.693 0.7
yy
on lower layer
0.000 7.316E01
0.732 0.74
xy
on lower layer
0.000 0.000 0.000 0.01
xz
on lower layer
0.000 0.000 0.000 0.01
yz
on layer medium
0.000 0.000 0.000 0.01
xx
on layer medium
0.000 0.000 0.000 0.01
yy
Constraints
on layer medium
0.000 0.000 0.000 0.01
xy
on layer medium
0.000 5.256E04
5.26E04 0.26
xz
on layer medium
2.39732 2.32183 3.149% 3.2%
yz
on higher layer
0.000 1.695E01 0.17
0.7
xx
on higher layer
0.000 6.933E01 0.693
0.7
yy
on higher layer
0.000 7.316E01 0.732 0.74
xy
on higher layer
0.000 0.000 0.000 0.01
xz
on higher layer
0.000 0.000 0.000 0.01
yz
Handbook of Validation
V3.03 booklet: Linear statics of the plates and hulls
HI-75/01/010/A
Code_Aster ®
Version
6.0
Titrate:
SSLS118 - Square Plaque subjected to a sinusoidal pressure
Date:
16/11/01
Author (S):
P. MASSIN, NR. RAHNI Key
:
V3.03.118-A Page:
13/62
Reference
Not
NR
NR
NR
M
M
M
T
T
xx
yy
xy
xx
yy
xy
X
y
O M78
0.000 0.000 0.000 3.1662E02
3.1662E02 0.000
0.000
0.000
O M79
0.000
0.000
O M66
0.000
0.000
O M67
0.000
0.000
With
0.000 0.000 0.000
0.000
0.000 1.8997E02 0.000
0.000
B
0.000 0.000 0.000
0.000
0.000 1.8997E02
0.000
0.000
C
0.000 0.000 0.000
0.000
0.000 1.8997E02 0.000
0.000
D
0.000 0.000 0.000
0.000
0.000 1.8997E02
0.000
0.000
B1 M6
0.000 0.000 0.000
0.000
0.000 0.000 0.000
1.5915E01
B1 M7
0.000 0.000 0.000
0.000
0.000 0.000 0.000
1.5915E01
D1 M61
1.5915E01 0.000
D1 M73 0.000 0.000 0.000
0.000
0.000 0.000
1.5915E01
0.000
Aster
Not
NR
NR
NR
M
M
M
Q
Q
xx
yy
xy
xx
yy
xy
X
y
O M78
0.000 0.000 0.000 3.1599E02
3.1599E02 7.878E11 2.0378E02 2.0378E02
O M79
2.0378E02 2.0378E02
O M66
2.0378E02
2.0378E02
O M67
2.0378E02
2.0378E02
With
0.000 0.000 0.000 6.3887E05 6.3887E05 1.8524E02 2.6619E04 2.6619E04
B
0.000 0.000 0.000 6.3887E05 6.3887E05 1.8524E02
2.6619E04 2.6619E04
C
0.000 0.000 0.000 6.388E05 6.388E05 1.8528E02 2.6619E04 2.6619E04
D
0.000 0.000 0.000 6.388E05 6.388E05 1.8548E02
2.6619E04 2.6619E04
B1 M6
0.000 0.000 0.000 2.8258E04 1.1555E03 1.2194E03 3.5045E05 1.5478E01
B1 M7
0.000 0.000 0.000 2.8258E04 1.1555E03 1.2194E03
3.5045E05 1.5478E01
D1 M61
1.5478E01
3.5045E05
D1 M73 0.000 0.000 0.000 1.1555E03 2.8258E04 1.2194E03
1.5478E01 3.5045E05
Difference
Not
NR
NR
NR
M
M
M
Q
Q
xx
yy
xy
xx
yy
xy
X
y
O M78
0.000 0.000 0.000 0.199%
0.199% 7.88E11 0.02
0.02
O M79
0.02
0.02
O M66
0.02
0.02
O M67
0.02
0.02
With
0.000 0.000 0.000 6.39E05 6.39E05 2.491% 2.66E04 2.66E04
B
0.000 0.000 0.000 6.39E05 6.39E05 2.491% 2.66E04 2.66E04
C
0.000 0.000 0.000 6.39E05 6.39E05 2.491% 2.66E04 2.66E04
D
0.000 0.000 0.000 6.39E05 6.39E05 2.491% 2.66E04 2.66E04
B1 M6
0.000 0.000 0.000 2.83E04
0.001 0.001
3.50E05
2.743%
B1 M7
0.000 0.000 0.000 2.83E04
0.001 0.001
3.50E05
2.743%
D1 M61
2.743% 3.50E05
D1 M73 0.000 0.000 0.000
0.001 2.83E04 0.001 2.743% 3.50E05
Handbook of Validation
V3.03 booklet: Linear statics of the plates and hulls
HI-75/01/010/A
Code_Aster ®
Version
6.0
Titrate:
SSLS118 - Square Plaque subjected to a sinusoidal pressure
Date:
16/11/01
Author (S):
P. MASSIN, NR. RAHNI Key
:
V3.03.118-A Page:
14/62
6.2 Parameters
of execution
Version: 6.0.37
Machine: SGI - ORIGIN 2000
Obstruction memory:
32 Mo
Time CPU To use:
5.74 seconds
7 Modeling
C
7.1
Characteristics of modeling
Triangular element of hull DKT.
The reference mark user is confused with the reference mark of orthotropism.
Limiting conditions:
DDL_IMPO
(GROUP_NO: AB, DX: 0., DZ: 0., DRY:0.)
(GROUP_NO: BC, DY: 0., DZ: 0., DRX:0.)
(GROUP_NO: CD, DX: 0., DZ: 0., DRY:0.)
(GROUP_NO: DA, DY: 0., DZ: 0., DRX:0.)
(GROUP_NO: O, DX: 0., DY: 0., DRX:0., DRY:0., DRZ:0.)
FORCE_ARETE
(GROUP_NO: AB MY:0.)
(GROUP_NO: BC MX:0.)
(GROUP_NO: CD MY:0.)
(GROUP_NO: DA MX:0.)
Handbook of Validation
V3.03 booklet: Linear statics of the plates and hulls
HI-75/01/010/A
Code_Aster ®
Version
6.0
Titrate:
SSLS118 - Square Plaque subjected to a sinusoidal pressure
Date:
16/11/01
Author (S):
P. MASSIN, NR. RAHNI Key
:
V3.03.118-A Page:
15/62
Not O
Meshs: M132, M156, M134, M158
Not A
Net: M1
Not B
Net: M266
Not C
Net: M288
Not D
Net: M23
Not B1
Meshs: M122, M146
Not D1
Meshs: M14, M11
7.2 Characteristics
grid
A number of nodes: 170
A number of meshs and type: 288 TRIA3
7.3 Functionalities
tested
Commands
AFFE_MODELE
“MECANIQUE”
“DKT”
MODI_MAILLAGE ORIE_NORME_COQUE
AFFE_CARA_ELEM HULL
EPAIS
ANGLE_REP
DEFI_MATERIAU ELAS
FORMULE
AFFE_CHAR_MECA FORCE_COQUE
PRES
DDL_IMPO
ANGLE_NAUT
GROUP_NO
FORCE_ARETE
MECA_STATIQUE
CREA_CHAMP
CALC_CHAM_ELEM SIGM_ELNO_DEPL
DEGE_ELNO_DEPL
Handbook of Validation
V3.03 booklet: Linear statics of the plates and hulls
HI-75/01/010/A
Code_Aster ®
Version
6.0
Titrate:
SSLS118 - Square Plaque subjected to a sinusoidal pressure
Date:
16/11/01
Author (S):
P. MASSIN, NR. RAHNI Key
:
V3.03.118-A Page:
16/62
8
Results of modeling C
8.1 Values
tested
Identification
Reference
Aster Difference
Tolerance
Not O
M134
on lower layer
18.990 19.003 0.073%
1.0%
xx
on lower layer
18.990 18.899
0.475%
1.0%
yy
on lower layer
0.000 4.428E02
0.044 0.01
xy
on lower layer
0.000 0.000 0.000
0.01
xz
on lower layer
0.000 0.000 0.000
0.01
yz
Constraints
on layer medium
0.000 0.000 0.000
0.01
xx
on layer medium
0.000 0.000 0.000
0.01
yy
on layer medium
0.000 0.000 0.000
0.01
xy
on layer medium
0.000 3.8507E01
0.385 0.4
xz
on layer medium
0.000 3.2121E01 0.321 0.4
yz
on higher layer
18.990 19.003 0.073% 1.0%
xx
on higher layer
18.990 18.899 0.475% 1.0%
yy
on higher layer
0.000 4.4282E02 0.044 0.05
xy
on higher layer
0.000 0.000 0.000
0.01
xz
on higher layer
0.000 0.000 0.000
0.01
yz
Displacement DZ
1.1549
1.1362
1.62%
2.0%
Not B1
M122
on lower layer
0.000 1.7562E01
0.176 0.2
xx
on lower layer
0.000 7.0248E01
0.702 0.8
yy
on lower layer
0.000 7.4243E01
0.742
0.8
xy
on lower layer
0.000 0.000 0.000 0.01
xz
on lower layer
0.000 0.000 0.000 0.01
yz
on layer medium
0.000 0.000 0.000 0.01
xx
on layer medium
0.000 0.000 0.000 0.01
yy
Constraints
on layer medium
0.000 0.000 0.000 0.01
xy
on layer medium
0.000 2.9390E01
0.294
0.3
xz
on layer medium
2.39732 2.3762 0.878% 2.0%
yz
on higher layer
0.000 1.7562E01 0.176
0.26
xx
on higher layer
0.000 7.0248
E01 0.702
0.8
yy
on higher layer
0.000 7.4243
E01 0.742
0.8
xy
on higher layer
0.000 0.000 0.000 0.01
xz
on higher layer
0.000 0.000 0.000 0.01
yz
Handbook of Validation
V3.03 booklet: Linear statics of the plates and hulls
HI-75/01/010/A
Code_Aster ®
Version
6.0
Titrate:
SSLS118 - Square Plaque subjected to a sinusoidal pressure
Date:
16/11/01
Author (S):
P. MASSIN, NR. RAHNI Key
:
V3.03.118-A Page:
17/62
Reference
Not
NR NR
NR
M
M
M
T
T
xx
yy
xy
xx
yy
xy
X
y
O M134 0.000 0.000 0.000 3.1662E02 3.1662E02
0.000 0.000 0.000
O M158
0.000
0.000
O M132
0.000
0.000
O M156
0.000
0.000
With
0.000 0.000 0.000
0.000
0.000 1.8997E02 0.000
0.000
B
0.000 0.000 0.000
0.000
0.000 1.8997E02 0.000
0.000
C
0.000 0.000 0.000
0.000
0.000 1.8997E02 0.000
0.000
D
0.000 0.000 0.000
0.000
0.000 1.8997E02 0.000
0.000
B1 M122 0.000 0.000 0.000
0.000
0.000 0.000 0.000
1.5915E01
B1 M146 0.000 0.000 0.000
0.000
0.000 0.000 0.000
1.5915E01
D1 M11
1.5915E01 0.000
D1 M14 0.000 0.000 0.000
0.000
0.000 0.000
1.5915E01
0.000
Aster
Not
NR NR
NR
M
M
M
Q
Q
xx
yy
xy
xx
yy
xy
X
y
O M134 0.000 0.000 0.000 3.1673E02 3.1499E02
7.38E05
2.567E02 2.1414E02
O M158
2.0275 E02
7.084 E03
O M132
2.567 E02
2.1414 E02
O M156
2.0275 E02
7.084 E03
With
0.000 0.000 0.000 8.33
E04
2.08 E04
1.8758 E02
3.4239 E02
6.153 E03
B
0.000 0.000 0.000 3.07
E18
3.26 E18
1.8431 E02
1.17 E04
1.17 E04
C
0.000 0.000 0.000 1.18
E16
1.13 E16
1.8431 E02
1.17 E04
1.17 E04
D
0.000 0.000 0.000 8.33
E04
2.08 E04
1.8758 E02
3.423 E02
6.153 E03
B1 M122 0.000 0.000 0.000 2.93
E04
1.170 E03
1.237 E03
1.9593 E02
1.5841 E01
B1 M146 0.000 0.000 0.000 9.19
E04
3.677 E03
1.0159 E03
1.8524 E02 1.5581 E01
D1 M11
1.2826 E01
2.3404 E02
D1 M14 0.000 0.000 0.000 2.289
E03
6.58 E04
8.50 E04
1.9585 E01
5.3227 E02
Difference
Not
NR NR
NR
M
M
M
Q
Q
xx
yy
xy
xx
yy
xy
X
y
O M134 0.000 0.000 0.000 0.033%
0.515% 7.38
E05 0.026
0.021
O M158
0.02
0.007
O M132
0.026
0.021
O M156
0.02
0.007
With
0.000 0.000 0.000 8.33
E04
2.08 E04
1.26%
0.034
0.006
B
0.000 0.000 0.000 3.07
E18 3.26
E18 2.98%
1.17 E04
1.17 E04
C
0.000 0.000 0.000 1.18
E16 1.13
E16
2.98%
1.17 E04
1.17 E04
D
0.000 0.000 0.000 8.33
E04
2.08 E04
1.26%
0.034
0.006
B1 M122 0.000 0.000 0.000 2.93
E04
0.001 0.001 0.02 0.463%
B1 M146 0.000 0.000 0.000 9.19
E04
0.004 0.001 0.019 2.101%
D1 M11
19.41%
0.023
D1 M14 0.000 0.000 0.000
23.059%
0.053
Handbook of Validation
V3.03 booklet: Linear statics of the plates and hulls
HI-75/01/010/A
Code_Aster ®
Version
6.0
Titrate:
SSLS118 - Square Plaque subjected to a sinusoidal pressure
Date:
16/11/01
Author (S):
P. MASSIN, NR. RAHNI Key
:
V3.03.118-A Page:
18/62
8.2 Parameters
of execution
Version: 6.0.37
Machine: SGI - ORIGIN 2000
Obstruction memory:
32 Mo
Time CPU To use:
7.38 seconds
9 Modeling
D
9.1
Characteristics of modeling
Triangular element of hull DST.
The reference mark user is confused with the reference mark of orthotropism.
