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
Organization (S): EDF/EP/AMV
Handbook 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.
Handbook of Validation
V8.21 booklet: Modal accoustics
HX-XX/98/XXX - Ind 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:
2/32
1
Problem of reference
1.1 Geometry
y
Fluid 1: air
Solid
Z
Q3
P3
M3
Q4
M4
P4
Fluid 2: water
has
M
Q2
M2
P
P2
With
Q
P1
M1
1
X
Ls
= the 0.075, Ls = 0.025, It = 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 1011Pa
S = 7800 kg/m3
= 0.3
air: Ca = 340 m/s
has = 1.2 kg/m3
water: this = 1400 m/s
E = 1000 kg/m3
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 blocks all the ddl except the translation in X so that this solid
comprise like a piston according to axis X.
Handbook of Validation
V8.21 booklet: Modal accoustics
HX-XX/98/XXX - Ind 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
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:
S
K
K = K
2
air =
=
C
has has
with
L
m
has
m = ms + me = L S
S
S
+ L S
E
E
Maybe,
c2
=
has has
(the L
S S + L
E E)
Note:
The first own pulsation of the system checks L/C well << 1.
2.2 References
bibliographical
[1]
GIBERT - Vibrations of Structures. Interactions with the fluids. Sources of excitation
random - Collection of Direction of Etudes and Recherches from EDF.
Handbook of Validation
V8.21 booklet: Modal accoustics
HX-XX/98/XXX - Ind 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:
4/32
3 Modeling
With
3.1
Characteristics of modeling
Elements MECA_HEXA8, MEFL_HEXA8, MEFS_QUAD4
Z
M3
M4
y
M2
With
M1
X
MEFS_QUAD4
MEFL_HEXA8
MECA_HEXA8
Boundary conditions:
in all the nodes of the face M
DDL_IMPO:
(GROUP_NO: noeusurf
PRES: 0. PHI:0.)
in all the nodes of the piston
(GROUP_NO: noeupist
DY: 0. DZ:0.)
3.2 Functionalities
tested
Commands
Keys
AFFE_CHAR_MECA
DDL_IMPO
GROUP_NO
[U4.25.01]
DEFI_MATERIAU
ELAS
[U4.23.01]
FLUIDE
AFFE_MODELE
“MECANIQUE”
“3d_FLUIDE”
GROUP_MA [U4.22.01]
“FLUI_STRU”
“3D”
MODE_ITER_SIMULT
“BANDE”
FREQ
[U4.52.01]
3.3
Characteristics of the grid
A number of nodes:
63
A number of meshs and types:
24 HEXA8, 8 QUAD4
Handbook of Validation
V8.21 booklet: Modal accoustics
HX-XX/98/XXX - Ind 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:
5/32
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:“BANDE”
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
Obstruction memory:
8 megawords
Time CPU to use:
5.7 seconds
Handbook of Validation
V8.21 booklet: Modal accoustics
HX-XX/98/XXX - Ind 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:
6/32
5 Modeling
B
5.1
Characteristics of modeling
Elements MEDPQU4, MEFLQU4, MEFSSE2
y
MEDPQU4
M3
M2
With
M1
X
MEFLQU4
MEFSSE2
Boundary conditions:
in all the nodes of the face M
DDL_IMPO:
(GROUP_NO: noeusurf
PRES: 0. PHI:0.)
in all the nodes of the piston
(GROUP_NO: noeupist
DY: 0.)
5.2 Functionalities
tested
Commands
Keys
AFFE_CHAR_MECA
DDL_IMPO
GROUP_NO
[U4.25.01]
DEFI_MATERIAU
ELAS
[U4.23.01]
FLUIDE
AFFE_MODELE
“MECANIQUE”
“2d_FLUIDE”
GROUP_MA [U4.22.01]
“2d_FLUI_STRU”
“D_PLAN”
MODE_ITER_SIMULT
“BANDE”
[U4.52.01]
5.3
Characteristics of the grid
A number of nodes:
21
A number of meshs and types:
12 QUAD4, 4 SEG2
Handbook of Validation
V8.21 booklet: Modal accoustics
HX-XX/98/XXX - Ind 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:
7/32
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:“BANDE”
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
Obstruction memory:
8 megawords
Time CPU to use:
2.9 seconds
Handbook of Validation
V8.21 booklet: Modal accoustics
HX-XX/98/XXX - Ind 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:
8/32
7 Modeling
C
7.1
Characteristics of modeling
Elements MEAXQU4, MEAXFLQ4, MEAXFSS2
MEAXQU4
M1
Y
With
M2
M3
MEAXFLQ4
X
MEAXFSS2
Boundary conditions:
in all the nodes of the face M
DDL_IMPO:
(GROUP_NO: noeusurf
PRES: 0. PHI:0.)
in all the nodes of the piston
(GROUP_NO: noeupist
DY: 0.)
