Code_Aster
Version
3
Titrate:
Harmonic SHLV100 Réponse of a hollow roll
Date:
20/09/99
Author (S):
X. DESROCHES
Key:
V2.07.100-C Page:
1/24
Organization (S): EDF/IMA/MN
Handbook of Validation
V2.07 booklet: Harmonic response of the voluminal structures
V2.07.100 document
SHLV 100 - Harmonic Réponse of a cylinder
hollow in plane deformations
Summary:
This axisymmetric three-dimensional test makes it possible to validate calculations of the matrices of rigidity, mass and of
vectors of pressure on all the elements 3D and 2D plane and axisymmetric deformations (10 modelings).
Displacements are imposed:
· maybe by ddl,
· maybe by face of element.
For four modelings 3D, the pressures applied are provided with the minus sign, because the faces
elements 3D are badly directed in the files of grid used.
Handbook of Validation
V2.07 booklet: Harmonic response of the voluminal structures
HI-75/96/005 - Ind A

Code_Aster ®
Version
3
Titrate:
Harmonic SHLV100 Réponse of a hollow roll
Date:
20/09/99
Author (S):
X. DESROCHES
Key:
V2.07.100-C Page:
2/24
1 Problem of reference
1.1 Geometry
y
R
F
E

C
45°
D
P
With
B
Z
face blocked according to Z
X
face blocked according to Z
internal radius has = 0.1 m
external radius B = 0.2 m
Co-ordinates of the points:
With
B
C
D
E
F
X
0.100
0.200
0.1 COS (22.5)
0.2 COS (22.5)
2/2
2
y
0.
0.
0.1 SIN (22.5)
0.2 SIN (22.5)
2/2
2
Z
0.
0.
0.
0.
0.
0.
1.2 Material properties
E = 26 NR/M2
= 0.3
= 35 kg/m3
The very low value of the Young modulus does not have anything physics.
1.3 Boundary conditions and loadings
Pressure interns P = p E jt
with p = 1 Mpa
and
= 0.2 rad/S
1.4 Initial conditions
· without initial conditions,
· direct calculation of the harmonic solution.
Handbook of Validation
V2.07 booklet: Harmonic response of the voluminal structures
HI-75/96/005 - Ind A

Code_Aster ®
Version
3
Titrate:
Harmonic SHLV100 Réponse of a hollow roll
Date:
20/09/99
Author (S):
X. DESROCHES
Key:
V2.07.100-C Page:
3/24
2 Reference solution
2.1 Method of calculation used for the reference solution
U = A J
+
=
=
R
1 (K
R
L
) B Y1 (K rL)
U
U

Z
0




=
1
1
2 µ K
With
2
2
- 1
-
+
2
2
-

rr
L
(
) J0 (K R
L
)
J1 (K R
L
) B
Y0 (K R
L
)
Y1 (K R
L
)

K R
K R

L




L







=
1
1
2 µ K
With


2
2
- 1
+
+
2
2

+

L
(
) J0 (K R
L
)
J1 (K R
L
) B
Y0 (K R
L
)
Y1 (K R
L
)

K R
K R

L


L





= 2 µ
2
zz
K L (
2
-) 1 [A J0 (kL R) + B Y0 (kL R)]

= = =

R
rz
Z
0
+ µ
1 -
1


with: 2
2
=
=
K

4 µ
2 (
=
=
=
1 -)
L
2
C
+
4
2 µ
L
J, J, Y, Y
: Functions of Bessel.
1
0
1
0
Constant A and B are calculated by solving the linear system obtained while writing:
(A) = - p
(b) =
rr
rr
0
One obtains:
- 3
-
for R = 0.1 U = 7 3398
.
10
for R = 0.2
U =
3
R
R
4 6816
.
10
= ­ 1
=
rr
rr
0.

= 16685
.

= 0 66738
.