Limiting conditions:
DDL_IMPO
(GROUP_NO: AB, DX: 0., DZ: 0., DRY:0.)
(GROUP_NO: BC, DY: 0., DZ: 0., DRX:0.)
(GROUP_NO: CD, DX: 0., DZ: 0., DRY:0.)
(GROUP_NO: DA, DY: 0., DZ: 0., DRX:0.)
(GROUP_NO: O, DX: 0., DY: 0., DRX:0., DRY:0., DRZ:0.)
FORCE_ARETE
(GROUP_NO: AB MY:0.)
(GROUP_NO: BC MX:0.)
(GROUP_NO: CD MY:0.)
(GROUP_NO: DA MX:0.)
Handbook of Validation
V3.03 booklet: Linear statics of the plates and hulls
HI-75/01/010/A
Code_Aster ®
Version
6.0
Titrate:
SSLS118 - Square Plaque subjected to a sinusoidal pressure
Date:
16/11/01
Author (S):
P. MASSIN, NR. RAHNI Key
:
V3.03.118-A Page:
19/62
Not O
Meshs: M132, M156, M134, M158
Not A
Net: M1
Not B
Net: M266
Not C
Net: M288
Not D
Net: M23
Not B1
Meshs: M122, M146
Not D1
Meshs: M14, M11
9.2 Characteristics
grid
A number of nodes: 170
A number of meshs and type: 288 TRIA3
9.3 Functionalities
tested
Commands
AFFE_MODELE
“MECANIQUE”
“DST”
MODI_MAILLAGE ORIE_NORME_COQUE
AFFE_CARA_ELEM HULL
EPAIS
ANGLE_REP
DEFI_MATERIAU ELAS
FORMULE
AFFE_CHAR_MECA FORCE_COQUE
PRES
DDL_IMPO
ANGLE_NAUT
GROUP_NO
FORCE_ARETE
MECA_STATIQUE
CREA_CHAMP
CALC_CHAM_ELEM SIGM_ELNO_DEPL
DEGE_ELNO_DEPL
Handbook of Validation
V3.03 booklet: Linear statics of the plates and hulls
HI-75/01/010/A
Code_Aster ®
Version
6.0
Titrate:
SSLS118 - Square Plaque subjected to a sinusoidal pressure
Date:
16/11/01
Author (S):
P. MASSIN, NR. RAHNI Key
:
V3.03.118-A Page:
20/62
10 Results of modeling D
10.1 Values
tested
Identification
Reference
Aster Difference
Tolerance
Not O
M134
on lower layer
18.990 18.872
0.62% 1.0%
xx
on lower layer
18.990 18.896
0.49% 1.0%
yy
on lower layer
0.000
2.61 E04
2.61 E04
0.01
xy
on lower layer
0.000 0.000 0.000
0.01
xz
on lower layer
0.000 0.000 0.000
0.01
yz
Constraints
on layer medium
0.000 0.000 0.000
0.01
xx
on layer medium
0.000 0.000 0.000
0.01
yy
on layer medium
0.000 0.000 0.000
0.01
xy
on layer medium
0.000 2.8134
E01
0.281
0.3
xz
on layer medium
0.000 3.0148
E01 0.301 0.4
yz
on higher layer
18.990 18.872 0.62% 1%
xx
on higher layer
18.990 18.896 0.49% 1%
yy
on higher layer
0.000
2.61 E04
2.61 E04
0.01
xy
on higher layer
0.000 0.000 0.000
0.01
xz
on higher layer
0.000 0.000 0.000
0.01
yz
Displacement DZ
1.1549
1.1951 3.487%
4.1%
Not B1
M122
on lower layer
0.000 5.2518
E01
0.525 0.8
xx
on lower layer
0.000 6.8948
E01
0.689 0.8
yy
on lower layer
0.000 7.305
E01
0.731
0.8
xy
on lower layer
0.000 0.000 0.000 0.01
xz
on lower layer
0.000 0.000 0.000 0.01
yz
on layer medium
0.000 0.000 0.000 0.01
xx
on layer medium
0.000 0.000 0.000 0.01
yy
Constraints
on layer medium
0.000 0.000 0.000 0.01
xy
on layer medium
0.000 4.900
E02
0.049
0.05
xz
on layer medium
2.39732 2.3421 2.3%
3%
yz
on higher layer
0.000 5.2518
E01 0.525
0.8
xx
on higher layer
0.000 6.8948
E01 0.689
0.8
yy
on higher layer
0.000 7.3051
E01 0.731
0.8
xy
on higher layer
0.000 0.000 0.000 0.01
xz
Handbook of Validation
V3.03 booklet: Linear statics of the plates and hulls
HI-75/01/010/A
Code_Aster ®
Version
6.0
Titrate:
SSLS118 - Square Plaque subjected to a sinusoidal pressure
Date:
16/11/01
Author (S):
P. MASSIN, NR. RAHNI Key
:
V3.03.118-A Page:
21/62
on higher layer
0.000 0.000 0.000 0.01
yz
Reference
Not
NR NR
NR
M
M
M
T
T
xx
yy
xy
xx
yy
xy
X
y
O M134 0.000 0.000 0.000 3.1662E02 3.1662E02
0.000 0.000 0.000
O M158
0.000
0.000
O M132
0.000
0.000
O M156
0.000
0.000
With
0.000 0.000 0.000
0.000
0.000 1.8997E02 0.000
0.000
B
0.000 0.000 0.000
0.000
0.000 1.8997E02 0.000
0.000
C
0.000 0.000 0.000
0.000
0.000 1.8997E02 0.000
0.000
D
0.000 0.000 0.000
0.000
0.000 1.8997E02 0.000
0.000
B1 M122 0.000 0.000 0.000
0.000
0.000 0.000 0.000
1.5915E01
B1 M146 0.000 0.000 0.000
0.000
0.000 0.000 0.000
1.5915E01
D1 M11
1.5915E01 0.000
D1 M14 0.000 0.000 0.000
0.000
0.000 0.000
1.5915E01
0.000
Aster
Not
NR NR
NR
M
M
M
Q
Q
xx
yy
xy
xx
yy
xy
X
y
O M134 0.000 0.000 0.000 3.1453
E02 3.1494 E02
4.36 E07
1.8756 E02
2.009 E02
O M158
2.2389 E02
1.7581 E02
O M132
1.8756 E02
2.009 E02
O M156
2.2389 E02
1.7581 E02
With
0.000 0.000 0.000 7.61
E04
1.6 E05
1.8869 E02
3.8490 E02
9.68 E04
B
0.000 0.000 0.000 2.69
E05
2.69 E05
1.8415 E02
1.87 E04
1.87 E04
C
0.000 0.000 0.000 2.69
E05
2.69 E05
1.8415 E02
1.87 E04
1.87 E04
D
0.000 0.000 0.000 7.61
E04
1.6 E05
1.8869 E02
3.849 E02
9.68 E04
B1 M122 0.000 0.000 0.000 8.75
E04
1.149 E03
1.217 E03
3.266 E03
1.5614 E01
B1 M146 0.000 0.000 0.000 2.21
E04
3.149 E03
9.47 E04
3.148 E03
1.5117 E01
D1 M11
1.4437 E01
4.336 E03
D1 M14 0.000 0.000 0.000 1.446
E03
4.34 E04
4.30 E04
1.6235 E01
9.371 E03
Difference
Not
NR NR
NR
M
M
M
Q
Q
xx
yy
xy
xx
yy
xy
X
y
O M134 0.000 0.000 0.000
0.66%
0.531% 4.36
E07 0.019
0.02
O M158
0.022
0.018
O M132
0.019
0.02
O M156
0.022
0.018
With
0.000 0.000 0.000 7.61
E04 1.6
E05 0.673% 0.038 9.68
E04
B
0.000 0.000 0.000 2.69
E05 2.69
E05 3.065%
1.87 E04
1.87 E04
C
0.000 0.000 0.000 2.69
E05 2.69
E05 3.065%
1.87 E04
1.87 E04
D
0.000 0.000 0.000 7.61
E04 1.6
E05 0.673% 0.038 9.68
E04
B1 M122 0.000 0.000 0.000 8.75
E04
0.001 0.001 0.003 1.891%
B1 M146 0.000 0.000 0.000 2.21
E04
0.003 9.47
E04 0.003 5.013%
D1 M11
9.29%
0.004
D1 M14 0.000 0.000 0.000
0.001
4.34
E04 4.30
E04 2.013%
0.009
Handbook of Validation
V3.03 booklet: Linear statics of the plates and hulls
HI-75/01/010/A
Code_Aster ®
Version
6.0
Titrate:
SSLS118 - Square Plaque subjected to a sinusoidal pressure
Date:
16/11/01
Author (S):
P. MASSIN, NR. RAHNI Key
:
V3.03.118-A Page:
22/62
10.2 Parameters
of execution
Version: 6.0.37
Machine: SGI - ORIGIN 2000
Obstruction memory:
32 Mo
Time CPU To use:
7.38 seconds
11 Modeling
E
11.1 Characteristics of modeling
Element of hull COQUE_3D triangle.
The reference mark user is confused with the reference mark of orthotropism.
Limiting conditions:
DDL_IMPO
(GROUP_NO: AB, DX: 0., DZ: 0., DRY:0.)
(GROUP_NO: BC, DY: 0., DZ: 0., DRX:0.)
(GROUP_NO: CD, DX: 0., DZ: 0., DRY:0.)
(GROUP_NO: DA, DY: 0., DZ: 0., DRX:0.)
(GROUP_NO: O, DX: 0., DY: 0., DRX:0., DRY:0., DRZ:0.)
FORCE_ARETE
(GROUP_NO: AB MY:0.)
(GROUP_NO: BC MX:0.)
(GROUP_NO: CD MY:0.)
(GROUP_NO: DA MX:0.)
Handbook of Validation
V3.03 booklet: Linear statics of the plates and hulls
HI-75/01/010/A
Code_Aster ®
Version
6.0
Titrate:
SSLS118 - Square Plaque subjected to a sinusoidal pressure
Date:
16/11/01
Author (S):
P. MASSIN, NR. RAHNI Key
:
V3.03.118-A Page:
23/62
Not O
Meshs: M132, M156, M134, M158
Not A
Net: M1
Not B
Net: M266
Not C
Net: M288
Not D
Net: M23
Not B1
Meshs: M122, M146
Not D1
Meshs: M14, M11
11.2 Characteristics
grid
A number of nodes: 626
A number of meshs and type: 288 TRIA6
11.3 Functionalities
tested
Commands
AFFE_MODELE
“MECANIQUE”
“COQUE_3D”
CREA_MAILLAGE MODI_MAILLE
“TRIA6_7”
MODI_MAILLAGE ORIE_NORME_COQUE
AFFE_CARA_ELEM HULL
EPAIS
ANGLE_REP
DEFI_MATERIAU ELAS
FORMULE
AFFE_CHAR_MECA FORCE_COQUE
PRES
DDL_IMPO
ANGLE_NAUT
GROUP_NO
FORCE_ARETE
MECA_STATIQUE
CREA_CHAMP
CALC_CHAM_ELEM SIGM_ELNO_DEPL
DEGE_ELNO_DEPL
Handbook of Validation
V3.03 booklet: Linear statics of the plates and hulls
HI-75/01/010/A
Code_Aster ®
Version
6.0
Titrate:
SSLS118 - Square Plaque subjected to a sinusoidal pressure
Date:
16/11/01
Author (S):
P. MASSIN, NR. RAHNI Key
:
V3.03.118-A Page:
24/62
12 Results of modeling E
12.1 Values
tested
Identification
Reference
Aster Difference
Tolerance
Not O
M134
on lower layer
18.990 18.920
0.364%
1.0%
xx
on lower layer
18.990 19.099 0.579 1.0%
yy
on lower layer
0.000 1.2540
E01
0.125
0.2
xy
on lower layer
0.000 1.688
E02
0.017 0.02
xz
on lower layer
0.000 7.210
E02 0.072 0.08
yz
Constraints
on layer medium
0.000
4e15
4e15
0.01
xx
on layer medium
0.000
2e14
2e14
0.01
yy
on layer medium
0.000
4e15
4e15
0.01
xy
on layer medium
0.000 1.688
E02
0.017 0.02
xz
on layer medium
0.000 7.210
E02 0.072 0.08
yz
on higher layer
18.990 18.920
0.364% 1.0%
xx
on higher layer
18.990 19.099 0.579% 1.0%
yy
on higher layer
0.000 1.2540
E01 0.125 0.2
xy
on higher layer
0.000 1.688
E02
0.017 0.02
xz
on higher layer
0.000 7.210
E02 0.072 0.08
yz
Displacement DZ
1.1549
1.2029 4.164%
4.2%
Not B1
M122
on lower layer
0.000 6.291
E02 0.063 0.08
xx
on lower layer
0.000 1.448
E01 0.145 0.2
yy
on lower layer
0.000 2.025
E02 0.02
0.03
xy
on lower layer
0.000 4.916
E02
0.049
0.05
xz
on lower layer
0.000 1.542
1.543
1.6
yz
on layer medium
0.000
5e16
5e16
0.01
xx
on layer medium
0.000
2e15
2e15
0.01
yy
Constraints
on layer medium
0.000
4e15
4e15
0.01
xy
on layer medium
0.000 4.916
E02
0.049
0.06
xz
on layer medium
2.39732 1.5426 35.651%
36.0%
yz
on higher layer
0.000 6.291
E02
0.063
0.08
xx
on higher layer
0.000 1.448
E01
0.145
0.2
yy
on higher layer
0.000 2.025
E02 0.02
0.03
xy
on higher layer
0.000 4.916
E02
0.049
0.05
xz
Handbook of Validation
V3.03 booklet: Linear statics of the plates and hulls
HI-75/01/010/A
Code_Aster ®
Version
6.0
Titrate:
SSLS118 - Square Plaque subjected to a sinusoidal pressure
Date:
16/11/01
Author (S):
P. MASSIN, NR. RAHNI Key
:
V3.03.118-A Page:
25/62
on higher layer
0.000 1.5426
1.543
1.6
yz
Reference
Not
NR NR
NR
M
M
M
T
T
xx
yy
xy
xx
yy
xy
X
y
O M134 0.000 0.000 0.000 3.1662E02 3.1662E02
0.000 0.000 0.000
O M158
0.000
0.000
O M132
0.000
0.000
O M156
0.000
0.000
With
0.000 0.000 0.000
0.000
0.000 1.8997E02 0.000
0.000
B
0.000 0.000 0.000
0.000
0.000 1.8997E02 0.000
0.000
C
0.000 0.000 0.000
0.000
0.000 1.8997E02 0.000
0.000
D
0.000 0.000 0.000
0.000
0.000 1.8997E02 0.000
0.000
B1 M122 0.000 0.000 0.000
0.000
0.000 0.000 0.000
1.5915E01
B1 M146 0.000 0.000 0.000
0.000
0.000 0.000 0.000
1.5915E01
D1 M11
1.5915E01 0.000
D1 M14 0.000 0.000 0.000
0.000
0.000 0.000
1.5915E01
0.000
Aster
Not
NR NR
NR
M
M
M
Q
Q
xx
yy
xy
xx
yy
xy
X
y
O M134 0.000 0.000 0.000 3.1534
E02 3.1833 E02
2.09 E04
1.688 E03
7.210 E03
O M158
1.494 E03
8.008 E03
O M132
1.283 E03
1.248 E03
O M156
1.910 E03
3.90 E04
With
0.000 0.000 0.000 3.69
E04
2.18 E04
1.9133 E02
5.387 E03
7.027 E03
B
0.000 0.000 0.000 1.71
E04
1.61 E04
1.8932 E02
1.511 E03
1.513 E03
C
0.000 0.000 0.000 1.70
E04
1.56 E04
1.8815 E02
1.463 E03
1.508 E03
D
0.000 0.000 0.000 3.66
E04
2.13 E04
1.8998 E02
5.066 E03
6.800 E03
B1 M122 0.000 0.000 0.000 1.04
E04
2.41 E04
3.4 E05
4.916 E03
1.5426 E01
B1 M146 0.000 0.000 0.000 2.9
E05
1.64 E04
6.5 E07
2.7681 E01
1.8932 E01
D1 M11
1.8488 E01
2.7113 E02
D1 M14 0.000 0.000 0.000 4.30
E04
3.07 E04
4.2 E05
1.4791 E01
1.1165 E02
Difference
Not
NR NR
NR
M
M
M
Q
Q
xx
yy
xy
xx
yy
xy
X
y
O M134 0.000 0.000 0.000 0.404%
0.538% 2.09
E04 0.002
0.007
O M158
0.001
0.008
O M132
0.001
0.001
O M156
0.002 3.90
E04
With
0.000 0.000 0.000 3.69
E04
2.18 E04
0.716%
0.005
0.007
B
0.000 0.000 0.000 1.71
E04
1.61 E04
0.344%
0.002
0.002
C
0.000 0.000 0.000 1.70
E04
1.56 E04
0.958%
0.001
0.002
D
0.000 0.000 0.000 3.66
E04
2.13 E04
0.003%
0.005
0.007
B1 M122 0.000 0.000 0.000 1.05
E04 2.41
E04 3.4
E05 0.005 3.072%
B1 M146 0.000 0.000 0.000 2.9
E05
1.65 E04
6.5 E07
0.028
18.955%
D1 M11
16.17%
0.027
D1 M14 0.000 0.000 0.000 4.31
E04
3.07 E04
4.2 E05
7.06%
0.011
Handbook of Validation
V3.03 booklet: Linear statics of the plates and hulls
HI-75/01/010/A
Code_Aster ®
Version
6.0
Titrate:
SSLS118 - Square Plaque subjected to a sinusoidal pressure
Date:
16/11/01
Author (S):
P. MASSIN, NR. RAHNI Key
:
V3.03.118-A Page:
26/62
12.2 Parameters
of execution
Version: 6.0.37
Machine: SGI - ORIGIN 2000
Obstruction memory:
32 Mo
Time CPU To use:
11.05 seconds
13 Modeling
F
13.1 Characteristics of modeling
Element of hull COQUE_3D quadrangle.
