Code_Aster
®
Version
4.0
Titrate:
ADLV100 Piston coupled to a column of fluid
Date:
14/10/98
Author (S):
F. STIFKENS, G. ROUSSEAU
Key:
V8.21.100-B
Page:
1/32
Manual of Validation
V8.21 booklet: Modal accoustics
HX-XX/98/XXX - Ind X
Organization (S):
EDF/EP/AMV
Manual of Validation
V8.21 booklet: Modal accoustics
Document: V8.21.100
ADLV100 - Piston coupled to a column of fluid
Summary:
Calculation in fluid coupling accoustics-structure of the first mode of a system fluide1 - piston fluid 2.
One tests the matrices of rigidity and mass of the elements of the fluid type and type coupling fluid-structure.
One tests also the boundary condition of the free face type.
Fourteen modelings are tested.
Code_Aster
®
Version
4.0
Titrate:
ADLV100 Piston coupled to a column of fluid
Date:
14/10/98
Author (S):
F. STIFKENS, G. ROUSSEAU
Key:
V8.21.100-B
Page:
2/32
Manual of Validation
V8.21 booklet: Modal accoustics
HX-XX/98/XXX - Ind X
1
Problem of reference
1.1 Geometry
X
y
has
M2
M1
M3
M
P
M4
P1
P2
With
Fluid 1: air
Solid
Fluid 2: water
P
4
Q
1
L
has
Q
2
L
S
L
E
Q
4
Q
3
P3
Z
L
has
= 0.075,
L
S
= 0.025,
L
E
= 0.05 m
constant square section, has = 0.05 m
or circular section (in the axisymmetric case) constant of radius R = has = 0.05 Mr.
1.2
Properties of materials
solid: E = 2 10
11
AP
S
= 7800 kg/m
3
= 0.3
air:
C
has
= 340 m/s
has
= 1.2 kg/m
3
water:
C
E
= 1400 m/s
E
= 1000 kg/m
3
C = speed of sound
C = speed of sound in the fluid
1.3
Boundary conditions and loading
·
For all the points M of the face (M1 m2 m3 M4) pressure and potential of displacement
are null (condition of the free face type),
·
for the points P of the solid, one locks all the ddl except the translation in X so that this solid
comprise like a piston according to axis X.
Code_Aster
®
Version
4.0
Titrate:
ADLV100 Piston coupled to a column of fluid
Date:
14/10/98
Author (S):
F. STIFKENS, G. ROUSSEAU
Key:
V8.21.100-B
Page:
3/32
Manual of Validation
V8.21 booklet: Modal accoustics
HX-XX/98/XXX - Ind X
2
Reference solution
2.1
Method of calculation used for the reference solution
At the low frequencies, the wavelengths acoustic of the movements considered are large
compared to dimension characteristic of fluid volume
(
)
L C
/
<<
1
. The problem is thus
monodimensional according to axis X.
It is shown [bib1] that a light fluid as the air primarily acts like an added stiffness tandis
that a heavy fluid behaves only like one added mass. One can thus calculate
first Eigen frequency of the system:
(
)
=
=
=
=
+
=
+
=
+
K
m
K
K
C
S
L
m
m
m
L S
L S
C
L
L
L
air
has has
has
S
E
S
S
E
E
has has
has
S S
E E
with
That is to say
2
2
,
Note:
The first own pulsation
system checks well
L C
/
<<
1
.
2.2 References
bibliographical
[1]
GIBERT - Vibrations of the Structures. Interactions with the fluids. Sources of excitation
random - Collection of the Management of the Studies and Search of EDF.
Code_Aster
®
Version
4.0
Titrate:
ADLV100 Piston coupled to a column of fluid
Date:
14/10/98
Author (S):
F. STIFKENS, G. ROUSSEAU
Key:
V8.21.100-B
Page:
4/32
Manual of Validation
V8.21 booklet: Modal accoustics
HX-XX/98/XXX - Ind X
3 Modeling
With
3.1
Characteristics of modeling
Elements
MECA_HEXA8
,
MEFL_HEXA8
,
MEFS_QUAD4
MECA_HEXA8
MEFL_HEXA8
MEFS_QUAD4
Z
X
y
M4
M3
M2
M1
With
Boundary conditions:
in all the nodes of the face M
DDL_IMPO:
(GROUP_NO: noeusurf
NEAR: 0. PHI:0.)
in all the nodes of the piston
(GROUP_NO: noeupist
DY: 0. DZ:0.)