= 0 20055
.
=
zz
zz
0 20031
.
Passage in the system of Cartesian axes:
= cos2 + sin2 - 2 sin cos
xx
rr

R
= sin2 + cos2 + 2 sin cos
yy
rr

R
= sin cos - sin cos - 2
cos2
-
2
xy
rr

R (
sin)
with
= 0° at points A and B =
°
22.5 at the points C and D
= °
45 at the points E and F
2.2 Results of reference
(,
xx
yy
zz
xy)
Displacements (U, v) and forced
at the points A, B, C, D, E, F.
2.3 Uncertainty on the solution
Precision of the calculation of Fonctions de Bessel.
2.4 Bibliographical references
[1] Mr. BONNET: Methods of the integral equations regularized into elastodynamic - Bulletin
DER - Sery C - N°1/2 - (1987).
[2] ERINGEN - SUHUBI - Elastodynamics, Vol.2: linear theory Academic Press (1975).
Handbook of Validation
V2.07 booklet: Harmonic response of the voluminal structures
HI-75/96/005 - Ind A

Code_Aster ®
Version
3
Titrate:
Harmonic SHLV100 Réponse of a hollow roll
Date:
20/09/99
Author (S):
X. DESROCHES
Key:
V2.07.100-C Page:
4/24
3 Modeling A
3.1 Characteristics of modeling
Elements 3D (PENTA6 and HEXA8) (resulting from the grid 2D below).
F
Normally blocked face
y
D
E
C
45°
X
With
B
Face with imposed pressure
Face blocked out of Dy
along axis Z: 2 layers of elements total thickness: 0.01
Limiting conditions:
DDL_IMPO:
(All:“yes”
Dz: 0. )
face AB
(Group_no:BordAB
Dy: 0. )
face EFF
FACE_IMPO:
(Group_ma:FaceEF
Dnor: 0. )
pressure on face AE
PRES_REP:
(Group_ma:FaceAE
Near: - 1. )
Names of the nodes:
A=No1
B=No119
C=No36
D=No166
E=No41
F=No171
3.2 Characteristics of the grid
A number of nodes: 513
A number of meshs and types: 400 PENTA6 100 HEXA8 40 QUAD4
3.3 Functionalities tested
Commands
Keys
AFFE_CHAR_MECA
DDL_IMPO
GROUP_NO
[U4.25.01]
FACE_IMPO
GROUP_MA
DNOR
PRES_REP
GROUP_MA
AFFE_MATERIAU
TOUT
[U4.23.02]
AFFE_MODELE
“MECANIQUE”
“3D”
TOUT
[U4.22.01]
COMB_MATR_ASSE
[U4.53.01]
DEFI_MATERIAU
ELAS
[U4.23.01]
CALC_CHAM_ELEM
“SIGM_ELNO_DEPL”
[U4.61.01]
3.4 Remarks
The pressure has a negative sign (instead of positive) because the faces of the elements 3D are badly directed.
Handbook of Validation
V2.07 booklet: Harmonic response of the voluminal structures
HI-75/96/005 - Ind A

Code_Aster ®
Version
3
Titrate:
Harmonic SHLV100 Réponse of a hollow roll
Date:
20/09/99
Author (S):
X. DESROCHES
Key:
V2.07.100-C Page:
5/24
4 Results of modeling A
4.1 Values tested
Localization
Sizes
Reference
Aster
% difference
tolerance
U
7.3398 10­3
7.3243 10­3
­ 0.21
10­2
With
v
0.
eps
­

0.2
xx
­ 1.
­ 0.8789
12.1
yy
1.6685
1.6241
­ 2.66
zz
0.20055
0.2235
11.75

0.2
xy
0.
­ 0.0922
­
U
6.78109 10­3
6.7670 10­3
­ 0.21
10­2
C
v
2.80882 10­3
2.8012 10­3
­ 0.27
0.3

0.3
xx
­ 0.60921
­ 0.5121
15.94
yy
1.27771
1.3300
4.09
0.3

0.3
zz
0.20055
0.2454
22.39
xy
­ 0.94346
­ 0.8567
9.20
0.3
U
5.19002 10­3
5.1784 10­3
­ 0.22
10­2
E
v
5.19002 10­3
5.1784 10­3
­ 0.22
0.6

0.6
xx
0.33425
0.4319
29.23
yy
0.33425
0.5315
59.04
0.6

0.6
zz
0.20055
0.289
44.50
xy
­ 1.33425
­ 1.269
4.87
U
4.6716 10­3
4.6641 10­3
­ 0.16
10­2
B
v
0.
eps
­
xx
0.
­ 0.0132
­
yy
0.66738
0.6724
0.75
2.10­2
zz
0.20021
0.1977
­ 1.25
­
xy
0.
0.0219
­
­
U
4.32523 10­3
4.3084 10­3
­ 0.39
10­2
D
v
1.79157 10­3
1.7854 10­3
­ 0.34
0.3
xx
0.09774
0.0739
­ 24.39
0.3
yy
0.56964
0.5728
0.56
0.3
zz
0.20021
0.1941
­ 3.05
0.3
xy
­ 0.23595
­ 0.2348
0.49
0.3
U
3.31039 10­3
3.2974 10­3
­ 0.39
10­2
F
v
3.31039 10­3
3.2974 10­3
­ 0.39
0.2
xx
0.33369
0.2977
­ 10.78
0.2
yy
0.33369
0.3245
2.75
0.2
zz
0.20021
0.1866
­ 6.80
0.2