The reference mark user is confused with the reference mark of orthotropism.
Limiting conditions:
DDL_IMPO
(GROUP_NO: AB, DX: 0., DZ: 0., DRY:0.)
(GROUP_NO: BC, DY: 0., DZ: 0., DRX:0.)
(GROUP_NO: CD, DX: 0., DZ: 0., DRY:0.)
(GROUP_NO: DA, DY: 0., DZ: 0., DRX:0.)
(GROUP_NO: O, DX: 0., DY: 0., DRX:0., DRY:0., DRZ:0.)
FORCE_ARETE
(GROUP_NO: AB MY:0.)
(GROUP_NO: BC MX:0.)
(GROUP_NO: CD MY:0.)
(GROUP_NO: DA MX:0.)
Handbook of Validation
V3.03 booklet: Linear statics of the plates and hulls
HI-75/01/010/A
Code_Aster ®
Version
6.0
Titrate:
SSLS118 - Square Plaque subjected to a sinusoidal pressure
Date:
16/11/01
Author (S):
P. MASSIN, NR. RAHNI Key
:
V3.03.118-A Page:
27/62
Not O
Meshs: M66, M67, M78, M79
Not A
Net: M1
Not B
Net: M12
Not C
Net: M144
Not D
Net: M133
Not B1
Meshs: M6, M7
Not D1
Meshs: M73, M61
13.2 Characteristics
grid
A number of nodes: 482
A number of meshs and type: 144 QUAD8
13.3 Functionalities
tested
Commands
AFFE_MODELE
“MECANIQUE”
“COQUE_3D”
CREA_MAILLAGE MODI_MAILLE
“QUAD8_9”
AFFE_CARA_ELEM HULL
EPAIS
ANGLE_REP
DEFI_MATERIAU ELAS
FORMULE
AFFE_CHAR_MECA FORCE_COQUE
PRES
DDL_IMPO
ANGLE_NAUT
GROUP_NO
FORCE_ARETE
MECA_STATIQUE
CREA_CHAMP
CALC_CHAM_ELEM SIGM_ELNO_DEPL
DEGE_ELNO_DEPL
Handbook of Validation
V3.03 booklet: Linear statics of the plates and hulls
HI-75/01/010/A
Code_Aster ®
Version
6.0
Titrate:
SSLS118 - Square Plaque subjected to a sinusoidal pressure
Date:
16/11/01
Author (S):
P. MASSIN, NR. RAHNI Key
:
V3.03.118-A Page:
28/62
14 Results of modeling F
14.1 Values
tested
Identification
Reference
Aster Difference
Tolerance
Not O
M78
on lower layer
18.990 19.306 1.665%
2.0%
xx
on lower layer
18.990 19.763 4.073%
5.0%
yy
on lower layer
0.000 5.19
E01
0.52
0.6
xy
on lower layer
0.000 4.85
E02
0.049 0.06
xz
on lower layer
0.000 1.4700 0.147 0.2
yz
Constraints
on layer medium
0.000
8.9 E15
8.9 E15
0.01
xx
on layer medium
0.000
1.0 E14
1.0 E14
0.01
yy
on layer medium
0.000
1.8 E14
1.8 E14
0.01
xy
on layer medium
0.000 4.85
E02
0.049 0.1
xz
on layer medium
0.000 1.470
E01 0.147 0.2
yz
on higher layer
18.990 19.306 1.665% 2.0%
xx
on higher layer
18.990 19.763 4.073% 5.0%
yy
on higher layer
0.000 5.199
E01 0.520 0.6
xy
on higher layer
0.000 4.853
E02
0.049 0.06
xz
on higher layer
0.000 1.470
E01 0.147 0.2
yz
Displacement DZ
1.1549
1.2038
4.24%
4.5%
Not B1
M6
on lower layer
0.000 1.924
E02 0.019 0.05
xx
on lower layer
0.000 3.190
E02 0.032 0.05
yy
on lower layer
0.000 3.526
E02
0.035
0.05
xy
on lower layer
0.000 3.425
E03
0.003
0.01
xz
on lower layer
0.000 1.671
1.671
2.0
yz
on layer medium
0.000
4.2 E015
4.2 E15
0.01
xx
on layer medium
0.000
1.6 E14
1.6 E14
0.01
yy
Constraints
on layer medium
0.000
1.2 E14
1.2 E14
0.01
xy
on layer medium
0.000 3.425
E03
0.003
0.01
xz
on layer medium
2.39732 1.671 30.274%
35.0%
yz
on higher layer
0.000 1.924
E02
0.019
0.05
xx
on higher layer
0.000 3.190
E02
0.032
0.05
yy
on higher layer
0.000 3.526
E02 0.035
0.05
xy
on higher layer
0.000 3.425
E03
0.003
0.01
xz
Handbook of Validation
V3.03 booklet: Linear statics of the plates and hulls
HI-75/01/010/A
Code_Aster ®
Version
6.0
Titrate:
SSLS118 - Square Plaque subjected to a sinusoidal pressure
Date:
16/11/01
Author (S):
P. MASSIN, NR. RAHNI Key
:
V3.03.118-A Page:
29/62
on higher layer
0.000 1.671
1.671
2.0
yz
Reference
Not
NR
NR
NR
M
M
M
T
T
xx
yy
xy
xx
yy
xy
X
y
O M78
0.000 0.000 0.000 3.1662E02
3.1662E02
0.000 0.000 0.000
O M79
0.000
0.000
O M66
0.000
0.000
O M67
0.000
0.000
With
0.000 0.000 0.000
0.000
0.000 1.8997E02 0.000
0.000
B
0.000 0.000 0.000
0.000
0.000 1.8997E02 0.000
0.000
C
0.000 0.000 0.000
0.000
0.000 1.8997E02 0.000
0.000
D
0.000 0.000 0.000
0.000
0.000 1.8997E02 0.000
0.000
B1 M6
0.000 0.000 0.000
0.000
0.000 0.000 0.000
1.5915E01
B1 M7
0.000 0.000 0.000
0.000
0.000 0.000 0.000
1.5915E01
D1 M61
1.5915E01 0.000
D1 M73 0.000 0.000 0.000
0.000
0.000 0.000
1.5915E01
0.000
Aster
Not
NR
NR
NR
M
M
M
Q
Q
xx
yy
xy
xx
yy
xy
X
y
O M78
0.000 0.000 0.000 3.2177
E02 3.2939 E02
8.66 E04
4.853 E03
1.4700 E02
O M79
2.326
E03
1.3977
E02
O M66
1.927
E03
1.4404
E02
O M67
5.255
E03
1.5122
E02
With
0.000 0.000 0.000 6.2
E08
6.2 E08
1.9225 E02
1.63 E04
1.26 E04
B
0.000 0.000 0.000 7.7
E08
8.5 E08
1.9315 E02
2.11 E04
8.0 E05
C
0.000 0.000 0.000 8.7
E08
7.7 E08
1.8856 E02
3.0 E07
1.70 E04
D
0.000 0.000 0.000 6.7
E08
6.0 E08
1.8705 E02
2.49 E05
2.17 E05
B1 M6
0.000 0.000 0.000 3.20
E05
5.31 E05
5.87 E05
3.42 E04
1.6715 E01
B1 M7
0.000 0.000 0.000 3.20
E05
5.31 E05
2.24 E05
3.32 E04
1.6714 E01
D1 M61
1.5743
E01
2.81
E04
D1 M73 0.000 0.000 0.000 1.72
E05
2.15 E05
2.34 E04
1.5743 E01
3.12 E04
Difference
Not
NR
NR
NR
M
M
M
Q
Q
xx
yy
xy
xx
yy
xy
X
y
O M78
0.000 0.000 0.000
1.624%
4.031% 8.67
E04 0.005
0.015
O M79
0.002
0.014
O M66
0.002
0.014
O M67
0.005
0.015
With
0.000 0.000 0.000 6.2
E08 6.2
E08 1.192% 1.63 E04
1.26 E04
B
0.000 0.000 0.000 7.7
E08 8.5
E08 1.672% 2.11 E04
8.0 E05
C
0.000 0.000 0.000 8.7
E08 7.7
E08 0.742% 3.0 E07
1.70 E04
D
0.000 0.000 0.000 6.7
E08 6.0
E08 1.541% 2.49 E05
2.17 E05
B1 M6
0.000 0.000 0.000 3.20
E05
5.31 E05
8.87 E05 3.42
E04 5.026%
B1 M7
0.000 0.000 0.000 3.20
E05
5.31 E05
2.24 E05 3.32
E04 5.023%
D1 M61
1.078% 2.81
E04
D1 M73 0.000 0.000 0.000 1.73
E05
2.15 E05
2.34 E04 1.082% 3.12
E04
Handbook of Validation
V3.03 booklet: Linear statics of the plates and hulls
HI-75/01/010/A
Code_Aster ®
Version
6.0
Titrate:
SSLS118 - Square Plaque subjected to a sinusoidal pressure
Date:
16/11/01
Author (S):
P. MASSIN, NR. RAHNI Key
:
V3.03.118-A Page:
30/62
14.2 Parameters
of execution
Version: 6.0.37
Machine: SGI - ORIGIN 2000
Obstruction memory:
32 Mo
Time CPU To use:
9.83 seconds
15 Modeling
G
15.1 Characteristics of modeling
Triangular element of hull DST.
The model of plate associated with modeling D is turned of 20 degrees according to the nautical angle
alpha and of 30 degrees according to beta. The classification of the meshs is identical to that of
modeling D.
Limiting conditions:
LIAISON_OBLIQUE
(GROUP_NO: AB, ANGL_NAUT= (20., 30., 0.), DX: 0., DZ: 0., DRY:0.)
(GROUP_NO: BC, ANGL_NAUT= (20., 30., 0.), DY: 0., DZ: 0., DRX:0.)
(GROUP_NO: CD, ANGL_NAUT= (20., 30., 0.), DX: 0., DZ: 0., DRY:0.)
(GROUP_NO: DA, ANGL_NAUT= (20., 30., 0.), DY: 0., DZ: 0., DRX:0.)
(GROUP_NO: O, ANGL_NAUT= (20., 30., 0.), DX: 0., DY: 0., DRX:0., DRY:0., DRZ:0.)
FORCE_ARETE
(GROUP_NO: AB MY:0.)
(GROUP_NO: BC MX:0.)
(GROUP_NO: CD MY:0.)
(GROUP_NO: DA MX:0.)