3.2 Functionalities
tested
Controls
Keys
AFFE_CHAR_MECA
DDL_IMPO
GROUP_NO
[U4.25.01]
DEFI_MATERIAU
ELAS
[U4.23.01]
FLUID
AFFE_MODELE
“MECHANICAL”
“3d_FLUIDE”
GROUP_MA
[U4.22.01]
“FLUI_STRU”
“3D”
MODE_ITER_SIMULT
“TAPE”
FREQ
[U4.52.01]
3.3
Characteristics of the mesh
A number of nodes:
63
A number of meshs and types:
24
HEXA8
, 8
QUAD4
Code_Aster
®
Version
4.0
Titrate:
ADLV100 Piston coupled to a column of fluid
Date:
14/10/98
Author (S):
F. STIFKENS, G. ROUSSEAU
Key:
V8.21.100-B
Page:
5/32
Manual of Validation
V8.21 booklet: Modal accoustics
HX-XX/98/XXX - Ind X
4
Results of modeling A
4.1 Values
tested
Frequency (Hz)
Reference
Aster
Error (%)
13.8285
13.8277
< 0.01
4.2 Remarks
Calculations of modes carried out by:
MODE_ITER_SIMULT
OPTION:“TAPE”
LIST_FREQ (10., 20.)
One does not know the analytical solution of the first clean vector.
Contents of the file results:
Value of the first Eigen frequency of vibration of the coupled system.
4.3 Parameters
of execution
Version: 3.05
Machine: CRAY C90
System:
UNICOS 8.0
Overall dimension memory:
8 megawords
Time CPU to use:
5.7 seconds
Code_Aster
®
Version
4.0
Titrate:
ADLV100 Piston coupled to a column of fluid
Date:
14/10/98
Author (S):
F. STIFKENS, G. ROUSSEAU
Key:
V8.21.100-B
Page:
6/32
Manual of Validation
V8.21 booklet: Modal accoustics
HX-XX/98/XXX - Ind X
5 Modeling
B
5.1
Characteristics of modeling
Elements
MEDPQU4
,
MEFLQU4
,
MEFSSE2
MEDPQU4
MEFSSE2
MEFLQU4
M3
M2
M1
X
y
With
Boundary conditions:
in all the nodes of the face M
DDL_IMPO:
(GROUP_NO: noeusurf
NEAR: 0. PHI:0.)
in all the nodes of the piston
(GROUP_NO: noeupist
DY: 0.)
5.2 Functionalities
tested
Controls
Keys
AFFE_CHAR_MECA
DDL_IMPO
GROUP_NO
[U4.25.01]
DEFI_MATERIAU
ELAS
[U4.23.01]
FLUID
AFFE_MODELE
“MECHANICAL”
“2d_FLUIDE”
GROUP_MA
[U4.22.01]
“2d_FLUI_STRU”
“D_PLAN”
MODE_ITER_SIMULT
“TAPE”
[U4.52.01]
5.3
Characteristics of the mesh
A number of nodes:
21
A number of meshs and types:
12
QUAD4,
4
SEG2
Code_Aster
®
Version
4.0
Titrate:
ADLV100 Piston coupled to a column of fluid
Date:
14/10/98
Author (S):
F. STIFKENS, G. ROUSSEAU
Key:
V8.21.100-B
Page:
7/32
Manual of Validation
V8.21 booklet: Modal accoustics
HX-XX/98/XXX - Ind X
6
Results of modeling B
6.1 Values
tested
Frequency (Hz)
Reference
Aster
Error (%)
13.8285
13.8277
< 0.01
6.2 Remarks
Calculations carried out by:
MODE_ITER_SIMULT
OPTION:“TAPE”
Freq (10., 20.)
One does not know the analytical solution of the first clean vector.
Contents of the file results:
Value of the first Eigen frequency of vibration of the coupled system.
6.3 Parameters
of execution
Version: 3.00.10
Machine: CRAY C90
System:
UNICOS 8.0
Overall dimension memory:
8 megawords
Time CPU to use:
2.9 seconds
Code_Aster
®
Version
4.0
Titrate:
ADLV100 Piston coupled to a column of fluid
Date:
14/10/98
Author (S):
F. STIFKENS, G. ROUSSEAU
Key:
V8.21.100-B
Page:
8/32
Manual of Validation
V8.21 booklet: Modal accoustics
HX-XX/98/XXX - Ind X
7 Modeling
C
7.1
Characteristics of modeling
Elements
MEAXQU4
,
MEAXFLQ4, MEAXFSS2
MEAXQU4
MEAXFSS2
MEAXFLQ4
M3
M2
M1
Y
X
With
Boundary conditions:
in all the nodes of the face M
DDL_IMPO:
(GROUP_NO: noeusurf
NEAR: 0. PHI:0.)
in all the nodes of the piston
(GROUP_NO: noeupist
DY: 0.)