0.2
xy
­ 0.33369
­ 0.3415
­ 2.34
4.2 Remarks
The grid is insufficient for linear elements.
4.3 Parameters of execution
Version: 3.02
Machine: CRAY C90
System: UNICOS 8.0
Obstruction memory:
8 megawords
Time CPU To use: 10.23 seconds
Handbook of Validation
V2.07 booklet: Harmonic response of the voluminal structures
HI-75/96/005 - Ind A

Code_Aster ®
Version
3
Titrate:
Harmonic SHLV100 Réponse of a hollow roll
Date:
20/09/99
Author (S):
X. DESROCHES
Key:
V2.07.100-C Page:
6/24
5 Modeling B
5.1 Characteristics of modeling
Elements 3D (PENTA15 and HEXA20) (resulting from the grid 2D below).
y
B
D
Face blocked in dx
F
With
Normally blocked face
C
E
45°
Face with imposed pressure
X
along axis Z: 2 layers of elements total thickness: 0.01
Limiting conditions:
DDL_IMPO:
(All:“yes”
Dz: 0. )
face AB
(Group_no:BordAB
Dx: 0. )
face EFF
FACE_IMPO:
(Group_ma:FaceEF
Dnor: 0. )
pressure on face AE
PRES_REP:
(Group_ma:FaceAE
Near: - 1. )
Names of the nodes:
A=No2
B=No361
C=No121
D=No584
E=No155
F=No503
5.2 Characteristics of the grid
A number of nodes: 2115
A number of meshs and types: 400 PENTA15 100 HEXA20 40 QUAD8
5.3 Functionalities tested
Commands
Keys
AFFE_CHAR_MECA
DDL_IMPO
GROUP_NO
[U4.25.01]
FACE_IMPO
GROUP_MA
DNOR
PRES_REP
GROUP_MA
AFFE_MATERIAU
TOUT
[U4.23.02]
AFFE_MODELE
“MECANIQUE”
“3D”
TOUT
[U4.22.01]
COMB_MATR_ASSE
[U4.53.01]
DEFI_MATERIAU
ELAS
[U4.23.01]
NUME_DDL
RENUM
“RCMK”
“EXTRACTION” [U4.42.01]
CALC_CHAM_ELEM
“SIGM_ELNO_DEPL”
[U4.61.01]
5.4 Remarks
The pressure has a negative sign (instead of positive) because the faces of the elements 3D are badly directed.
Handbook of Validation
V2.07 booklet: Harmonic response of the voluminal structures
HI-75/96/005 - Ind A

Code_Aster ®
Version
3
Titrate:
Harmonic SHLV100 Réponse of a hollow roll
Date:
20/09/99
Author (S):
X. DESROCHES
Key:
V2.07.100-C Page:
7/24
6 Results of modeling B
6.1 Values tested
Localization
Sizes
Reference
Aster
% difference
tolerance
U
0.
eps
­
With
v
7.3398 10­3
7.3326 10­3
­ 0.10
10­2
xx
1.6685
1.6669
­ 0.09
10­2
yy
­ 1.
­ 0.9959
0.41
10­2
zz
0.20055
0.2013
0.37
10­2
xy
0.
3.3234 10­3
­
10­2
U
­ 2.80882 10­3
­ 2.8063 10­3
­ 0.09
10­2
C
v
6.78109 10­3
6.7745 10­3
­ 0.10
10­2
xx
1.27771
1.278
0.02
10­2
yy
­ 0.60921
­ 0.6078
0.23
10­2
zz
0.20055
0.20107
0.26
10­2
xy
0.94346
0.94027
0.34
10­2
U
­ 5.19002 10­3
­ 5.1851 10­3
­ 0.09
10­2
E
v
5.19002 10­3
5.1851 10­3
­ 0.10
10­2
xx
0.33425
0.3346
0.10
10­2
yy
0.33425
0.3340
­ 0.07
10­2
zz
0.20055
0.2006
0.02
10­2
xy
1.33425
1.331
­ 0.24
10­2
U
0.
eps
­
B
v
4.6716 10­3
4.6682 10­3
­ 0.07
10­2
xx
0.66738
0.6675
0.02
10­2
yy
0.
3.2779 10­4
­
10­2
zz
0.20021
0.2003
0.04
10­2
xy
0.
­ 5.0918 10­4
­
10­2
U
­ 1.79157 10­3
­ 1.7864 10­3
­ 0.29
10­2
D
v
4.32523 10­3
4.3129 10­3
­ 0.29
10­2
xx
0.56964
0.56957
­ 0.01
10­2
yy
0.09774
0.09803
0.30
10­2
zz
0.20021
0.20027
0.03
10­2
xy
0.23595
0.23623
0.12
10­2
U
­ 3.31039 10­3
­ 3.3009 10­3
­ 0.29
10­2
F
v
3.31039 10­3
3.3009 10­3
­ 0.29
10­2
xx
0.33369
0.3337
­ 0.003
10­3
yy
0.33369
0.3337
0.003
10­3
zz
0.20021
0.2002
0.
10­3
xy
0.33369
0.3339
0.06
10­3
6.2 Parameters of execution
Version: 3.02
Machine: CRAY C90
System: UNICOS 8.0
Obstruction memory:
8 megawords
Time CPU To use: 94.09 seconds
Handbook of Validation
V2.07 booklet: Harmonic response of the voluminal structures
HI-75/96/005 - Ind A