Not M1 --> N019, m2 --> N020, m3 --> N021, A --> N01
7.2 Functionalities
tested
Commands
Keys
AFFE_CHAR_MECA
DDL_IMPO
GROUP_NO
[U4.25.01]
DEFI_MATERIAU
ELAS
[U4.23.01]
FLUIDE
AFFE_MODELE
“MECANIQUE”
“AXIS_FLUIDE”
GROUP_MA [U4.22.01]
“AXIS_FLUI_STRU”
“AXIS”
MODE_ITER_SIMULT
“BANDE”
[U4.52.01]
7.3
Characteristics of the grid
A number of nodes:
21
A number of meshs and types:
12 QUAD4, 4 SEG2
Handbook of Validation
V8.21 booklet: Modal accoustics
HX-XX/98/XXX - Ind 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:
9/32
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:“BANDE”
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
Obstruction memory:
4 megawords
Time CPU to use:
4.6 seconds
Handbook of Validation
V8.21 booklet: Modal accoustics
HX-XX/98/XXX - Ind 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:
10/32
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
PRES: 0. PHI:0.)
in all the nodes of the piston
(GROUP_NO: noeupist
DY: 0. DZ:0.)
9.2 Functionalities
tested
Commands
Keys
AFFE_CHAR_MECA
DDL_IMPO
GROUP_NO
[U4.25.01]
DEFI_MATERIAU
ELAS
[U4.23.01]
FLUIDE
AFFE_MODELE
“MECANIQUE”
“3d_FLUIDE”
GROUP_MA [U4.22.01]
“FLUI_STRU”
“3D”
MODE_ITER_INV
“AJUSTE”
FREQ
[U4.52.01]
9.3
Characteristics of the grid
A number of nodes:
201
A number of meshs and types:
24 HEXA20, 8 QUAD8
Handbook of Validation
V8.21 booklet: Modal accoustics
HX-XX/98/XXX - Ind 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:
11/32
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:“AJUSTE”
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
Obstruction memory:
8 megawords
Time CPU to use:
9.2 seconds
Handbook of Validation
V8.21 booklet: Modal accoustics
HX-XX/98/XXX - Ind 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:
12/32
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
PRES: 0. PHI:0.)
in all the nodes of the piston
(GROUP_NO: noeupist
DY: 0. DZ:0.)
11.2 Functionalities
tested
Commands
Keys
AFFE_CHAR_MECA
DDL_IMPO
GROUP_NO
[U4.25.01]
DEFI_MATERIAU
ELAS
[U4.23.01]
FLUIDE
AFFE_MODELE
“MECANIQUE”
“3d_FLUIDE”
GROUP_MA [U4.22.01]
“FLUI_STRU”
“3D”
MODE_ITER_INV
“AJUSTE”
FREQ
[U4.52.01]
11.3 Characteristics of the grid
A number of nodes:
331
A number of meshs and types:
84 PENTA15, 28 TRIA6
Handbook of Validation
V8.21 booklet: Modal accoustics
HX-XX/98/XXX - Ind 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:
13/32
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:“AJUSTE”
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
Obstruction memory:
8 megawords
Time CPU to use:
18.1 seconds
Handbook of Validation
V8.21 booklet: Modal accoustics
HX-XX/98/XXX - Ind 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:
14/32
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
PRES: 0. PHI:0.)
in all the nodes of the piston
(GROUP_NO: noeupist
DY: 0. DZ:0.)
13.2 Functionalities
tested
Commands
Keys
AFFE_CHAR_MECA
DDL_IMPO
GROUP_NO
[U4.25.01]
DEFI_MATERIAU
ELAS
[U4.23.01]
FLUIDE
AFFE_MODELE
“MECANIQUE”
“3d_FLUIDE”
GROUP_MA [U4.22.01]
“FLUI_STRU”
“3D”
MODE_ITER_INV
“AJUSTE”
FREQ
[U4.52.01]
13.3 Characteristics of the grid
A number of nodes:
84
A number of meshs and types:
84 PENTA6, 28 TRIA3
Handbook of Validation
V8.21 booklet: Modal accoustics
HX-XX/98/XXX - Ind 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:
15/32
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:“AJUSTE”
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
Obstruction memory:
8 megawords
Time CPU to use:
6.1 seconds
Handbook of Validation
V8.21 booklet: Modal accoustics
HX-XX/98/XXX - Ind 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:
16/32
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
PRES: 0. PHI:0.)
in all the nodes of the piston
(GROUP_NO: noeupist
DY: 0. DZ:0.)