Not
M1
-->
N019
,
M2
-->
N020
,
M3
-->
N021
,
With
-->
N01
7.2 Functionalities
tested
Controls
Keys
AFFE_CHAR_MECA
DDL_IMPO
GROUP_NO
[U4.25.01]
DEFI_MATERIAU
ELAS
[U4.23.01]
FLUID
AFFE_MODELE
“MECHANICAL”
“AXIS_FLUIDE”
GROUP_MA
[U4.22.01]
“AXIS_FLUI_STRU”
“AXIS”
MODE_ITER_SIMULT
“TAPE”
[U4.52.01]
7.3
Characteristics of the mesh
A number of nodes:
21
A number of meshs and types:
12
QUAD4,
4
SEG2
Code_Aster
®
Version
4.0
Titrate:
ADLV100 Piston coupled to a column of fluid
Date:
14/10/98
Author (S):
F. STIFKENS, G. ROUSSEAU
Key:
V8.21.100-B
Page:
9/32
Manual of Validation
V8.21 booklet: Modal accoustics
HX-XX/98/XXX - Ind X
8
Results of modeling C
8.1 Values
tested
Frequency (Hz)
Reference
Aster
Error (%)
13.8285
13.8277
< 0.01
8.2 Remarks
Calculations carried out by:
MODE_ITER_SIMULT
OPTION:“TAPE”
FREQ (10., 20.)
One does not know the analytical solution of the first clean vector.
Contents of the file results:
Value of the first Eigen frequency of vibration of the coupled system.
8.3 Parameters
of execution
Version: 3.02.04
Machine: CRAY C90
System:
UNICOS 8.0
Overall dimension memory:
4 megawords
Time CPU to use:
4.6 seconds
Code_Aster
®
Version
4.0
Titrate:
ADLV100 Piston coupled to a column of fluid
Date:
14/10/98
Author (S):
F. STIFKENS, G. ROUSSEAU
Key:
V8.21.100-B
Page:
10/32
Manual of Validation
V8.21 booklet: Modal accoustics
HX-XX/98/XXX - Ind X
9 Modeling
D
9.1
Characteristics of modeling
Elements
MECA_HEXA20
,
MEFL_HEXA20
,
MESF_QUAD8
Boundary conditions:
in all the nodes of the face M
DDL_IMPO:
(GROUP_NO: noeusurf
NEAR: 0. PHI:0.)
in all the nodes of the piston
(GROUP_NO: noeupist
DY: 0. DZ:0.)
9.2 Functionalities
tested
Controls
Keys
AFFE_CHAR_MECA
DDL_IMPO
GROUP_NO
[U4.25.01]
DEFI_MATERIAU
ELAS
FLUID
[U4.23.01]
AFFE_MODELE
“MECHANICAL”
“3d_FLUIDE”
“FLUI_STRU”
“3D”
GROUP_MA
[U4.22.01]
MODE_ITER_INV
“ADJUSTS”
FREQ
[U4.52.01]
9.3
Characteristics of the mesh
A number of nodes:
201
A number of meshs and types:
24
HEXA20
, 8
QUAD8
Code_Aster
®
Version
4.0
Titrate:
ADLV100 Piston coupled to a column of fluid
Date:
14/10/98
Author (S):
F. STIFKENS, G. ROUSSEAU
Key:
V8.21.100-B
Page:
11/32
Manual of Validation
V8.21 booklet: Modal accoustics
HX-XX/98/XXX - Ind X
10
Results of modeling D
10.1 Values
tested
Frequency (Hz)
Reference
Aster
Error (%)
13.8285
13.8277
- 0.006
10.2 Remarks
Calculations of modes carried out by:
MODE_ITER_INV
option:“ADJUSTS”
List_freq (10., 20.)
One does not know the analytical solution of the first clean vector.
Contents of the file results:
Value of the first Eigen frequency of vibration of the coupled system.
10.3 Parameters
of execution
Version .3.07
Machine: CRAY C90
System:
UNICOS 8.0
Overall dimension memory:
8 megawords
Time CPU to use:
9.2 seconds
Code_Aster
®
Version
4.0
Titrate:
ADLV100 Piston coupled to a column of fluid
Date:
14/10/98
Author (S):
F. STIFKENS, G. ROUSSEAU
Key:
V8.21.100-B
Page:
12/32
Manual of Validation
V8.21 booklet: Modal accoustics
HX-XX/98/XXX - Ind X
11 Modeling
E
11.1 Characteristics of modeling
Elements
MECA_PENTA15
,
MEFL_PENTA15
,
MESF_TRIA6
Boundary conditions:
in all the nodes of the face M
DDL_IMPO:
(GROUP_NO: noeusurf
NEAR: 0. PHI:0.)
in all the nodes of the piston
(GROUP_NO: noeupist
DY: 0. DZ:0.)