Handbook of Validation
V3.03 booklet: Linear statics of the plates and hulls
HI-75/01/010/A
Code_Aster ®
Version
6.0
Titrate:
SSLS118 - Square Plaque subjected to a sinusoidal pressure
Date:
16/11/01
Author (S):
P. MASSIN, NR. RAHNI Key
:
V3.03.118-A Page:
31/62
Not O
Meshs: M132, M156, M134, M158
Not A
Net: M1
Not B
Net: M266
Not C
Net: M288
Not D
Net: M23
Not B1
Meshs: M122, M146
Not D1
Meshs: M14, M11
15.2 Characteristics
grid
A number of nodes: 170
A number of meshs and type: 288 TRIA3
15.3 Functionalities
tested
Commands
AFFE_MODELE
“MECANIQUE”
“DST”
MODI_MAILLAGE ORIE_NORME_COQUE
AFFE_CARA_ELEM HULL
EPAIS
ANGLE_REP
DEFI_MATERIAU ELAS
FORMULE
AFFE_CHAR_MECA FORCE_COQUE
PRES
LIAISON_OBLIQUE
ANGLE_NAUT
GROUP_NO
FORCE_ARETE
MECA_STATIQUE
CREA_CHAMP
CALC_CHAM_ELEM SIGM_ELNO_DEPL
DEGE_ELNO_DEPL
15.4 Remarks
The value of reference of displacement to the point O is obtained by projecting calculated displacement
for modeling D in the reference mark turned (displacement for modeling D being vertical, it
new displacement is a function of the projection of axis Z).
In the local reference mark, the projection of axis Z is as follows:
sin cos
sin sin, with = 20. and =
.
30
cos
In addition, the expression of the sinusoidal pressure in the turned reference mark becomes:
Error! Objects cannot be created starting from the field codes of working.
Handbook of Validation
V3.03 booklet: Linear statics of the plates and hulls
HI-75/01/010/A
Code_Aster ®
Version
6.0
Titrate:
SSLS118 - Square Plaque subjected to a sinusoidal pressure
Date:
16/11/01
Author (S):
P. MASSIN, NR. RAHNI Key
:
V3.03.118-A Page:
32/62
16 Results of modeling G
16.1 Values
tested
Identification
Reference
Aster Difference
Tolerance
Not O
M134
on lower layer
18.990 18.872
0.62% 1.0%
xx
on lower layer
18.990 18.896
0.49% 1.0%
yy
on lower layer
0.000
2.61 E04
2.61 E04
0.2
xy
on lower layer
0.000 0.000 0.000
0.02
xz
on lower layer
0.000 0.000 0.000
0.08
yz
Constraints
on layer medium
0.000
3. E14
3. E14
0.01
xx
on layer medium
0.000
7. E14
7. E14
0.01
yy
on layer medium
0.000
8. E14
8. E14
0.01
xy
on layer medium
0.000 2.8134
E01
0.281
0.02
xz
on layer medium
0.000 3.0148
E01 0.301 0.08
yz
on higher layer
18.990 18.872 0.62% 1.0%
xx
on higher layer
18.990 18.896 0.49 1.0%
yy
on higher layer
0.000
2.61 E04
2.61 E04
0.2
xy
on higher layer
0.000 0.000 0.000
0.02
xz
on higher layer
0.000 0.000 0.000
0.08
yz
Displacement DZ
1.0002
1.0350 3.484%
4.2%
Not B1
M122
on lower layer
0.000 5.2518
E01
0.525 0.08
xx
on lower layer
0.000 6.8948
E01
0.689 0.2
yy
on lower layer
0.000 7.305
E01
0.731
0.03
xy
on lower layer
0.000 0.000 0.000 0.05
xz
on lower layer
0.000 0.000 0.000 1.6
yz
on layer medium
0.000
1. E15
1. E15
0.01
xx
on layer medium
0.000
4. E15
4. E15
0.01
yy
Constraints
on layer medium
0.000
9. E15
9. E15
0.01
xy
on layer medium
0.000 4.900
E02
0.049
0.06
xz
on layer medium
2.39732 2.3421 2.3% 36.0%
yz
on higher layer
0.000 5.2518
E01 0.525
0.08
xx
on higher layer
0.000 6.8948
E01 0.689
0.2
yy
on higher layer
0.000 7.3051
E01 0.731
0.03
xy
on higher layer
0.000 0.000 0.000 0.05
xz
on higher layer
0.000 0.000 0.000 1.6
yz
Handbook of Validation
V3.03 booklet: Linear statics of the plates and hulls
HI-75/01/010/A
Code_Aster ®
Version
6.0
Titrate:
SSLS118 - Square Plaque subjected to a sinusoidal pressure
Date:
16/11/01
Author (S):
P. MASSIN, NR. RAHNI Key
:
V3.03.118-A Page:
33/62
Reference
Not
NR NR
NR
M
M
M
T
T
xx
yy
xy
xx
yy
xy
X
y
O M134 0.000 0.000 0.000 3.1662E02
3.1662E02 0.000
0.000
0.000
O M158
0.000
0.000
O M132
0.000
0.000
O M156
0.000
0.000
With
0.000 0.000 0.000
0.000
0.000 1.8997E02 0.000
0.000
B
0.000 0.000 0.000
0.000
0.000 1.8997E02 0.000
0.000
C
0.000 0.000 0.000
0.000
0.000 1.8997E02 0.000
0.000
D
0.000 0.000 0.000
0.000
0.000 1.8997E02 0.000
0.000
B1 M122 0.000 0.000 0.000
0.000
0.000 0.000 0.000
1.5915E01
B1 M146 0.000 0.000 0.000
0.000
0.000 0.000 0.000
1.5915E01
D1 M11
1.5915E01 0.000
D1 M14 0.000 0.000 0.000
0.000
0.000 0.000
1.5915E01
0.000
Aster
Not
NR NR
NR
M
M
M
Q
Q
xx
yy
xy
xx
yy
xy
X
y
O M134 0.000 0.000 0.000 3.1453
E02
3.1494 E02
4.36 E07
1.8756 E02
2.009 E02
O M158
2.2389 E02
1.7581 E02
O M132
1.8756 E02
2.009 E02
O M156
2.2389 E02
1.7581 E02
With
0.000 0.000 0.000 7.61
E04
1.6 E05
1.8869 E02
3.8490 E02
9.68 E04
B
0.000 0.000 0.000 2.69
E05
2.69 E05
1.8415 E02
1.87 E04
1.87 E04
C
0.000 0.000 0.000 2.69
E05
2.69 E05
1.8415 E02
1.87 E04
1.87 E04
D
0.000 0.000 0.000 7.61
E04
1.6 E05
1.8869 E02
3.849 E02
9.68 E04
B1 M122 0.000 0.000 0.000 8.75
E04
1.149 E03
1.217 E03
3.266 E03
1.5614 E01
B1 M146 0.000 0.000 0.000 2.21
E04
3.149 E03
9.47 E04
3.148 E03
1.5117 E01
D1 M11
1.4437 E01
4.336 E03
D1 M14 0.000 0.000 0.000 1.446
E03
4.34 E04
4.30 E04
1.6235 E01
9.371 E03
Difference
Not
NR
NR
NR
M
M
M
Q
Q
xx
yy
xy
xx
yy
xy
X
y
O M134 0.000 0.000 0.000 0.66%
0.531% 4.36
E07 0.019
0.02
O M158
0.022
0.018
O M132
0.019
0.02
O M156
0.022
0.018
With
0.000 0.000 0.000 7.61
E04 1.6
E05 0.673% 0.038
9.68
E04
B
0.000 0.000 0.000 2.69
E05 2.69
E05 3.065% 1.87 E04
1.87 E04
C
0.000 0.000 0.000 2.69
E05 2.69
E05 3.065% 1.87 E04
1.87 E04
D
0.000 0.000 0.000 7.61
E04 1.6
E05 0.673% 0.038 9.68
E04
B1 M122 0.000 0.000 0.000 8.75
E04
0.001 0.001 0.003
1.891%
B1 M146 0.000 0.000 0.000 2.21
E04
0.003 9.47
E04 0.003 5.013%
D1 M11
9.29%
0.004
D1 M14 0.000 0.000 0.000
0.001
4.34
E04 4.30
E04 2.013%
0.009
Handbook of Validation
V3.03 booklet: Linear statics of the plates and hulls
HI-75/01/010/A
Code_Aster ®
Version
6.0
Titrate:
SSLS118 - Square Plaque subjected to a sinusoidal pressure
Date:
16/11/01
Author (S):
P. MASSIN, NR. RAHNI Key
:
V3.03.118-A Page:
34/62
16.2 Parameters
of execution
Version: 6.0.37
Machine: SGI - ORIGIN 2000
Obstruction memory:
32 Mo
Time CPU To use:
7.98 seconds
17 Modeling
H
17.1 Characteristics of modeling
Triangular element of hull COQUE_3D.
The model of plate associated with modeling E is turned of 20 degrees according to the nautical angle
alpha and of 30 degrees according to beta. The classification of the meshs is identical to that of
modeling E.
Limiting conditions:
LIAISON_OBLIQUE
(GROUP_NO: AB, ANGL_NAUT= (20., 30., 0.), DX: 0., DZ: 0., DRY:0.)
(GROUP_NO: BC, ANGL_NAUT= (20., 30., 0.), DY: 0., DZ: 0., DRX:0.)
(GROUP_NO: CD, ANGL_NAUT= (20., 30., 0.), DX: 0., DZ: 0., DRY:0.)
(GROUP_NO: DA, ANGL_NAUT= (20., 30., 0.), DY: 0., DZ: 0., DRX:0.)
(GROUP_NO: O, ANGL_NAUT= (20., 30., 0.), DX: 0., DY: 0., DRX:0., DRY:0., DRZ:0.)
FORCE_ARETE
(GROUP_NO: AB MY:0.)
(GROUP_NO: BC MX:0.)
(GROUP_NO: CD MY:0.)
(GROUP_NO: DA MX:0.)
Handbook of Validation
V3.03 booklet: Linear statics of the plates and hulls
HI-75/01/010/A
Code_Aster ®
Version
6.0
Titrate:
SSLS118 - Square Plaque subjected to a sinusoidal pressure
Date:
16/11/01
Author (S):
P. MASSIN, NR. RAHNI Key
:
V3.03.118-A Page:
35/62
Not O
Meshs: M132, M156, M134, M158
Not A
Net: M1
Not B
Net: M266
Not C
Net: M288
Not D
Net: M23
Not B1
Meshs: M122, M146
Not D1
Meshs: M14, M11
17.2 Characteristics
grid
A number of nodes: 626
A number of meshs and type: 288 TRIA6
17.3 Functionalities
tested
Commands
AFFE_MODELE
“MECANIQUE”
“COQUE_3D”
CREA_MAILLAGE MODI_MAILLE
“TRIA6_7”
MODI_MAILLAGE ORIE_NORME_COQUE
AFFE_CARA_ELEM HULL
EPAIS
ANGLE_REP
DEFI_MATERIAU ELAS
FORMULE
AFFE_CHAR_MECA FORCE_COQUE
PRES
LIAISON_OBLIQUE
ANGLE_NAUT
GROUP_NO
FORCE_ARETE
MECA_STATIQUE
CREA_CHAMP
CALC_CHAM_ELEM SIGM_ELNO_DEPL
DEGE_ELNO_DEPL
17.4 Remarks
The value of reference of displacement to the point O is obtained by projecting calculated displacement
for modeling E in the reference mark turned (displacement for modeling E being vertical, it
new displacement is a function of the projection of axis Z).
In the local reference mark, the projection of axis Z is as follows:
sin cos
sin sin, with = 20. and =
.
30
cos
In addition, the expression of the sinusoidal pressure in the turned reference mark becomes:
cos cos X + sin cos y - sin Z
cos y - sin X
P = F sin
0
sin
has
has
Handbook of Validation
V3.03 booklet: Linear statics of the plates and hulls
HI-75/01/010/A
Code_Aster ®
Version
6.0
Titrate:
SSLS118 - Square Plaque subjected to a sinusoidal pressure
Date:
16/11/01
Author (S):
P. MASSIN, NR. RAHNI Key
:
V3.03.118-A Page:
36/62
18 Results of modeling H
18.1 Values
tested
Identification
Reference
Aster Difference
Tolerance
Not O
M134
on lower layer
18.990 18.920
0.364%
1.0%
xx
on lower layer
18.990 19.099 0.579 1.0%
yy
on lower layer
0.000 1.2540
E01
0.125
0.01
xy
on lower layer
0.000 1.688
E02
0.017 0.01
xz
on lower layer
0.000 7.210
E02 0.072 0.01
yz
Constraints
on layer medium
0.000 1.E13 1.