Code_Aster ®
Version
3
Titrate:
Harmonic SHLV100 Réponse of a hollow roll
Date:
20/09/99
Author (S):
X. DESROCHES
Key:
V2.07.100-C Page:
8/24
7 Modeling C
7.1 Characteristics of modeling
Elements 3D (TETRA4)
along axis Z: 2 layers of elements total thickness: 0.01
Limiting conditions:
DDL_IMPO:
(All:“yes”
Dz: 0. )
face AB
(Group_no:BordAB
Dy: 0. )
face EFF
FACE_IMPO:
(Group_ma:FaceEF
Dnor: 0. )
pressure on face AE
PRES_REP:
(Group_ma:FaceAE
Near: - 1. )
Names of the nodes:
A=No3
B=No7
C=No4
D=No8
E=No154
F=No156
plan Z = 0.005
A2=No1
B2=No5
C2=No2
D2=No6
E2=No153
F2=No155
plan Z = 0.01
A3=No283
B3=No285
C3=No284
D3=No286
E3=No359
F3=No360
7.2 Characteristics of the grid
A number of nodes: 423
A number of meshs and types: 1416 TETRA4 72 TRIA3
7.3 Functionalities tested
Commands
Keys
AFFE_CHAR_MECA
DDL_IMPO
GROUP_NO
[U4.25.01]
FACE_IMPO
GROUP_MA
DNOR
PRES_REP
GROUP_MA
AFFE_MATERIAU
TOUT
[U4.23.02]
AFFE_MODELE
“MECANIQUE”
“3D”
TOUT
[U4.22.01]
COMB_MATR_ASSE
[U4.53.01]
DEFI_MATERIAU
ELAS
[U4.23.01]
CALC_CHAM_ELEM
“SIGM_ELNO_DEPL”
[U4.61.01]
7.4 Remarks
The pressure has a negative sign (instead of positive) because the faces of the elements 3D are badly directed.
Handbook of Validation
V2.07 booklet: Harmonic response of the voluminal structures
HI-75/96/005 - Ind A

Code_Aster ®
Version
3
Titrate:
Harmonic SHLV100 Réponse of a hollow roll
Date:
20/09/99
Author (S):
X. DESROCHES
Key:
V2.07.100-C Page:
9/24
8 Results of modeling C
8.1 Values tested
Localization
Sizes
Reference
Aster
% difference
tolerance
U
7.3398 10­3
7.3331 10­3
­ 0.10
10­2
With
v
0.
eps
-
xx
­ 1.
­ 0.9000
+10.00
0.02
yy
1.6685
1.6809
0.74
0.02
zz
0.20055
0.2343
16.83
0.02
xy
0.
0.1016
-
0.02
U
6.78109 10­3
6.7783 10­3
­ 0.04
10­2
C
v
2.80882 10­3
2.8077 10­3
­ 0.04

0.04
xx
­ 0.60921
­ 0.5061
16.92
yy
1.27771
1.3184
3.18
0.04

0.04
zz
0.20055
0.2437
21.51
xy
­ 0.94346
­ 0.9123
3.30
0.04
U
5.19002 10­3
5.1853 10­3
­ 0.09
10­2
E
v
5.19002 10­3
5.1853 10­3
­ 0.09