11.2 Functionalities
tested
Controls
Keys
AFFE_CHAR_MECA
DDL_IMPO
GROUP_NO
[U4.25.01]
DEFI_MATERIAU
ELAS
FLUID
[U4.23.01]
AFFE_MODELE
“MECHANICAL”
“3d_FLUIDE”
“FLUI_STRU”
“3D”
GROUP_MA
[U4.22.01]
MODE_ITER_INV
“ADJUSTS”
FREQ
[U4.52.01]
11.3 Characteristics of the mesh
A number of nodes:
331
A number of meshs and types:
84
PENTA15
, 28
TRIA6
Code_Aster
®
Version
4.0
Titrate:
ADLV100 Piston coupled to a column of fluid
Date:
14/10/98
Author (S):
F. STIFKENS, G. ROUSSEAU
Key:
V8.21.100-B
Page:
13/32
Manual of Validation
V8.21 booklet: Modal accoustics
HX-XX/98/XXX - Ind X
12
Results of modeling E
12.1 Values
tested
Frequency (Hz)
Reference
Aster
Error (%)
13.8285
13.8277
- 0.006
12.2 Remarks
Calculations of modes carried out by:
MODE_ITER_INV
option:“ADJUSTS”
List_freq (10., 20.)
One does not know the analytical solution of the first clean vector.
Contents of the file results:
Value of the first Eigen frequency of vibration of the coupled system.
12.3 Parameters
of execution
Version .3.07
Machine: CRAY C90
System:
UNICOS 8.0
Overall dimension memory:
8 megawords
Time CPU to use:
18.1 seconds
Code_Aster
®
Version
4.0
Titrate:
ADLV100 Piston coupled to a column of fluid
Date:
14/10/98
Author (S):
F. STIFKENS, G. ROUSSEAU
Key:
V8.21.100-B
Page:
14/32
Manual of Validation
V8.21 booklet: Modal accoustics
HX-XX/98/XXX - Ind X
13 Modeling
F
13.1 Characteristics of modeling
Elements
MECA_PENTA6
,
MEFL_PENTA6
,
MESF_TRIA3
Boundary conditions:
in all the nodes of the face M
DDL_IMPO:
(GROUP_NO: noeusurf
NEAR: 0. PHI:0.)
in all the nodes of the piston
(GROUP_NO: noeupist
DY: 0. DZ:0.)
13.2 Functionalities
tested
Controls
Keys
AFFE_CHAR_MECA
DDL_IMPO
GROUP_NO
[U4.25.01]
DEFI_MATERIAU
ELAS
FLUID
[U4.23.01]
AFFE_MODELE
“MECHANICAL”
“3d_FLUIDE”
“FLUI_STRU”
“3D”
GROUP_MA
[U4.22.01]
MODE_ITER_INV
“ADJUSTS”
FREQ
[U4.52.01]
13.3 Characteristics of the mesh
A number of nodes:
84
A number of meshs and types:
84
PENTA6
, 28
TRIA3
Code_Aster
®
Version
4.0
Titrate:
ADLV100 Piston coupled to a column of fluid
Date:
14/10/98
Author (S):
F. STIFKENS, G. ROUSSEAU
Key:
V8.21.100-B
Page:
15/32
Manual of Validation
V8.21 booklet: Modal accoustics
HX-XX/98/XXX - Ind X
14
Results of modeling F
14.1 Values
tested
Frequency (Hz)
Reference
Aster
Error (%)
13.8285
13.8277
- 0.006
14.2 Remarks
Calculations of modes carried out by:
MODE_ITER_INV
option:“ADJUSTS”
List_freq (10., 20.)
One does not know the analytical solution of the first clean vector.
Contents of the file results:
Value of the first Eigen frequency of vibration of the coupled system.
14.3 Parameters
of execution
Version .3.07
Machine: CRAY C90
System:
UNICOS 8.0
Overall dimension memory:
8 megawords
Time CPU to use:
6.1 seconds
Code_Aster
®
Version
4.0
Titrate:
ADLV100 Piston coupled to a column of fluid
Date:
14/10/98
Author (S):
F. STIFKENS, G. ROUSSEAU
Key:
V8.21.100-B
Page:
16/32
Manual of Validation
V8.21 booklet: Modal accoustics
HX-XX/98/XXX - Ind X
15 Modeling
G
15.1 Characteristics of modeling
Elements
MECA_TETRA10
,
MEFL_TETRA10
,
MESF_TRIA6
Boundary conditions:
in all the nodes of the face M
DDL_IMPO:
(GROUP_NO: noeusurf
NEAR: 0. PHI:0.)
in all the nodes of the piston
(GROUP_NO: noeupist
DY: 0. DZ:0.)