E13
0.01
xx
on layer medium
0.000
3. E14
3. E14
0.01
yy
on layer medium
0.000
2. E13
2. E13
0.01
xy
on layer medium
0.000 1.688
E02
0.017 0.02
xz
on layer medium
0.000 7.210
E02 0.072 0.08
yz
on higher layer
18.990 18.920
0.364% 1%
xx
on higher layer
18.990 19.099 0.579% 1%
yy
on higher layer
0.000 1.2540
E01 0.125 0.2
xy
on higher layer
0.000 1.688
E02
0.017 0.02
xz
on higher layer
0.000 7.210
E02 0.072 0.08
yz
Displacement DZ
1.0002
1.0418 4.161%
4.2%
Not B1
M122
on lower layer
0.000 6.291
E02 0.063 0.08
xx
on lower layer
0.000 1.448
E01 0.145 0.2
yy
on lower layer
0.000 2.025
E02 0.02
0.03
xy
on lower layer
0.000 4.916
E02
0.049
0.05
xz
on lower layer
0.000 1.542
E01
1.543
1.6
yz
on layer medium
0.000
2. E14
2. E14
0.01
xx
on layer medium
0.000
8. E14
8. E14
0.01
yy
Constraints
on layer medium
0.000
2. E15
2. E15
0.01
xy
on layer medium
0.000 4.916
E02
0.049
0.06
xz
on layer medium
2.39732 1.5426 35.651%
36%
yz
on higher layer
0.000 6.291
E02
0.063
0.08
xx
on higher layer
0.000 1.448
E01
0.145
0.2
yy
on higher layer
0.000 2.025
E02 0.02
0.03
xy
on higher layer
0.000 4.916
E02
0.049
0.05
xz
on higher layer
0.000 1.5426
1.543
1.6
yz
Handbook of Validation
V3.03 booklet: Linear statics of the plates and hulls
HI-75/01/010/A
Code_Aster ®
Version
6.0
Titrate:
SSLS118 - Square Plaque subjected to a sinusoidal pressure
Date:
16/11/01
Author (S):
P. MASSIN, NR. RAHNI Key
:
V3.03.118-A Page:
37/62
Reference
Not
NR NR
NR
M
M
M
T
T
xx
yy
xy
xx
yy
xy
X
y
O M134 0.000 0.000 0.000 3.1662E02 3.1662E02
0.000 0.000 0.000
O M158
0.000
0.000
O M132
0.000
0.000
O M156
0.000
0.000
With
0.000 0.000 0.000
0.000
0.000 1.8997E02 0.000
0.000
B
0.000 0.000 0.000
0.000
0.000 1.8997E02
0.000
0.000
C
0.000 0.000 0.000
0.000
0.000 1.8997E02 0.000
0.000
D
0.000 0.000 0.000
0.000
0.000 1.8997E02
0.000
0.000
B1 M122 0.000 0.000 0.000
0.000
0.000 0.000 0.000 1.5915E01
B1 M146 0.000 0.000 0.000
0.000
0.000 0.000 0.000 1.5915E01
D1 M11
1.5915E01
0.000
D1 M14 0.000 0.000 0.000
0.000
0.000 0.000 1.5915E01
0.000
Aster
Not
NR NR
NR
M
M
M
Q
Q
xx
yy
xy
xx
yy
xy
X
y
O M134 0.000 0.000 0.000 3.1534
E02 3.1833 E02
2.09 E04
1.688 E03
7.210 E03
O M158
1.494 E03
8.008 E03
O M132
1.283 E03
1.248 E03
O M156
1.910 E03
3.90 E04
With
0.000 0.000 0.000 3.69
E04
2.18 E04
1.9133 E02
5.387 E03
7.027 E03
B
0.000 0.000 0.000 1.71
E04
1.61 E04
1.8932 E02
1.511 E03
1.513 E03
C
0.000 0.000 0.000 1.70
E04
1.56 E04
1.8815 E02
1.463 E03
1.508 E03
D
0.000 0.000 0.000 3.66
E04
2.13 E04
1.8998 E02
5.066 E03
6.800 E03
B1 M122 0.000 0.000 0.000 1.04
E04
2.41 E04
3.4 E05
4.916 E03
1.5426 E01
B1 M146 0.000 0.000 0.000 2.9
E05
1.64 E04
6.5 E07
2.7681 E01
1.8932 E01
D1 M11
1.8488 E01
2.7113 E02
D1 M14 0.000 0.000 0.000 4.30
E04
3.07 E04
4.2 E05
1.4791 E01
1.1165 E02
Difference
Not
NR NR
NR
M
M
M
Q
Q
xx
yy
xy
xx
yy
xy
X
y
O M134 0.000 0.000 0.000 0.404%
0.538% 2.09
E04 0.002
0.007
O M158
0.001
0.008
O M132
0.001
0.001
O M156
0.002
3.90
E04
With
0.000 0.000 0.000 3.69
E04
2.18 E04
0.716%
0.005
0.007
B
0.000 0.000 0.000 1.71
E04
1.61 E04
0.344%
0.002
0.002
C
0.000 0.000 0.000 1.70
E04
1.56 E04
0.958%
0.001
0.002
D
0.000 0.000 0.000 3.66
E04
2.13 E04
0.003%
0.005
0.007
B1 M122 0.000 0.000 0.000 1.05
E04 2.41
E04 3.4
E05 0.005 3.072%
B1 M146 0.000 0.000 0.000 2.9
E05 1.65 E04
6.5 E07
0.028
18.955%
D1 M11
16.17%
0.027
D1 M14 0.000 0.000 0.000 4.31
E04 3.07
E04 4.2
E05 7.06%
0.011
Handbook of Validation
V3.03 booklet: Linear statics of the plates and hulls
HI-75/01/010/A
Code_Aster ®
Version
6.0
Titrate:
SSLS118 - Square Plaque subjected to a sinusoidal pressure
Date:
16/11/01
Author (S):
P. MASSIN, NR. RAHNI Key
:
V3.03.118-A Page:
38/62
18.2 Parameters
of execution
Version: 6.0.37
Machine: SGI - ORIGIN 2000
Obstruction memory:
32 Mo
Time CPU To use:
11.9 seconds
19 Modeling
I
19.1 Characteristics of modeling
Quadrangular element of hull DSQ. The plate is modelled with a grid 24x24.
The reference mark user is confused with the reference mark of orthotropism.
Limiting conditions:
DDL_IMPO
(GROUP_NO: AB, DX: 0., DZ: 0., DRY:0.)
(GROUP_NO: BC, DY: 0., DZ: 0., DRX:0.)
(GROUP_NO: CD, DX: 0., DZ: 0., DRY:0.)
(GROUP_NO: DA, DY: 0., DZ: 0., DRX:0.)
(GROUP_NO: O, DX: 0., DY: 0., DRX:0., DRY:0., DRZ:0.)
FORCE_ARETE
(GROUP_NO: AB MY:0.)
(GROUP_NO: BC MX:0.)
(GROUP_NO: CD MY:0.)
(GROUP_NO: DA MX:0.)
Handbook of Validation
V3.03 booklet: Linear statics of the plates and hulls
HI-75/01/010/A
Code_Aster ®
Version
6.0
Titrate:
SSLS118 - Square Plaque subjected to a sinusoidal pressure
Date:
16/11/01
Author (S):
P. MASSIN, NR. RAHNI Key
:
V3.03.118-A Page:
39/62
Not O
Meshs: M276, M277, M300, M301
Not A
Net: M1
Not B
Net: M24
Not C
Net: M576
Not D
Net: M553
Not B1
Meshs: M12, M13
Not D1
Meshs: M289, M265
19.2 Characteristics
grid
A number of nodes: 626
A number of meshs and type: 576 QUAD4
19.3 Functionalities
tested
Commands
AFFE_MODELE
“MECANIQUE”
“DST”
AFFE_CARA_ELEM HULL
EPAIS
ANGLE_REP
DEFI_MATERIAU ELAS
FORMULE
AFFE_CHAR_MECA FORCE_COQUE
PRES
DDL_IMPO
ANGLE_NAUT
GROUP_NO
FORCE_ARETE
MECA_STATIQUE
CREA_CHAMP
CALC_CHAM_ELEM SIGM_ELNO_DEPL
DEGE_ELNO_DEPL
Handbook of Validation
V3.03 booklet: Linear statics of the plates and hulls
HI-75/01/010/A
Code_Aster ®
Version
6.0
Titrate:
SSLS118 - Square Plaque subjected to a sinusoidal pressure
Date:
16/11/01
Author (S):
P. MASSIN, NR. RAHNI Key
:
V3.03.118-A Page:
40/62
20 Results of modeling I
20.1 Values
tested
Identification
Reference
Aster Difference
Tolerance
Not O
M300
on lower layer
18.990 18.989
0.005%
1.0%
xx
on lower layer
18.990 18.989
0.005%
1.0%
yy
on lower layer
0.000 1.0
E14
1.0E14
0.01
xy
on lower layer
0.000 0.000 0.000
0.01
xz
on lower layer
0.000 0.000 0.000
0.01
yz
Constraints
on layer medium
0.000 0.000 0.000
0.01
xx
on layer medium
0.000 0.000 0.000
0.01
yy
on layer medium
0.000 0.000 0.000
0.01
xy
on layer medium
0.000 0.1554
0.155 0.26
xz
on layer medium
0.000 0.1554 0.155 0.26
yz
on higher layer
18.990 18.989 0.005 1.0%
xx
on higher layer
18.990 18.989 0.005 1.0%
yy
on higher layer
0.000 1.0
E14 1.0E14
0.01
xy
on higher layer
0.000 0.000 0.000
0.01
xz
on higher layer
0.000 0.000 0.000
0.01
yz
Displacement DZ
1.1549
1.2120
4.95%
5.0%
Not B1
M12
on lower layer
0.000 9.1146
E02
0.091 0.1
xx
on lower layer
0.000 3.6678
E01
0.367 0.4
yy
on lower layer
0.000 3.7119
E01
0.371
0.74
xy
on lower layer
0.000 0.000 0.000 0.01
xz
on lower layer
0.000 0.000 0.000 0.01
yz
on layer medium
0.000 0.000 0.000 0.01
xx
on layer medium
0.000 0.000 0.000 0.01
yy
Constraints
on layer medium
0.000 0.000 0.000 0.01
xy
on layer medium
0.000
3.80 E05
3.80 E05
0.26
xz
on layer medium
2.39732 2.3712 1.086% 21%
yz
on higher layer
0.000 9.1146
E02 0.091
0.1
xx
on higher layer
0.000 3.6678
E01 0.367
0.4
yy
on higher layer
0.000 3.7119
E01 0.371
0.74
xy
on higher layer
0.000 0.000 0.000 0.01
xz
on higher layer
0.000 0.000 0.000 0.01
yz
Handbook of Validation
V3.03 booklet: Linear statics of the plates and hulls
HI-75/01/010/A
Code_Aster ®
Version
6.0
Titrate:
SSLS118 - Square Plaque subjected to a sinusoidal pressure
Date:
16/11/01
Author (S):
P. MASSIN, NR. RAHNI Key
:
V3.03.118-A Page:
41/62
Reference
Not
NR
NR
NR
M
M
M
T
T
xx
yy
xy
xx
yy
xy
X
y
O M300
0.000 0.000 0.000 3.1662E02
3.1662E02
0.000 0.000 0.000
O M301
0.000
0.000
O M276
0.000
0.000
O M277
0.000
0.000
With
0.000 0.000 0.000
0.000
0.000 1.8997E02 0.000
0.000
B
0.000 0.000 0.000
0.000
0.000 1.8997E02 0.000
0.000
C
0.000 0.000 0.000
0.000
0.000 1.8997E02 0.000
0.000
D
0.000 0.000 0.000
0.000
0.000 1.8997E02 0.000
0.000
B1 M12
0.000 0.000 0.000
0.000
0.000 0.000 0.000
1.5915E01
B1 M13
0.000 0.000 0.000
0.000
0.000 0.000 0.000
1.5915E01
D1 M265
1.5915E01 0.000
D1 M289 0.000 0.000 0.000
0.000
0.000 0.000
1.5915E01
0.000
Aster
Not
NR
NR
NR
M
M
M
Q
Q
xx
yy
xy
xx
yy
xy
X
y
O M300
0.000 0.000
0.000 3.1648
E02 3.1648 E02
1.0 E17
1.0361 E02
1.0361 E02
O M301
1.0361 E02
1.0361 E02
O M276
1.0361 E02
1.0361 E02
O M277
1.0361 E02
1.0361 E02
With
0.000 0.000
0.000 1.86
E05
1.86 E05
1.8877 E02
3.87 E05
3.87 E05
B
0.000 0.000
0.000 1.86
E05
1.86 E06
1.8877 E02
3.87 E05
3.87 E05
C
0.000 0.000
0.000 1.86
E05
1.86 E05
1.8877 E02
3.87 E05
3.87 E05
D
0.000 0.000
0.000 1.86
E05
1.86 E05
1.8877 E02
3.87 E05
3.87 E05
B1 M12
0.000 0.000
0.000 1.52
E04
6.11 E04
6.19 E04
2.54 E06
1.5808 E01
B1 M13
0.000 0.000
0.000 1.52
E04
6.11 E04
6.19 E04
2.54 E06
1.5808 E01
D1 M265
1.5808 E01
2.54 E06
D1 M289
0.000 0.000
0.000 6.11
E04
1.51 E04
6.18 E04
1.5808 E01
2.56 E06
Difference
Not
NR
NR
NR
M
M
M
Q
Q
xx
yy
xy
xx
yy
xy
X
y
O M300
0.000 0.000
0.000 0.046%
0.046% 1.0
E17
0.01
0.01
O M301
0.01
0.01
O M276
0.01
0.01
O M277
0.01
0.01
With
0.000 0.000
0.000 1.86
E05 1.86
E05 0.631% 3.87 E05
3.87 E05
B
0.000 0.000
0.000 1.86
E05 1.86
E05 0.631% 3.87 E05
3.87 E05
C
0.000 0.000
0.000 1.86
E05 1.86
E05 0.631% 3.87 E05
3.87 E05
D
0.000 0.000
0.000 1.86
E05 1.86
E05 0.631% 3.87 E05
3.87 E05
B1 M12
0.000 0.000
0.000 1.52
E04
6.11 E04
6.19 E04 2.54
E06 0.672%
B1 M13
0.000 0.000
0.000 1.52
E04
6.11 E04
6.19 E04 2.54
E06 0.672%
D1 M265
0.672% 2.54
E06
D1 M289
0.000 0.000
0.000 6.11
E04
1.51 E04
6.18 E04 0.672% 2.54
E06
20.2 Parameters
of execution
Version: 6.0.37
Machine: SGI - ORIGIN 2000
Obstruction memory:
32 Mo
Time CPU To use:
9.88 seconds
Handbook of Validation
V3.03 booklet: Linear statics of the plates and hulls
HI-75/01/010/A
Code_Aster ®
Version
6.0
Titrate:
SSLS118 - Square Plaque subjected to a sinusoidal pressure
Date:
16/11/01
Author (S):
P. MASSIN, NR. RAHNI Key
:
V3.03.118-A Page:
42/62
21 Modeling
J
21.1 Characteristics of modeling
Quadrangular element of hull DSQ. The plate is modelled with a grid 48x48.
The reference mark user is confused with the reference mark of orthotropism.
Limiting conditions:
DDL_IMPO
(GROUP_NO: AB, DX: 0., DZ: 0., DRY:0.)
(GROUP_NO: BC, DY: 0., DZ: 0., DRX:0.)
(GROUP_NO: CD, DX: 0., DZ: 0., DRY:0.)
(GROUP_NO: DA, DY: 0., DZ: 0., DRX:0.)
(GROUP_NO: O, DX: 0., DY: 0., DRX:0., DRY:0., DRZ:0.)
FORCE_ARETE
(GROUP_NO: AB MY:0.)
(GROUP_NO: BC MX:0.)
(GROUP_NO: CD MY:0.)
(GROUP_NO: DA MX:0.)