0.5
xx
0.33425
0.2888
­ 13.60
yy
0.33425
0.4920
47.19
0.5

0.5
zz
0.20055
0.2343
16.83
xy
­ 1.33425
­ 1.2905
3.28
0.5
U
4.6716 10­3
4.6634 10­3
­ 0.18
10­2
B
v
0.
eps
-
xx
0.
0.0146
-
yy
0.66738
0.6570
­ 1.55
5.10­2
zz
0.20021
0.1976
­ 1.30
5.10­2
xy
0.
­ 0.0159
-
5.10­2
U
4.32523 10­3
4.2960 10­3
­ 0.68
10­2
D
v
1.79157 10­3
1.7795 10­3
­ 0.67
xx
0.09774
0.0824
­ 15.69
0.2

0.2
yy
0.56964
0.5809
1.97

0.2
zz
0.20021
0.1921
­ 4.05
xy
­ 0.23595
­ 0.2378
­ 7.84
0.2
U
3.31039 10­3
3.2976 10­3
­ 0.39
10­2
F
v
3.31039 10­3
3.2975 10­3
­ 0.39

0.1
xx
0.33369
0.3052
­ 8.54

0.1
yy
0.33369
0.3371
1.02

0.1
zz
0.20021
0.1921
­ 4.05

0.1
xy
­ 0.33369
­ 0.3358
­ 0.63
8.2 Remarks
One notes a variation (< 0.24%) displacements for the points of the z=0.005 plan.
The grid is insufficient for linear elements.
8.3 Parameters of execution
Version: 3.02
Machine: CRAY C90
System: UNICOS 8.0
Obstruction memory:
8 megawords
Time CPU To use: 18.55 seconds
Handbook of Validation
V2.07 booklet: Harmonic response of the voluminal structures
HI-75/96/005 - Ind A

Code_Aster ®
Version
3
Titrate:
Harmonic SHLV100 Réponse of a hollow roll
Date:
20/09/99
Author (S):
X. DESROCHES
Key:
V2.07.100-C Page:
10/24
9 Modeling D
9.1 Characteristics of modeling
Elements 3D (TETRA10)
along axis Z: 2 layers of elements total thickness: 0.01
Limiting conditions:
DDL_IMPO:
(All:“yes”
Dz: 0. )
face AB
(Group_no:BordAB
Dy: 0. )
face EFF
FACE_IMPO:
(Group_ma:FaceEF
Dnor: 0. )
pressure on face AE
PRES_REP:
(Group_ma:FaceAE
Near: - 1. )
Names of the nodes:
A=No3
B=No7
C=No4
D=No8
E=No1228
F=No230
plan Z = 0.005
A2=No1
B2=No5
C2=No2
D2=No6
E2=No227
F2=No229
plan Z = 0.01
A3=No420
B3=No422
C3=No421
D3=No423
E3=No573
F3=No574
9.2 Characteristics of the grid
A number of nodes: 703
A number of meshs and types: 356 TETRA10 36 TRIA6
9.3 Functionalities tested
Commands
Keys
AFFE_CHAR_MECA
DDL_IMPO
GROUP_NO
[U4.25.01]
FACE_IMPO
GROUP_MA
DNOR
PRES_REP
GROUP_MA
AFFE_MATERIAU
TOUT
[U4.23.02]
AFFE_MODELE
“MECANIQUE”
“3D”
TOUT
[U4.22.01]
COMB_MATR_ASSE
[U4.53.01]
DEFI_MATERIAU
ELAS
[U4.23.01]
CALC_CHAM_ELEM
“SIGM_ELNO_DEPL”
[U4.61.01]
9.4 Remarks
The pressure has a negative sign (instead of positive) because the faces of the elements 3D are badly directed.
Handbook of Validation
V2.07 booklet: Harmonic response of the voluminal structures
HI-75/96/005 - Ind A