15.2 Functionalities
tested
Controls
Keys
AFFE_CHAR_MECA
DDL_IMPO
GROUP_NO
[U4.25.01]
DEFI_MATERIAU
ELAS
FLUID
[U4.23.01]
AFFE_MODELE
“MECHANICAL”
“3d_FLUIDE”
“FLUI_STRU”
“3D”
GROUP_MA
[U4.22.01]
MODE_ITER_INV
“ADJUSTS”
FREQ
[U4.52.01]
15.3 Characteristics of the mesh
A number of nodes:
366
A number of meshs and types:
173
TETRA10
, 16
TRIA6
Code_Aster
®
Version
4.0
Titrate:
ADLV100 Piston coupled to a column of fluid
Date:
14/10/98
Author (S):
F. STIFKENS, G. ROUSSEAU
Key:
V8.21.100-B
Page:
17/32
Manual of Validation
V8.21 booklet: Modal accoustics
HX-XX/98/XXX - Ind X
16
Results of modeling G
16.1 Values
tested
Frequency (Hz)
Reference
Aster
Error (%)
13.8285
13.8277
- 0.006
16.2 Remarks
Calculations of modes carried out by:
MODE_ITER_INV
option:“ADJUSTS”
List_freq (10., 20.)
One does not know the analytical solution of the first clean vector.
Contents of the file results:
Value of the first Eigen frequency of vibration of the coupled system.
16.3 Parameters
of execution
Version .3.07
Machine: CRAY C90
System:
UNICOS 8.0
Overall dimension memory:
8 megawords
Time CPU to use:
19.0 seconds
Code_Aster
®
Version
4.0
Titrate:
ADLV100 Piston coupled to a column of fluid
Date:
14/10/98
Author (S):
F. STIFKENS, G. ROUSSEAU
Key:
V8.21.100-B
Page:
18/32
Manual of Validation
V8.21 booklet: Modal accoustics
HX-XX/98/XXX - Ind X
17 Modeling
H
17.1 Characteristics of modeling
Elements
MECA_TETRA4
,
MEFL_TETRA4
,
MESF_TRIA3
Boundary conditions:
in all the nodes of the face M
DDL_IMPO:
(GROUP_NO: noeusurf
NEAR: 0. PHI:0.)
in all the nodes of the piston
(GROUP_NO: noeupist
DY: 0. DZ:0.)
17.2 Functionalities
tested
Controls
Keys
AFFE_CHAR_MECA
DDL_IMPO
GROUP_NO
[U4.25.01]
DEFI_MATERIAU
ELAS
FLUID
[U4.23.01]
AFFE_MODELE
“MECHANICAL”
“3d_FLUIDE”
“FLUI_STRU”
“3D”
GROUP_MA
[U4.22.01]
MODE_ITER_INV
“ADJUSTS”
FREQ
[U4.52.01]
17.3 Characteristics of the mesh
A number of nodes:
69
A number of meshs and types:
173
TETRA4
, 16
TRIA3
Code_Aster
®
Version
4.0
Titrate:
ADLV100 Piston coupled to a column of fluid
Date:
14/10/98
Author (S):
F. STIFKENS, G. ROUSSEAU
Key:
V8.21.100-B
Page:
19/32
Manual of Validation
V8.21 booklet: Modal accoustics
HX-XX/98/XXX - Ind X
18
Results of modeling H
18.1 Values
tested
Frequency (Hz)
Reference
Aster
Error (%)
13.8285
13.8277
- 0.006
18.2 Remarks
Calculations of modes carried out by:
MODE_ITER_INV
option:“ADJUSTS”
List_freq (10., 20.)
One does not know the analytical solution of the first clean vector.
Contents of the file results:
Value of the first Eigen frequency of vibration of the coupled system.
18.3 Parameters
of execution
Version .3.07
Machine: CRAY C90
System:
UNICOS 8.0
Overall dimension memory:
8 megawords
Time CPU to use:
5.5 seconds
Code_Aster
®
Version
4.0
Titrate:
ADLV100 Piston coupled to a column of fluid
Date:
14/10/98
Author (S):
F. STIFKENS, G. ROUSSEAU
Key:
V8.21.100-B
Page:
20/32
Manual of Validation
V8.21 booklet: Modal accoustics
HX-XX/98/XXX - Ind X
19 Modeling
I
19.1 Characteristics of modeling
Elements
MEDPQU8
,
MEFLQU8
,
MEFSSE3
Boundary conditions:
in all the nodes of the face M
DDL_IMPO:
(GROUP_NO: noeusurf
NEAR: 0. PHI:0.)
in all the nodes of the piston
(GROUP_NO: noeupist
DY: 0.)