Not O
Meshs: M1128, M1129, M1176, M1177
Not A
Net: M1
Not B
Net: M48
Not C
Net: M2304
Not D
Net: M2257
Not B1
Meshs: M24, M25
Not D1
Meshs: M1153, M1105
Handbook of Validation
V3.03 booklet: Linear statics of the plates and hulls
HI-75/01/010/A
Code_Aster ®
Version
6.0
Titrate:
SSLS118 - Square Plaque subjected to a sinusoidal pressure
Date:
16/11/01
Author (S):
P. MASSIN, NR. RAHNI Key
:
V3.03.118-A Page:
43/62
21.2 Characteristics
grid
A number of nodes: 2402
A number of meshs and type: 2304 QUAD4
21.3 Functionalities
tested
Commands
AFFE_MODELE
“MECANIQUE”
“DST”
AFFE_CARA_ELEM HULL
EPAIS
ANGLE_REP
DEFI_MATERIAU ELAS
FORMULE
AFFE_CHAR_MECA FORCE_COQUE
PRES
DDL_IMPO
ANGLE_NAUT
GROUP_NO
FORCE_ARETE
MECA_STATIQUE
CREA_CHAMP
CALC_CHAM_ELEM SIGM_ELNO_DEPL
DEGE_ELNO_DEPL
Handbook of Validation
V3.03 booklet: Linear statics of the plates and hulls
HI-75/01/010/A
Code_Aster ®
Version
6.0
Titrate:
SSLS118 - Square Plaque subjected to a sinusoidal pressure
Date:
16/11/01
Author (S):
P. MASSIN, NR. RAHNI Key
:
V3.03.118-A Page:
44/62
22 Results of modeling J
22.1 Values
tested
Identification
Reference
Aster Difference
Tolerance
Not O
M1176
on lower layer
18.990 18.995 0.029%
1.0%
xx
on lower layer
18.990 18.995 0.029%
1.0%
yy
on lower layer
0.000
2.7 E12
2.7 E12
0.01
xy
on lower layer
0.000 0.000 0.000
0.01
xz
on lower layer
0.000 0.000 0.000
0.01
yz
Constraints
on layer medium
0.000 0.000 0.000
0.01
xx
on layer medium
0.000 0.000 0.000
0.01
yy
on layer medium
0.000 0.000 0.000
0.01
xy
on layer medium
0.000 7.802
E02
0.078 0.26
xz
on layer medium
0.000 7.802
E02 0.078 0.26
yz
on higher layer
18.990 18.995 0.029% 1.0%
xx
on higher layer
18.990 18.995 0.029 1.0%
yy
on higher layer
0.000
2.7 E12
2.7 E12
0.01
xy
on higher layer
0.000 0.000 0.000
0.01
xz
on higher layer
0.000 0.000 0.000
0.01
yz
Displacement DZ
1.1549
1.2148 5.187%
5.2%
Not B1
M24
on lower layer
0.000 4.6366
E02
0.046 0.1
xx
on lower layer
0.000 1.8574
E01
0.186 0.4
yy
on lower layer
0.000 1.8628
E01
0.186
0.74
xy
on lower layer
0.000 0.000 0.000 0.01
xz
on lower layer
0.000 0.000 0.000 0.01
yz
on layer medium
0.000 0.000 0.000 0.01
xx
on layer medium
0.000 0.000 0.000 0.01
yy
Constraints
on layer medium
0.000 0.000 0.000 0.01
xy
on layer medium
0.000
2.47 E06
2.47 E07
0.26
xz
on layer medium
2.39732 2.3833 0.583% 21%
yz
on higher layer
0.000 4.6366
E02 0.046
0.1
xx
on higher layer
0.000 1.8574
E01 0.186
0.4
yy
on higher layer
0.000 1.8628
E01 0.186
0.74
xy
on higher layer
0.000 0.000 0.000 0.01
xz
on higher layer
0.000 0.000 0.000 0.01
yz
Handbook of Validation
V3.03 booklet: Linear statics of the plates and hulls
HI-75/01/010/A
Code_Aster ®
Version
6.0
Titrate:
SSLS118 - Square Plaque subjected to a sinusoidal pressure
Date:
16/11/01
Author (S):
P. MASSIN, NR. RAHNI Key
:
V3.03.118-A Page:
45/62
Reference
Not
NR
NR
NR
M
M
M
T
T
xx
yy
xy
xx
yy
xy
X
y
O M1176
0.000 0.000 0.000 3.1662E02
3.1662E02
0.000 0.000 0.000
O M1177
0.000
0.000
O M1128
0.000
0.000
O M1129
0.000
0.000
With
0.000 0.000 0.000
0.000
0.000 1.8997E02 0.000
0.000
B
0.000 0.000 0.000
0.000
0.000 1.8997
E02 0.000
0.000
C
0.000 0.000 0.000
0.000
0.000 1.8997E02 0.000
0.000
D
0.000 0.000 0.000
0.000
0.000 1.8997E02 0.000
0.000
B1 M24
0.000 0.000 0.000
0.000
0.000 0.000 0.000
1.5915E01
B1 M25
0.000 0.000 0.000
0.000
0.000 0.000 0.000
1.5915E01
D1 M1105
1.5915E01 0.000
D1 M1153 0.000 0.000 0.000 0.000
0.000 0.000
1.5915E01
0.000
Aster
Not
NR
NR
NR
M
M
M
Q
Q
xx
yy
xy
xx
yy
xy
X
y
O M1176
0.000 0.000 0.000
3.1659
E02 3.1659 E02
4.5 E15
5.201 E03
5.201 E03
O M1177
5.201 E03
5.201 E03
O M1128
5.201 E03
5.201 E03
O M1129
5.201 E03
5.201 E03
With
0.000 0.000 0.000 4.83
E06
4.83 E06
1.8967 E02
5.03 E06
5.03 E06
B
0.000 0.000 0.000 4.83
E06
4.83 E06
1.8967 E02
5.03 E06
5.03 E06
C
0.000 0.000 0.000 4.83
E06
4.83 E06
1.8967 E02
5.03 E06
5.03 E06
D
0.000 0.000 0.000 4.83
E06
4.83 E06
1.8967 E02
5.03 E06
5.03 E06
B1 M24
0.000 0.000 0.000 7.73
E05
3.10 E04
3.10 E04
1.65 E07
1.5889 E01
B1 M25
0.000 0.000 0.000 7.73
E05
3.10 E04
3.10 E04
1.65 E07
1.5889 E01
D1 M1105
1.5889 E01
1.6 E07
D1 M1153 0.000 0.000 0.000 3.10
E04
7.73 E05
3.10 E04
1.5889 E01
1.6 E07
Difference
Not
NR
NR
NR
M
M
M
Q
Q
xx
yy
xy
xx
yy
xy
X
y
O M1176
0.000 0.000 0.000 0.011
0.011 4.5
E15 0.005 0.005
O M1177
0.005
0.005
O M1128
0.005 0.005
O M1129
0.005
0.005
With
0.000 0.000 0.000 4.83
E06 4.83
E06 0.159% 5.03 E06
5.03 E06
B
0.000 0.000 0.000 4.83
E06 4.83
E06 0.159% 5.03 E06
5.03 E06
C
0.000 0.000 0.000 4.83
E06 4.83
E06 0.159% 5.03 E06
5.03 E06
D
0.000 0.000 0.000 4.83
E06 4.83
E06 0.159% 5.03 E06
5.03 E06
B1 M24
0.000 0.000 0.000 7.73
E05
3.10 E04
3.10 E04 1.65
E07 0.166%
B1 M25
0.000 0.000 0.000 7.73
E05
3.10 E04
3.10 E04 1.65
E07 0.166%
D1 M1105
0.166% 1.6
E07
D1 M1153
0.000 0.000 0.000 3.10
E04
7.73 E05
3.10 E04 0.166% 1.6
E07
Handbook of Validation
V3.03 booklet: Linear statics of the plates and hulls
HI-75/01/010/A
Code_Aster ®
Version
6.0
Titrate:
SSLS118 - Square Plaque subjected to a sinusoidal pressure
Date:
16/11/01
Author (S):
P. MASSIN, NR. RAHNI Key
:
V3.03.118-A Page:
46/62
22.2 Parameters
of execution
Version: 6.0.37
Machine: SGI - ORIGIN 2000
Obstruction memory:
32 Mo
Time CPU To use:
21.89 seconds
23 Modeling
K
23.1 Characteristics of modeling
Isotropic multi-layer plate (5 layers in the thickness). Triangular element of hull DST.
The reference mark user is confused with the reference mark of orthotropism.
Limiting conditions:
DDL_IMPO
(GROUP_NO: AB, DX: 0., DZ: 0., DRY:0.)
(GROUP_NO: BC, DY: 0., DZ: 0., DRX:0.)
(GROUP_NO: CD, DX: 0., DZ: 0., DRY:0.)
(GROUP_NO: DA, DY: 0., DZ: 0., DRX:0.)
(GROUP_NO: O, DX: 0., DY: 0., DRX:0., DRY:0., DRZ:0.)
FORCE_ARETE
(GROUP_NO: AB MY:0.)
(GROUP_NO: BC MX:0.)
(GROUP_NO: CD MY:0.)
(GROUP_NO: DA MX:0.)
Handbook of Validation
V3.03 booklet: Linear statics of the plates and hulls
HI-75/01/010/A
Code_Aster ®
Version
6.0
Titrate:
SSLS118 - Square Plaque subjected to a sinusoidal pressure
Date:
16/11/01
Author (S):
P. MASSIN, NR. RAHNI Key
:
V3.03.118-A Page:
47/62
Not O
Meshs: M132, M156, M134, M158
Not A
Net: M1
Not B
Net: M266
Not C
Net: M288
Not D
Net: M23
Not B1
Meshs: M122, M146
Not D1
Meshs: M14, M11
23.2 Characteristics
grid
A number of nodes: 170
A number of meshs and type: 288 TRIA3
23.3 Functionalities
tested
Commands
AFFE_MODELE
“MECANIQUE”
“DST”
MODI_MAILLAGE ORIE_NORME_COQUE
AFFE_CARA_ELEM HULL
EPAIS
ANGLE_REP
DEFI_MATERIAU ELAS_ORTH
E_L
E_T
E_N
G_TN
G_LT
G_LN
NU_LT
DEFI_COQU_MULT SLEEP
FORMULE
AFFE_CHAR_MECA FORCE_COQUE
PRES
DDL_IMPO
ANGLE_NAUT
GROUP_NO
FORCE_ARETE
MECA_STATIQUE
CREA_CHAMP
CALC_CHAM_ELEM SIGM_ELNO_DEPL
DEGE_ELNO_DEPL
Handbook of Validation
V3.03 booklet: Linear statics of the plates and hulls
HI-75/01/010/A
Code_Aster ®
Version
6.0
Titrate:
SSLS118 - Square Plaque subjected to a sinusoidal pressure
Date:
16/11/01
Author (S):
P. MASSIN, NR. RAHNI Key
:
V3.03.118-A Page:
48/62
24 Results of modeling K
24.1 Values
tested
Identification
Reference
Aster Difference
Tolerance
Not O
M134
Lay down 1
on lower layer
18.990 18.872
0.62% 1.0%
xx
on lower layer
18.990 18.896
0.49% 1.0%
yy
on lower layer
0.000
2.61 E04
2.61 E04
0.01
xy
on lower layer
0.000 0.000 0.000
0.01
xz
on lower layer
0.000 0.000 0.000
0.01
yz
3 sleep
on layer medium
0.000 0.000 0.000
0.01
xx
on layer medium
0.000 0.000 0.000
0.01
yy
on layer medium
0.000 0.000 0.000
0.01
xy
on layer medium
0.000 2.8134
E01
0.281
0.4
xz
on layer medium
0.000 3.0148
E01 0.301 0.4
yz
5 sleep
on higher layer
18.990 18.872 0.62% 1%
xx
on higher layer
18.990 18.896 0.49% 1%
yy
on higher layer
0.000
2.61 E04
2.61 E04
0.01
xy
on higher layer
0.000 0.000 0.000
0.01
xz
on higher layer
0.000 0.000 0.000
0.01
yz
Displacement DZ
1.1549
1.1951 3.487%
4.1%
Not B1
M122
Lay down 1
on lower layer
0.000 5.2518
E01
0.525 0.8
xx
on lower layer
0.000 6.8948
E01
0.689 0.8
yy
on lower layer
0.000 7.305
E01
0.731
0.8
xy
on lower layer
0.000 0.000 0.000 0.01
xz
on lower layer
0.000 0.000 0.000 0.01
yz
3 sleep
on layer medium
0.000 0.000 0.000 0.01
xx
on layer medium
0.000 0.000 0.000 0.01
yy
on layer medium
0.000 0.000 0.000 0.01
xy
on layer medium
0.000 4.900
E02
0.049
0.05
xz
on layer medium
2.39732 2.3421 2.3%
3%
yz
5 sleep
on higher layer
0.000 5.2518
E01 0.525
0.8
xx
on higher layer
0.000 6.8948
E01 0.689
0.8
yy
on higher layer
0.000 7.3051
E01 0.731
0.8
xy
on higher layer
0.000 0.000 0.000 0.01
xz
Handbook of Validation
V3.03 booklet: Linear statics of the plates and hulls
HI-75/01/010/A
Code_Aster ®
Version
6.0
Titrate:
SSLS118 - Square Plaque subjected to a sinusoidal pressure
Date:
16/11/01
Author (S):
P. MASSIN, NR. RAHNI Key
:
V3.03.118-A Page:
49/62
on higher layer
0.000 0.000 0.000 0.01
yz
Evolution of the constraints in the plate
Not O
xx
yy
xy
xz
yz
Lower Couche1
18.8724 18.8969
2.61426
E04
0
0
Higher Couche1
11.3234 11.3381
1.56856
E04 1.80063 E01
1.92951 E01
Lower Couche2
11.3234 11.3381
1.56856
E04 1.80063 E01
1.92951 E01
Higher Couche2
3.77447 3.77937
5.22853
E05 2.70094 E01
2.89426 E01
Lower Couche3
3.77447 3.77937
5.22853
E05 2.70094 E01
2.89426 E01
Average Couche3
6.54766 E16
6.55617 E16 9.07005 E21 2.81348 E01
3.01485 E01
Higher Couche3
3.77447 3.77937
5.22853
E05
2.70094 E01
2.89426 E01
Lower Couche4
3.77447 3.77937
5.22853
E05
2.70094 E01
2.89426 E01
Higher Couche4
11.3234 11.3381
1.56856
E04
1.80063 E01
1.92951 E01
Lower Couche5
11.3234 11.3381
1.56856
E04
1.80063 E01
1.92951 E01
Higher Couche5
18.8724 18.8969
2.61426
E04
3.33183 E17
3.57030 E17
Not B1
xx
yy
xy
xz
yz
Lower Couche1
5.25182 E01 6.89486 E01
7.30513 E01
0
0
Higher Couche1 3.15109 E01 4.13691 E01 4.38308 E01 3.13609 E02
1.49899
Lower Couche2
3.15109 E01 4.13691 E01
4.38308 E01 3.13609 E02
1.49899
Higher Couche2 1.05036 E01 1.37897 E01 1.46103 E01 4.70414 E02
2.24848
Lower Couche3
1.05036 E01 1.37897 E01
1.46103 E01 4.70414 E02
2.24848
Average Couche3
1.82209 E17 2.39231 E17
2.53448 E17 4.90014 E02
2.34217
Higher Couche3
1.05036 E01
1.37897 E01
1.46103 E01 4.70414 E02
2.24848
Lower Couche4
1.05036 E01
1.37897 E01
1.46103 E01 4.70414 E02
2.24848
Higher Couche4
3.15109 E01
4.13691 E01
4.38308 E01 3.13609 E02
1.49899
Lower Couche5
3.15109 E01
4.13691 E01
4.38308 E01 3.13609 E02
1.49899
Higher Couche5
5.25182 E01
6.89486 E01
7.30513 E01
5.80293 E18
2.77369 E16
24.2 Parameters
of execution
Version: 6.0.37
Machine: SGI - ORIGIN 2000
Obstruction memory:
32 Mo
Time CPU To use:
seconds
Handbook of Validation
V3.03 booklet: Linear statics of the plates and hulls
HI-75/01/010/A
Code_Aster ®
Version
6.0
Titrate:
SSLS118 - Square Plaque subjected to a sinusoidal pressure
Date:
16/11/01
Author (S):
P. MASSIN, NR. RAHNI Key
:
V3.03.118-A Page:
50/62
25 Modeling
L
25.1 Characteristics of modeling
Isotropic multi-layer plate (5 layers in the thickness). Triangular element of hull DST.