15.2 Functionalities
tested
Commands
Keys
AFFE_CHAR_MECA
DDL_IMPO
GROUP_NO
[U4.25.01]
DEFI_MATERIAU
ELAS
[U4.23.01]
FLUIDE
AFFE_MODELE
“MECANIQUE”
“3d_FLUIDE”
GROUP_MA [U4.22.01]
“FLUI_STRU”
“3D”
MODE_ITER_INV
“AJUSTE”
FREQ
[U4.52.01]
15.3 Characteristics of the grid
A number of nodes:
366
A number of meshs and types:
173 TETRA10, 16 TRIA6
Handbook of Validation
V8.21 booklet: Modal accoustics
HX-XX/98/XXX - Ind 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:
17/32
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:“AJUSTE”
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
Obstruction memory:
8 megawords
Time CPU to use:
19.0 seconds
Handbook of Validation
V8.21 booklet: Modal accoustics
HX-XX/98/XXX - Ind 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:
18/32
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
PRES: 0. PHI:0.)
in all the nodes of the piston
(GROUP_NO: noeupist
DY: 0. DZ:0.)
17.2 Functionalities
tested
Commands
Keys
AFFE_CHAR_MECA
DDL_IMPO
GROUP_NO
[U4.25.01]
DEFI_MATERIAU
ELAS
[U4.23.01]
FLUIDE
AFFE_MODELE
“MECANIQUE”
“3d_FLUIDE”
GROUP_MA [U4.22.01]
“FLUI_STRU”
“3D”
MODE_ITER_INV
“AJUSTE”
FREQ
[U4.52.01]
17.3 Characteristics of the grid
A number of nodes:
69
A number of meshs and types:
173 TETRA4, 16 TRIA3
Handbook of Validation
V8.21 booklet: Modal accoustics
HX-XX/98/XXX - Ind 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:
19/32
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:“AJUSTE”
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
Obstruction memory:
8 megawords
Time CPU to use:
5.5 seconds
Handbook of Validation
V8.21 booklet: Modal accoustics
HX-XX/98/XXX - Ind 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:
20/32
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
PRES: 0. PHI:0.)
in all the nodes of the piston
(GROUP_NO: noeupist
DY: 0.)
19.2 Functionalities
tested
Commands
Keys
AFFE_CHAR_MECA
DDL_IMPO
GROUP_NO
[U4.25.01]
DEFI_MATERIAU
ELAS
[U4.23.01]
FLUIDE
AFFE_MODELE
“MECANIQUE”
“2d_FLUIDE”
GROUP_MA [U4.22.01]
“2d_FLUI_STRU”
“D_PLAN”
MODE_ITER_INV
“AJUSTE”
[U4.52.01]
19.3 Characteristics of the grid
A number of nodes:
53
A number of meshs and types:
12 QUAD8, 4 SEG3
Handbook of Validation
V8.21 booklet: Modal accoustics
HX-XX/98/XXX - Ind 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:
21/32
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:“AJUSTE”
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
Obstruction memory:
8 megawords
Time CPU to use:
4.7 seconds
Handbook of Validation
V8.21 booklet: Modal accoustics
HX-XX/98/XXX - Ind 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:
22/32
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
PRES: 0. PHI:0.)
in all the nodes of the piston
(GROUP_NO: noeupist
DY: 0.)
21.2 Functionalities
tested
Commands
Keys
AFFE_CHAR_MECA
DDL_IMPO
GROUP_NO
[U4.25.01]
DEFI_MATERIAU
ELAS
[U4.23.01]
FLUIDE
AFFE_MODELE
“MECANIQUE”
“2d_FLUIDE”
GROUP_MA [U4.22.01]
“2d_FLUI_STRU”
“D_PLAN”
MODE_ITER_INV
“AJUSTE”
[U4.52.01]
21.3 Characteristics of the grid
A number of nodes:
65
A number of meshs and types:
24 TRIA6, 4 SEG3
Handbook of Validation
V8.21 booklet: Modal accoustics
HX-XX/98/XXX - Ind 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:
23/32
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:“AJUSTE”
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
Obstruction memory:
8 megawords
Time CPU to use:
4.9 seconds
Handbook of Validation
V8.21 booklet: Modal accoustics
HX-XX/98/XXX - Ind 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:
24/32
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
PRES: 0. PHI:0.)
in all the nodes of the piston
(GROUP_NO: noeupist
DY: 0.)