19.2 Functionalities
tested
Controls
Keys
AFFE_CHAR_MECA
DDL_IMPO
GROUP_NO
[U4.25.01]
DEFI_MATERIAU
ELAS
FLUID
[U4.23.01]
AFFE_MODELE
“MECHANICAL”
“2d_FLUIDE”
“2d_FLUI_STRU”
“D_PLAN”
GROUP_MA
[U4.22.01]
MODE_ITER_INV
“ADJUSTS”
[U4.52.01]
19.3 Characteristics of the mesh
A number of nodes:
53
A number of meshs and types:
12
QUAD8,
4
SEG3
Code_Aster
®
Version
4.0
Titrate:
ADLV100 Piston coupled to a column of fluid
Date:
14/10/98
Author (S):
F. STIFKENS, G. ROUSSEAU
Key:
V8.21.100-B
Page:
21/32
Manual of Validation
V8.21 booklet: Modal accoustics
HX-XX/98/XXX - Ind X
20
Results of modeling I
20.1 Values
tested
Frequency (Hz)
Reference
Aster
Error (%)
13.8285
13.8277
- 0.006
20.2 Remarks
Calculations carried out by:
MODE_ITER_INV
option:“ADJUSTS”
Freq (10., 20.)
One does not know the analytical solution of the first clean vector.
Contents of the file results:
Value of the first Eigen frequency of vibration of the coupled system.
20.3 Parameters
of execution
Version: 3.07
Machine: CRAY C90
System:
UNICOS 8.0
Overall dimension memory:
8 megawords
Time CPU to use:
4.7 seconds
Code_Aster
®
Version
4.0
Titrate:
ADLV100 Piston coupled to a column of fluid
Date:
14/10/98
Author (S):
F. STIFKENS, G. ROUSSEAU
Key:
V8.21.100-B
Page:
22/32
Manual of Validation
V8.21 booklet: Modal accoustics
HX-XX/98/XXX - Ind X
21 Modeling
J
21.1 Characteristics of modeling
Elements
MEDPTR6
,
MEFLTR6
,
MEFSSE3
Boundary conditions:
in all the nodes of the face M
DDL_IMPO:
(GROUP_NO: noeusurf
NEAR: 0. PHI:0.)
in all the nodes of the piston
(GROUP_NO: noeupist
DY: 0.)
21.2 Functionalities
tested
Controls
Keys
AFFE_CHAR_MECA
DDL_IMPO
GROUP_NO
[U4.25.01]
DEFI_MATERIAU
ELAS
FLUID
[U4.23.01]
AFFE_MODELE
“MECHANICAL”
“2d_FLUIDE”
“2d_FLUI_STRU”
“D_PLAN”
GROUP_MA
[U4.22.01]
MODE_ITER_INV
“ADJUSTS”
[U4.52.01]
21.3 Characteristics of the mesh
A number of nodes:
65
A number of meshs and types:
24
TRIA6,
4
SEG3
Code_Aster
®
Version
4.0
Titrate:
ADLV100 Piston coupled to a column of fluid
Date:
14/10/98
Author (S):
F. STIFKENS, G. ROUSSEAU
Key:
V8.21.100-B
Page:
23/32
Manual of Validation
V8.21 booklet: Modal accoustics
HX-XX/98/XXX - Ind X
22
Results of modeling J
22.1 Values
tested
Frequency (Hz)
Reference
Aster
Error (%)
13.8285
13.8277
- 0.006
22.2 Remarks
Calculations carried out by:
MODE_ITER_INV
option:“ADJUSTS”
Freq (10., 20.)
One does not know the analytical solution of the first clean vector.
Contents of the file results:
Value of the first Eigen frequency of vibration of the coupled system.
22.3 Parameters
of execution
Version: 3.07
Machine: CRAY C90
System:
UNICOS 8.0
Overall dimension memory:
8 megawords
Time CPU to use:
4.9 seconds
Code_Aster
®
Version
4.0
Titrate:
ADLV100 Piston coupled to a column of fluid
Date:
14/10/98
Author (S):
F. STIFKENS, G. ROUSSEAU
Key:
V8.21.100-B
Page:
24/32
Manual of Validation
V8.21 booklet: Modal accoustics
HX-XX/98/XXX - Ind X
23 Modeling
K
23.1 Characteristics of modeling
Elements
MEDPTR3
,
MEFLT3
,
MEFSSE2
Boundary conditions:
in all the nodes of the face M
DDL_IMPO:
(GROUP_NO: noeusurf
NEAR: 0. PHI:0.)
in all the nodes of the piston
(GROUP_NO: noeupist
DY: 0.)