The model of plate associated with modeling K is turned of 20 degrees according to the nautical angle
alpha and of 30 degrees according to beta. The classification of the meshs is identical to that of
modeling K.
Limiting conditions:
DDL_IMPO
(GROUP_NO: AB, DX: 0., DZ: 0., DRY:0.)
(GROUP_NO: BC, DY: 0., DZ: 0., DRX:0.)
(GROUP_NO: CD, DX: 0., DZ: 0., DRY:0.)
(GROUP_NO: DA, DY: 0., DZ: 0., DRX:0.)
(GROUP_NO: O, DX: 0., DY: 0., DRX:0., DRY:0., DRZ:0.)
FORCE_ARETE
(GROUP_NO: AB MY:0.)
(GROUP_NO: BC MX:0.)
(GROUP_NO: CD MY:0.)
(GROUP_NO: DA MX:0.)
Handbook of Validation
V3.03 booklet: Linear statics of the plates and hulls
HI-75/01/010/A
Code_Aster ®
Version
6.0
Titrate:
SSLS118 - Square Plaque subjected to a sinusoidal pressure
Date:
16/11/01
Author (S):
P. MASSIN, NR. RAHNI Key
:
V3.03.118-A Page:
51/62
Not O
Meshs: M132, M156, M134, M158
Not A
Net: M1
Not B
Net: M266
Not C
Net: M288
Not D
Net: M23
Not B1
Meshs: M122, M146
Not D1
Meshs: M14, M11
25.2 Characteristics
grid
A number of nodes: 170
A number of meshs and type: 288 TRIA3
25.3 Functionalities
tested
Commands
AFFE_MODELE
“MECANIQUE”
“DST”
MODI_MAILLAGE ORIE_NORME_COQUE
AFFE_CARA_ELEM HULL
EPAIS
ANGLE_REP
DEFI_MATERIAU ELAS_ORTH
E_L
E_T
E_N
G_TN
G_LT
G_LN
NU_LT
DEFI_COQU_MULT SLEEP
FORMULE
AFFE_CHAR_MECA FORCE_COQUE
PRES
LIAISON_OBLIQUE
ANGLE_NAUT
GROUP_NO
FORCE_ARETE
MECA_STATIQUE
CREA_CHAMP
CALC_CHAM_ELEM SIGM_ELNO_DEPL
DEGE_ELNO_DEPL
Handbook of Validation
V3.03 booklet: Linear statics of the plates and hulls
HI-75/01/010/A
Code_Aster ®
Version
6.0
Titrate:
SSLS118 - Square Plaque subjected to a sinusoidal pressure
Date:
16/11/01
Author (S):
P. MASSIN, NR. RAHNI Key
:
V3.03.118-A Page:
52/62
26 Results of modeling L
26.1 Values
tested
Identification
Reference
Aster Difference
Tolerance
Not O
M134
Lay down 1
on lower layer
18.990 18.872
0.62% 1.0%
xx
on lower layer
18.990 18.896
0.49% 1.0%
yy
on lower layer
0.000
2.61 E04
2.61 E04
0.01
xy
on lower layer
0.000 0.000 0.000
0.01
xz
on lower layer
0.000 0.000 0.000
0.01
yz
3 sleep
on layer medium
0.000 0.000 0.000
0.01
xx
on layer medium
0.000 0.000 0.000
0.01
yy
on layer medium
0.000 0.000 0.000
0.01
xy
on layer medium
0.000 2.8134
E01
0.281
0.4
xz
on layer medium
0.000 3.0148
E01 0.301 0.4
yz
5 sleep
on higher layer
18.990 18.872 0.62% 1%
xx
on higher layer
18.990 18.896 0.49% 1%
yy
on higher layer
0.000
2.61 E04
2.61 E04
0.01
xy
on higher layer
0.000 0.000 0.000
0.01
xz
on higher layer
0.000 0.000 0.000
0.01
yz
Displacement DZ
1.1549
1.1951 3.487%
4.1%
Not B1
M122
Lay down 1
on lower layer
0.000 5.2518
E01
0.525 0.8
xx
on lower layer
0.000 6.8948
E01
0.689 0.8
yy
on lower layer
0.000 7.305
E01
0.731
0.8
xy
on lower layer
0.000 0.000 0.000 0.01
xz
on lower layer
0.000 0.000 0.000 0.01
yz
3 sleep
on layer medium
0.000 0.000 0.000 0.01
xx
on layer medium
0.000 0.000 0.000 0.01
yy
on layer medium
0.000 0.000 0.000 0.01
xy
on layer medium
0.000 4.900
E02
0.049
0.05
xz
on layer medium
2.39732 2.3421 2.3%
3%
yz
5 sleep
on higher layer
0.000 5.2518
E01 0.525
0.8
xx
on higher layer
0.000 6.8948
E01 0.689
0.8
yy
on higher layer
0.000 7.3051
E01 0.731
0.8
xy
on higher layer
0.000 0.000 0.000 0.01
xz
Handbook of Validation
V3.03 booklet: Linear statics of the plates and hulls
HI-75/01/010/A
Code_Aster ®
Version
6.0
Titrate:
SSLS118 - Square Plaque subjected to a sinusoidal pressure
Date:
16/11/01
Author (S):
P. MASSIN, NR. RAHNI Key
:
V3.03.118-A Page:
53/62
on higher layer
0.000 0.000 0.000 0.01
yz
Evolution of the constraints in the plate
Not O
xx
yy
xy
xz
yz
Lower Couche1
18.8724 18.8969
2.61426
E04
0
0
Higher Couche1
11.3234 11.3381
1.56856
E04 1.80063 E01
1.92951 E01
Lower Couche2
11.3234 11.3381
1.56856
E04 1.80063 E01
1.92951 E01
Higher Couche2
3.77447 3.77937
5.22853
E05 2.70094 E01
2.89426 E01
Lower Couche3
3.77447 3.77937
5.22853
E05 2.70094 E01
2.89426 E01
Average Couche3
2.70652 E14 2.69295 E14
1.22884 E13 2.81348 E01
3.01485 E01
Higher Couche3
3.77447 3.77937
5.22853
E05
2.70094 E01
2.89426 E01
Lower Couche4
3.77447 3.77937
5.22853
E05
2.70094 E01
2.89426 E01
Higher Couche4
11.3234 11.3381
1.56856
E04
1.80063 E01
1.92951 E01
Lower Couche5
11.3234 11.3381
1.56856
E04
1.80063 E01
1.92951 E01
Higher Couche5
18.8724 18.8969
2.61426
E04
3.33183 E17
3.57030 E17
Not B1
xx
yy
xy
xz
yz
Lower Couche1
5.25182 E01 6.89486 E01
7.30513 E01
0
0
Higher Couche1 3.15109 E01 4.13691 E01 4.38308 E01 3.13609 E02
1.49899
Lower Couche2
3.15109 E01 4.13691 E01
4.38308 E01 3.13609 E02
1.49899
Higher Couche2 1.05036 E01 1.37897 E01 1.46103 E01 4.70414 E02
2.24848
Lower Couche3
1.05036 E01 1.37897 E01
1.46103 E01 4.70414 E02
2.24848
Average Couche3
8.54411 E16 5.45131 E16
2.48746 E14 4.90014 E02
2.34217
Higher Couche3
1.05036 E01
1.37897 E01
1.46103 E01 4.70414 E02
2.24848
Lower Couche4
1.05036 E01
1.37897 E01
1.46103 E01 4.70414 E02
2.24848
Higher Couche4
3.15109 E01
4.13691 E01
4.38308 E01 3.13609 E02
1.49899
Lower Couche5
3.15109 E01
4.13691 E01
4.38308 E01 3.13609 E02
1.49899
Higher Couche5
5.25182 E01
6.89486 E01
7.30513 E01
5.80293 E18
2.77369 E16
26.2 Parameters
of execution
Version: 6.0.37
Machine: SGI - ORIGIN 2000
Obstruction memory:
32 Mo
Time CPU To use:
26.17 seconds
Handbook of Validation
V3.03 booklet: Linear statics of the plates and hulls
HI-75/01/010/A
Code_Aster ®
Version
6.0
Titrate:
SSLS118 - Square Plaque subjected to a sinusoidal pressure
Date:
16/11/01
Author (S):
P. MASSIN, NR. RAHNI Key
:
V3.03.118-A Page:
54/62
27 Modeling
M
27.1 Characteristics of modeling
Isotropic multi-layer plate (5 layers in the thickness). Quadrangular element of hull DSQ.
The reference mark user is confused with the reference mark of orthotropism.
Limiting conditions:
DDL_IMPO
(GROUP_NO: AB, DX: 0., DZ: 0., DRY:0.)
(GROUP_NO: BC, DY: 0., DZ: 0., DRX:0.)
(GROUP_NO: CD, DX: 0., DZ: 0., DRY:0.)
(GROUP_NO: DA, DY: 0., DZ: 0., DRX:0.)
(GROUP_NO: O, DX: 0., DY: 0., DRX:0., DRY:0., DRZ:0.)
FORCE_ARETE
(GROUP_NO: AB MY:0.)
(GROUP_NO: BC MX:0.)
(GROUP_NO: CD MY:0.)
(GROUP_NO: DA MX:0.)