23.2 Functionalities
tested
Commands
Keys
AFFE_CHAR_MECA
DDL_IMPO
GROUP_NO
[U4.25.01]
DEFI_MATERIAU
ELAS
[U4.23.01]
FLUIDE
AFFE_MODELE
“MECANIQUE”
“2d_FLUIDE”
GROUP_MA [U4.22.01]
“2d_FLUI_STRU”
“D_PLAN”
MODE_ITER_INV
“AJUSTE”
[U4.52.01]
23.3 Characteristics of the grid
A number of nodes:
65
A number of meshs and types:
24 TRIA3, 4 SEG2
Handbook of Validation
V8.21 booklet: Modal accoustics
HX-XX/98/XXX - Ind 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:
25/32
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:“AJUSTE”
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
Obstruction memory:
8 megawords
Time CPU to use:
4.4 seconds
Handbook of Validation
V8.21 booklet: Modal accoustics
HX-XX/98/XXX - Ind 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:
26/32
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
PRES: 0. PHI:0.)
in all the nodes of the piston
(GROUP_NO: noeupist
DY: 0.)
25.2 Functionalities
tested
Commands
Keys
AFFE_CHAR_MECA
DDL_IMPO
GROUP_NO
[U4.25.01]
DEFI_MATERIAU
ELAS
[U4.23.01]
FLUIDE
AFFE_MODELE
“MECANIQUE”
“AXIS_FLUIDE”
GROUP_MA [U4.22.01]
“AXIS_FLUI_STRU”
“AXIS”
MODE_ITER_INV
“AJUSTE”
[U4.52.01]
25.3 Characteristics of the grid
A number of nodes:
53
A number of meshs and types:
12 QUAD8, 4 SEG3
Handbook of Validation
V8.21 booklet: Modal accoustics
HX-XX/98/XXX - Ind 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:
27/32
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:“AJUSTE”
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
Obstruction memory:
4 megawords
Time CPU to use:
4.7 seconds
Handbook of Validation
V8.21 booklet: Modal accoustics
HX-XX/98/XXX - Ind 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:
28/32
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
PRES: 0. PHI:0.)
in all the nodes of the piston
(GROUP_NO: noeupist
DY: 0.)
27.2 Functionalities
tested
Commands
Keys
AFFE_CHAR_MECA
DDL_IMPO
GROUP_NO
[U4.25.01]
DEFI_MATERIAU
ELAS
[U4.23.01]
FLUIDE
AFFE_MODELE
“MECANIQUE”
“AXIS_FLUIDE”
GROUP_MA [U4.22.01]
“AXIS_FLUI_STRU”
“AXIS”
MODE_ITER_INV
“AJUSTE”
[U4.52.01]
27.3 Characteristics of the grid
A number of nodes:
65
A number of meshs and types:
24 TRIA6, 4 SEG3
Handbook of Validation
V8.21 booklet: Modal accoustics
HX-XX/98/XXX - Ind 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:
29/32
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:“AJUSTE”
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
Obstruction memory:
4 megawords
Time CPU to use:
4.9 seconds
Handbook of Validation
V8.21 booklet: Modal accoustics
HX-XX/98/XXX - Ind 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:
30/32
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
PRES: 0. PHI:0.)
in all the nodes of the piston
(GROUP_NO: noeupist
DY: 0.)
29.2 Functionalities
tested
Commands
Keys
AFFE_CHAR_MECA
DDL_IMPO
GROUP_NO
[U4.25.01]
DEFI_MATERIAU
ELAS
[U4.23.01]
FLUIDE
AFFE_MODELE
“MECANIQUE”
“AXIS_FLUIDE”
GROUP_MA [U4.22.01]
“AXIS_FLUI_STRU”
“AXIS”
MODE_ITER_INV
“AJUSTE”
[U4.52.01]
29.3 Characteristics of the grid
A number of nodes:
21
A number of meshs and types:
24 TRIA6, 4 SEG3
Handbook of Validation
V8.21 booklet: Modal accoustics
HX-XX/98/XXX - Ind 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:
31/32
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:“AJUSTE”
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
Obstruction memory:
4 megawords
Time CPU to use:
4.4 seconds
Handbook of Validation
V8.21 booklet: Modal accoustics
HX-XX/98/XXX - Ind 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:
32/32
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.
Handbook of Validation
V8.21 booklet: Modal accoustics
HX-XX/98/XXX - Ind X