23.2 Functionalities
tested
Controls
Keys
AFFE_CHAR_MECA
DDL_IMPO
GROUP_NO
[U4.25.01]
DEFI_MATERIAU
ELAS
FLUID
[U4.23.01]
AFFE_MODELE
“MECHANICAL”
“2d_FLUIDE”
“2d_FLUI_STRU”
“D_PLAN”
GROUP_MA
[U4.22.01]
MODE_ITER_INV
“ADJUSTS”
[U4.52.01]
23.3 Characteristics of the mesh
A number of nodes:
65
A number of meshs and types:
24
TRIA3,
4
SEG2
Code_Aster
®
Version
4.0
Titrate:
ADLV100 Piston coupled to a column of fluid
Date:
14/10/98
Author (S):
F. STIFKENS, G. ROUSSEAU
Key:
V8.21.100-B
Page:
25/32
Manual of Validation
V8.21 booklet: Modal accoustics
HX-XX/98/XXX - Ind X
24
Results of modeling K
24.1 Values
tested
Frequency (Hz)
Reference
Aster
Error (%)
13.8285
13.8277
- 0.006
24.2 Remarks
Calculations carried out by:
MODE_ITER_INV
option:“ADJUSTS”
Freq (10., 20.)
One does not know the analytical solution of the first clean vector.
Contents of the file results:
Value of the first Eigen frequency of vibration of the coupled system.
24.3 Parameters
of execution
Version: 3.07
Machine: CRAY C90
System:
UNICOS 8.0
Overall dimension memory:
8 megawords
Time CPU to use:
4.4 seconds
Code_Aster
®
Version
4.0
Titrate:
ADLV100 Piston coupled to a column of fluid
Date:
14/10/98
Author (S):
F. STIFKENS, G. ROUSSEAU
Key:
V8.21.100-B
Page:
26/32
Manual of Validation
V8.21 booklet: Modal accoustics
HX-XX/98/XXX - Ind X
25 Modeling
L
25.1 Characteristics of modeling
Elements
MEAXQU8
,
MEAXFLQU8, MEAXFSSE3
Boundary conditions:
in all the nodes of the face M
DDL_IMPO:
(GROUP_NO: noeusurf
NEAR: 0. PHI:0.)
in all the nodes of the piston
(GROUP_NO: noeupist
DY: 0.)
25.2 Functionalities
tested
Controls
Keys
AFFE_CHAR_MECA
DDL_IMPO
GROUP_NO
[U4.25.01]
DEFI_MATERIAU
ELAS
FLUID
[U4.23.01]
AFFE_MODELE
“MECHANICAL”
“AXIS_FLUIDE”
“AXIS_FLUI_STRU”
“AXIS”
GROUP_MA
[U4.22.01]
MODE_ITER_INV
“ADJUSTS”
[U4.52.01]
25.3 Characteristics of the mesh
A number of nodes:
53
A number of meshs and types:
12
QUAD8,
4
SEG3
Code_Aster
®
Version
4.0
Titrate:
ADLV100 Piston coupled to a column of fluid
Date:
14/10/98
Author (S):
F. STIFKENS, G. ROUSSEAU
Key:
V8.21.100-B
Page:
27/32
Manual of Validation
V8.21 booklet: Modal accoustics
HX-XX/98/XXX - Ind X
26
Results of modeling L
26.1 Values
tested
Frequency (Hz)
Reference
Aster
Error (%)
13.8285
13.8277
- 0.006
26.2 Remarks
MODE_ITER_INV
option:“ADJUSTS”
Freq (10., 20.)
One does not know the analytical solution of the first clean vector.
Contents of the file results:
Value of the first Eigen frequency of vibration of the coupled system.
26.3 Parameters
of execution
Version: 3.07
Machine: CRAY C90
System:
UNICOS 8.0
Overall dimension memory:
4 megawords
Time CPU to use:
4.7 seconds
Code_Aster
®
Version
4.0
Titrate:
ADLV100 Piston coupled to a column of fluid
Date:
14/10/98
Author (S):
F. STIFKENS, G. ROUSSEAU
Key:
V8.21.100-B
Page:
28/32
Manual of Validation
V8.21 booklet: Modal accoustics
HX-XX/98/XXX - Ind X
27 Modeling
M
27.1 Characteristics of modeling
Elements
MEAXTR6
,
MEAXFLTR6, MEAXFSSE3
Boundary conditions:
in all the nodes of the face M
DDL_IMPO:
(GROUP_NO: noeusurf
NEAR: 0. PHI:0.)
in all the nodes of the piston
(GROUP_NO: noeupist
DY: 0.)