Not O
Meshs: M66, M67, M78, M79
Not A
Net: M1
Not B
Net: M12
Not C
Net: M144
Not D
Net: M133
Not B1
Meshs: M6, M7
Not D1
Meshs: M73, M61
Handbook of Validation
V3.03 booklet: Linear statics of the plates and hulls
HI-75/01/010/A
Code_Aster ®
Version
6.0
Titrate:
SSLS118 - Square Plaque subjected to a sinusoidal pressure
Date:
16/11/01
Author (S):
P. MASSIN, NR. RAHNI Key
:
V3.03.118-A Page:
55/62
27.2 Characteristics
grid
A number of nodes: 171
A number of meshs and type: 144 QUAD4
27.3 Functionalities
tested
Commands
AFFE_MODELE
“MECANIQUE”
“DST”
MODI_MAILLAGE ORIE_NORME_COQUE
AFFE_CARA_ELEM HULL
EPAIS
ANGLE_REP
DEFI_MATERIAU ELAS_ORTH
E_L
E_T
E_N
G_TN
G_LT
G_LN
NU_LT
DEFI_COQU_MULT SLEEP
DEFI_COQU_MULT SLEEP
EPAIS
ORIENTATION
AFFE_CHAR_MECA FORCE_COQUE
PRES
TOUT
LIAISON_OBLIQUE
ANGLE_NAUT
GROUP_NO
MECA_STATIQUE
CALC_CHAM_ELEM SIGM_ELNO_DEPL
Handbook of Validation
V3.03 booklet: Linear statics of the plates and hulls
HI-75/01/010/A
Code_Aster ®
Version
6.0
Titrate:
SSLS118 - Square Plaque subjected to a sinusoidal pressure
Date:
16/11/01
Author (S):
P. MASSIN, NR. RAHNI Key
:
V3.03.118-A Page:
56/62
28 Results of modeling M
28.1 Values
tested
Identification
Reference
Aster Difference
Tolerance
Not O
M134
Lay down 1
on lower layer
18.990 18.959
0.158%
1.0%
xx
on lower layer
18.990 18.959
0.158%
1.0%
yy
on lower layer
0.000 4.73E08 4.73E08
0.01
xy
on lower layer
0.000 0.000 0.000
0.01
xz
on lower layer
0.000 0.000 0.000
0.01
yz
3 sleep
on layer medium
0.000 0.000 0.000
0.01
xx
on layer medium
0.000 0.000 0.000
0.01
yy
on layer medium
0.000 0.000 0.000
0.01
xy
on layer medium
0.000 0.306
0.306 0.31
xz
on layer medium
0.000 0.306 0.306
0.31
yz
5 sleep
on higher layer
18.990 18.959 0.158% 1.0%
xx
on higher layer
18.990 18.959 0.158% 1.0%
yy
on higher layer
0.000 4.73E08
4.73E08
0.01
xy
on higher layer
0.000 0.000 0.000
0.01
xz
on higher layer
0.000 0.000 0.000
0.01
yz
Displacement DZ
1.1549
1.2012 4.017%
4.1%
Not B1
M122
Lay down 1
on lower layer
0.000 1.695E01 0.17 0.7
xx
on lower layer
0.000 6.933E01
0.693 0.7
yy
on lower layer
0.000 7.316E01
0.732 0.74
xy
on lower layer
0.000 0.000 0.000 0.01
xz
on lower layer
0.000 0.000 0.000 0.01
yz
3 sleep
on layer medium
0.000 0.000 0.000 0.01
xx
on layer medium
0.000 0.000 0.000 0.01
yy
on layer medium
0.000 0.000 0.000 0.01
xy
on layer medium
0.000 5.256E04
5.26E04 0.26
xz
on layer medium
2.39732 2.32183 3.149% 3.2%
yz
5 sleep
on higher layer
0.000 1.695E01 0.17
0.7
xx
on higher layer
0.000 6.933E01 0.693
0.7
yy
on higher layer
0.000 7.316E01 0.732 0.74
xy
on higher layer
0.000 0.000 0.000 0.01
xz
Handbook of Validation
V3.03 booklet: Linear statics of the plates and hulls
HI-75/01/010/A
Code_Aster ®
Version
6.0
Titrate:
SSLS118 - Square Plaque subjected to a sinusoidal pressure
Date:
16/11/01
Author (S):
P. MASSIN, NR. RAHNI Key
:
V3.03.118-A Page:
57/62
on higher layer
0.000 0.000 0.000 0.01
yz
Evolution of the constraints in the plate
Not O
xx
yy
xy
xz
yz
Lower Couche1
18.9599 18.9599
4.72681
E08 0
0
Higher Couche1
11.3760 11.3760
2.83603
E08
1.95632 E01
1.95632 E01
Lower Couche2
11.3760 11.3760
2.83603
E08
1.95632 E01
1.95632 E01
Higher Couche2
3.79199 3.79199
9.45342
E09
2.93448 E01
2.93448 E01
Lower Couche3
3.79199 3.79199
9.45342
E09
2.93448 E01
2.93448 E01
Average Couche3
6.57805 E16
6.57805 E16
1.63991 E24 3.05675 E01
3.05675 E01
Higher Couche3
3.79199 3.79199
9.45342
E09 2.93448 E01
2.93448 E01
Lower Couche4
3.79199 3.79199
9.45342
E09 2.93448 E01
2.93448 E01
Higher Couche4
11.3760 11.3760
2.83603
E08 1.95632 E01
1.95632 E01
Lower Couche5
11.3760 11.3760
2.83603
E08 1.95632 E01
1.95632 E01
Higher Couche5
18.9599 18.9599
4.72681
E08
3.61992 E17
3.61992 E17
Not B1
xx
yy
xy
xz
yz
Lower Couche1
1.69553 E01 6.93351 E01
7.31643 E01
0
0
Higher Couche1 1.01732 E01 4.16010 E01 4.38986 E01 3.36438 E04
1.48597
Lower Couche2
1.01732 E01 4.16010 E01
4.38986 E01
3.36438 E04
1.48597
Higher Couche2 3.39106 E02 1.38670 E01 1.46329 E01 5.04657 E04
2.22896
Lower Couche3
3.39106 E02 1.38670 E01
1.46329 E01
5.04657 E04
2.22896
Average Couche3
5.88254 E18 2.40554 E17
2.53840 E17
5.25684 E04
2.32184
Higher Couche3
3.39106 E02
1.38670 E01
1.46329 E01
5.04657 E04
2.22896
Lower Couche4
3.39106 E02
1.38670 E01
1.46329 E01
5.04657 E04
2.22896
Higher Couche4
1.01732 E01
4.16010 E01
4.38986 E01
3.36438 E04
1.48597
Lower Couche5
1.01732 E01
4.16010 E01
4.38986 E01
3.36438 E04
1.48597
Higher Couche5
1.69553 E01
6.93351 E01
7.31643 E01 6.22535 E20
2.74961 E16
28.2 Parameters
of execution
Version: 6.0.37
Machine: SGI - ORIGIN 2000
Obstruction memory:
32 Mo
Time CPU To use:
14.91 seconds
Handbook of Validation
V3.03 booklet: Linear statics of the plates and hulls
HI-75/01/010/A
Code_Aster ®
Version
6.0
Titrate:
SSLS118 - Square Plaque subjected to a sinusoidal pressure
Date:
16/11/01
Author (S):
P. MASSIN, NR. RAHNI Key
:
V3.03.118-A Page:
58/62
29 Modeling
NR
29.1 Characteristics of modeling
Isotropic multi-layer plate (5 layers in the thickness). Quadrangular element of hull DSQ.
The model of plate associated with modeling M is turned of 20 degrees according to the nautical angle
alpha and of 30 degrees according to beta. The classification of the meshs is identical to that of
modeling Mr.
Limiting conditions:
DDL_IMPO
(GROUP_NO: AB, DX: 0., DZ: 0., DRY:0.)
(GROUP_NO: BC, DY: 0., DZ: 0., DRX:0.)
(GROUP_NO: CD, DX: 0., DZ: 0., DRY:0.)
(GROUP_NO: DA, DY: 0., DZ: 0., DRX:0.)
(GROUP_NO: O, DX: 0., DY: 0., DRX:0., DRY:0., DRZ:0.)
FORCE_ARETE
(GROUP_NO: AB MY:0.)
(GROUP_NO: BC MX:0.)
(GROUP_NO: CD MY:0.)
(GROUP_NO: DA MX:0.)
Handbook of Validation
V3.03 booklet: Linear statics of the plates and hulls
HI-75/01/010/A
Code_Aster ®
Version
6.0
Titrate:
SSLS118 - Square Plaque subjected to a sinusoidal pressure
Date:
16/11/01
Author (S):
P. MASSIN, NR. RAHNI Key
:
V3.03.118-A Page:
59/62
Not O
Meshs: M66, M67, M78, M79
Not A
Net: M1
Not B
Net: M12
Not C
Net: M144
Not D
Net: M133
Not B1
Meshs: M6, M7
Not D1
Meshs: M73, M61
29.2 Characteristics
grid
A number of nodes: 171
A number of meshs and type: 144 QUAD4
29.3 Functionalities
tested
Commands
AFFE_MODELE
“MECANIQUE”
“DST”
MODI_MAILLAGE ORIE_NORME_COQUE
AFFE_CARA_ELEM HULL
EPAIS
ANGLE_REP
DEFI_MATERIAU ELAS_ORTH
E_L
E_T
E_N
G_TN
G_LT
G_LN
NU_LT
DEFI_COQU_MULT SLEEP
FORMULE
AFFE_CHAR_MECA FORCE_COQUE
PRES
LIAISON_OBLIQUE
ANGLE_NAUT
GROUP_NO
FORCE_ARETE
MECA_STATIQUE
CREA_CHAMP
CALC_CHAM_ELEM SIGM_ELNO_DEPL
DEGE_ELNO_DEPL
Handbook of Validation
V3.03 booklet: Linear statics of the plates and hulls
HI-75/01/010/A
Code_Aster ®
Version
6.0
Titrate:
SSLS118 - Square Plaque subjected to a sinusoidal pressure
Date:
16/11/01
Author (S):
P. MASSIN, NR. RAHNI Key
:
V3.03.118-A Page:
60/62
30 Results of modeling NR
30.1 Values
tested
Identification
Reference
Aster Difference
Tolerance
Not O
M134
Lay down 1
on lower layer
18.990 18.959
0.158%
1.0%
xx
on lower layer
18.990 18.959
0.158%
1.0%
yy
on lower layer
0.000 0.000 0.000
0.01
xy
on lower layer
0.000 0.000 0.000
0.01
xz
on lower layer
0.000 0.000 0.000
0.01
yz
3 sleep
on layer medium
0.000 0.000 0.000
0.01
xx
on layer medium
0.000 0.000 0.000
0.01
yy
on layer medium
0.000 0.000 0.000
0.01
xy
on layer medium
0.000 0.306
0.306 0.31
xz
on layer medium
0.000 0.306 0.306
0.31
yz
5 sleep
on higher layer
18.990 18.959 0.158% 1.0%
xx
on higher layer
18.990 18.959 0.158% 1.0%
yy
on higher layer
0.000 0.000 0.000
0.01
xy
on higher layer
0.000 0.000 0.000
0.01
xz
on higher layer
0.000 0.000 0.000
0.01
yz
Displacement DZ
1.1549
1.2012 4.017%
4.1%
Not B1
M122
Lay down 1
on lower layer
0.000 1.695E01 0.17 0.7
xx
on lower layer
0.000 6.933E01
0.693 0.7
yy
on lower layer
0.000 7.316E01
0.732 0.74
xy
on lower layer
0.000 0.000 0.000 0.01
xz
on lower layer
0.000 0.000 0.000 0.01
yz
3 sleep
on layer medium
0.000 0.000 0.000 0.01
xx
on layer medium
0.000 0.000 0.000 0.01
yy
on layer medium
0.000 0.000 0.000 0.01
xy
on layer medium
0.000 5.256E04
5.26E04 0.26
xz
on layer medium
2.39732 2.32183 3.149% 3.2%
yz
5 sleep
on higher layer
0.000 1.695E01 0.17
0.3
xx
on higher layer
0.000 6.933E01 0.693
0.8
yy
on higher layer
0.000 7.316E01 0.732
0.8
xy
on higher layer
0.000 0.000 0.000 0.01
xz
Handbook of Validation
V3.03 booklet: Linear statics of the plates and hulls
HI-75/01/010/A
Code_Aster ®
Version
6.0
Titrate:
SSLS118 - Square Plaque subjected to a sinusoidal pressure
Date:
16/11/01
Author (S):
P. MASSIN, NR. RAHNI Key
:
V3.03.118-A Page:
61/62
on higher layer
0.000 0.000 0.000 0.01
yz
Evolution of the constraints in the plate
Not O
xx
yy
xy
xz
yz
Lower Couche1
18.9599 18.9599
2.21998
E13
0
0
Higher Couche1
11.3760 11.3760
1.64964
E13 1.95632 E01
1.95632 E01
Lower Couche2
11.3760 11.3760
1.64964
E13 1.95632 E01
1.95632 E01
Higher Couche2
3.79199 3.79199
1.07931
E13 2.93448 E01
2.93448 E01
Lower Couche3
3.79199 3.79199
1.07931
E13 2.93448 E01
2.93448 E01
Average Couche3
1.26875 E13
1.05848 E13 7.94143 E14 3.05675 E01
3.05675 E01
Higher Couche3
3.79199 3.79199
5.08976
E14 2.93448 E01
2.93448 E01
Lower Couche4
3.79199 3.79199
5.08976
E14 2.93448 E01
2.93448 E01
Higher Couche4
11.3760 11.3760
6.13577
E15
1.95632 E01
1.95632 E01
Lower Couche5
11.3760 11.3760
6.13577
E15
1.95632 E01
1.95632 E01
Higher Couche5
18.9599 18.9599
6.31692
E14
3.61992 E17
3.61992 E17
Not B1
xx
yy
xy
xz
yz
Lower Couche1
1.69553 E01 6.93351 E01
7.31643 E01
0
0
Higher Couche1 1.01732 E01 4.16010 E01 4.38986 E01 3.36437 E04
1.48597
Lower Couche2
1.01732 E01 4.16010 E01
4.38986 E01
3.36437 E04
1.48597
Higher Couche2 3.39106 E02 1.38670 E01 1.46329 E01 5.04656 E04
2.22896
Lower Couche3
3.39106 E02 1.38670 E01
1.46329 E01
5.04656 E04
2.22896
Average Couche3
4.87415 E15 4.93108 E14
3.39767 E15
5.25683 E04
2.32184
Higher Couche3
3.39106 E02
1.38670 E01
1.46329 E01
5.04656 E04
2.22896
Lower Couche4
3.39106 E02
1.38670 E01
1.46329 E01
5.04656 E04
2.22896
Higher Couche4
1.01732 E01
4.16010 E01
4.38986 E01
3.36437 E04
1.48597
Lower Couche5
1.01732 E01
4.16010 E01
4.38986 E01
3.36437 E04
1.48597
Higher Couche5
1.69553 E01
6.93351 E01
7.31643 E01 6.22534 E20
2.74961 E16
30.2 Parameters
of execution
Version: 6.0.37
Machine: SGI - ORIGIN 2000
Obstruction memory:
32 Mo
Time CPU To use:
15.32 seconds
Handbook of Validation
V3.03 booklet: Linear statics of the plates and hulls
HI-75/01/010/A
Code_Aster ®
Version
6.0
Titrate:
SSLS118 - Square Plaque subjected to a sinusoidal pressure
Date:
16/11/01
Author (S):
P. MASSIN, NR. RAHNI Key
:
V3.03.118-A Page:
62/62
31 Summary of the results
The results obtained show that:
· modeling DSQ provides a more precise estimate of the constraints and efforts
edges (<5%) that modeling DKQ (=20%). The estimate of the moments is
equivalent for two modelings,
· the estimate of the constraints is more precise with modeling DKT (<2%)
compared to modeling DST (<3,5%). The shearing action is on the other hand better
estimated by DST (<10% for DST and <20% for DKT),
· for the configurations COQUE_3D triangle or quadrangle, the estimate of the constraint of
transverse shearing is constant in the thickness of the plate, in accordance with
assumptions of modeling,
results expressed in the reference mark user for the DST configurations and
COQUE_3D is identical to those expressed in the total reference mark,
the refinement of the grid for configuration DSQ improves the estimate of
constraints, of the sharp efforts and the moments; the tendency is reversed in what
relate to displacement,
the multi-layer configuration makes it possible to visualize the distribution of the plane constraints and
of transverse shearing in the thickness of the plate, and to confirm the theory, with
to know a linear for the plane constraints and parabolic distribution for
shear stresses; in addition, the rotation of the reference mark does not influence the values
constraints,
in a general way, with the nodes where one awaits constraints or efforts
analytically null, the numerical results obtained are not correct owing to the fact that
the estimates are made mesh by mesh then extrapolated with the nodes. Even them
values realized with the nodes in question are not inevitably null.
Handbook of Validation
V3.03 booklet: Linear statics of the plates and hulls
HI-75/01/010/A
Outline document