27.2 Functionalities
tested
Controls
Keys
AFFE_CHAR_MECA
DDL_IMPO
GROUP_NO
[U4.25.01]
DEFI_MATERIAU
ELAS
FLUID
[U4.23.01]
AFFE_MODELE
“MECHANICAL”
“AXIS_FLUIDE”
“AXIS_FLUI_STRU”
“AXIS”
GROUP_MA
[U4.22.01]
MODE_ITER_INV
“ADJUSTS”
[U4.52.01]
27.3 Characteristics of the mesh
A number of nodes:
65
A number of meshs and types:
24
TRIA6,
4
SEG3
Code_Aster
®
Version
4.0
Titrate:
ADLV100 Piston coupled to a column of fluid
Date:
14/10/98
Author (S):
F. STIFKENS, G. ROUSSEAU
Key:
V8.21.100-B
Page:
29/32
Manual of Validation
V8.21 booklet: Modal accoustics
HX-XX/98/XXX - Ind X
28
Results of modeling M
28.1 Values
tested
Frequency (Hz)
Reference
Aster
Error (%)
13.8285
13.8277
- 0.006
28.2 Remarks
MODE_ITER_INV
option:“ADJUSTS”
Freq (10., 20.)
One does not know the analytical solution of the first clean vector.
Contents of the file results:
Value of the first Eigen frequency of vibration of the coupled system.
28.3 Parameters
of execution
Version: 3.07
Machine: CRAY C90
System:
UNICOS 8.0
Overall dimension memory:
4 megawords
Time CPU to use:
4.9 seconds
Code_Aster
®
Version
4.0
Titrate:
ADLV100 Piston coupled to a column of fluid
Date:
14/10/98
Author (S):
F. STIFKENS, G. ROUSSEAU
Key:
V8.21.100-B
Page:
30/32
Manual of Validation
V8.21 booklet: Modal accoustics
HX-XX/98/XXX - Ind X
29 Modeling
NR
29.1 Characteristics of modeling
Elements
MEAXTR3
,
MEAXFLTR3, MEAXFSSE2
Boundary conditions:
in all the nodes of the face M
DDL_IMPO:
(GROUP_NO: noeusurf
NEAR: 0. PHI:0.)
in all the nodes of the piston
(GROUP_NO: noeupist
DY: 0.)
29.2 Functionalities
tested
Controls
Keys
AFFE_CHAR_MECA
DDL_IMPO
GROUP_NO
[U4.25.01]
DEFI_MATERIAU
ELAS
FLUID
[U4.23.01]
AFFE_MODELE
“MECHANICAL”
“AXIS_FLUIDE”
“AXIS_FLUI_STRU”
“AXIS”
GROUP_MA
[U4.22.01]
MODE_ITER_INV
“ADJUSTS”
[U4.52.01]
29.3 Characteristics of the mesh
A number of nodes:
21
A number of meshs and types:
24
TRIA6,
4
SEG3
Code_Aster
®
Version
4.0
Titrate:
ADLV100 Piston coupled to a column of fluid
Date:
14/10/98
Author (S):
F. STIFKENS, G. ROUSSEAU
Key:
V8.21.100-B
Page:
31/32
Manual of Validation
V8.21 booklet: Modal accoustics
HX-XX/98/XXX - Ind X
30
Results of modeling NR
30.1 Values
tested
Frequency (Hz)
Reference
Aster
Error (%)
13.8285
13.8277
- 0.006
30.2 Remarks
MODE_ITER_INV
option:“ADJUSTS”
Freq (10., 20.)
One does not know the analytical solution of the first clean vector.
Contents of the file results:
Value of the first Eigen frequency of vibration of the coupled system.
30.3 Parameters
of execution
Version: 3.07
Machine: CRAY C90
System:
UNICOS 8.0
Overall dimension memory:
4 megawords
Time CPU to use:
4.4 seconds
Code_Aster
®
Version
4.0
Titrate:
ADLV100 Piston coupled to a column of fluid
Date:
14/10/98
Author (S):
F. STIFKENS, G. ROUSSEAU
Key:
V8.21.100-B
Page:
32/32
Manual of Validation
V8.21 booklet: Modal accoustics
HX-XX/98/XXX - Ind X
31
Summary of the results
The value of the modal frequency obtained with
Code_Aster
is satisfactory since, with one
moderated discretization, it is equal to 0,01% close with the theoretical solution, whatever the type of
modeling.