Code_Aster ®
Version
3
Titrate:
Harmonic SHLV100 Réponse of a hollow roll
Date:
20/09/99
Author (S):
X. DESROCHES
Key:
V2.07.100-C Page:
11/24
10 Results of modeling D
10.1 Values tested
Localization
Sizes
Reference
Aster
% difference
tolerance
U
7.3398 10­3
7.3522 10­3
0.10
10­2
With
v
0.
eps
-
10­2
xx
­ 1.
­ 0.9925
0.75
5.10­2
yy
1.6685
1.6725
0.24
5.10­2
zz
0.20055
0.2040
­ 1.72
5.10­2
xy
0.
­ 0.0365
-
5.10­2
U
6.78109 10­3
6.7836 10­3
0.04
10­2
C
v
2.80882 10­3
2.8099 10­3
0.04
10­2
xx
­ 0.60921
­ 0.5977
1.89
5.10­2
yy
1.27771
1.294
1.28
5.10­2
zz
0.20055
0.2088
4.11
5.10­2
xy
­ 0.94346
­ 0.9457
­ 0.24
5.10­2
U
5.19002 10­3
5.1988 10­3
0.17
10­2
E
v
5.19002 10­3
5.1988 10­3
0.17
10­2

0.15
xx
0.33425
0.3035
­ 9.20
yy
0.33425
0.3766
12.67
0.15

0.15
zz
0.20055
0.2040
1.72
xy
­ 1.33425
­ 1.332
0.17
0.15
U
4.6716 10­3
4.6711 10­3
­ 0.01
10­2
B
v
0.
eps
-
10­2
xx
0.
8.597 10­4
-
10­2
yy
0.66738
0.6679
0.08
10­2
zz
0.20021
0.2006
0.19
10­2
xy
0.
1.0181 10­3
-
10­2
U
4.32523 10­3
4.3134 10­3
­ 0.28
10­2
D
v
1.79157 10­3
1.7867 10­3
­ 0.28
10­2
xx
0.09774
0.09418
­ 3.64
5.10­2
yy
0.56964
0.5652
­ 0.78
5.10­2
zz
0.20021
0.1978
­ 1.20
5.10­2
xy
­ 0.23595
­ 0.2355
0.19
5.10­2
U
3.31039 10­3
3.3029 10­3
­ 0.23
10­2
F
v
3.31039 10­3
3.3029 10­3
­ 0.23
10­2
xx
0.33369
0.3357
0.60
10­2
yy
0.33369
0.3334
­ 0.09
10­2
zz
0.20021
0.2007
0.24
10­2
xy
­ 0.33369
­ 0.3336
-
10­2
10.2 Remarks
One notes a variation (< 0.23%) displacements for the points of the z=0.005 plan.
10.3 Parameters of execution
Version: 3.02
Machine: CRAY C90
System: UNICOS 8.0
Obstruction memory:
8 megawords
Time CPU To use: 21.05 seconds
Handbook of Validation
V2.07 booklet: Harmonic response of the voluminal structures
HI-75/96/005 - Ind A

Code_Aster ®
Version
3
Titrate:
Harmonic SHLV100 Réponse of a hollow roll
Date:
20/09/99
Author (S):
X. DESROCHES
Key:
V2.07.100-C Page:
12/24
11 Modeling E
11.1 Characteristics of modeling
Elements D_PLAN (TRIA3 + QUAD4)
F
Normally blocked face
y
D
E
C
45°
X
With
B
Face with imposed pressure
Face blocked out of Dy
Limiting conditions:
side AB
DDL_IMPO:
(Group_no:GRNM11
Dy: 0. )
side EFF
FACE_IMPO:
(Group_ma:GRMA12
Dnor: 0. )
pressure on AE
PRES_REP:
(Group_ma:GRMA13
Near: 1. )
Names of the nodes:
A=N1
B=N119
C=N36
D=N166
E=N41
F=N171
11.2 Characteristics of the grid
A number of nodes: 171
A number of meshs and types: 200 TRIA3 50 QUAD4
11.3 Functionalities tested
Commands
Keys
AFFE_CHAR_MECA
DDL_IMPO
GROUP_NO
[U4.25.01]
FACE_IMPO
GROUP_MA
DNOR
PRES_REP
GROUP_MA
AFFE_MATERIAU
TOUT
[U4.23.02]
AFFE_MODELE
“MECANIQUE”
“D_PLAN”
TOUT
[U4.22.01]
COMB_MATR_ASSE
[U4.53.01]
DEFI_MATERIAU
ELAS
[U4.23.01]
CALC_CHAM_ELEM
“SIGM_ELNO_DEPL”
[U4.61.01]
Handbook of Validation
V2.07 booklet: Harmonic response of the voluminal structures
HI-75/96/005 - Ind A

Code_Aster ®
Version
3
Titrate:
Harmonic SHLV100 Réponse of a hollow roll
Date:
20/09/99
Author (S):
X. DESROCHES
Key:
V2.07.100-C Page:
13/24
12 Results of modeling E
12.1 Values tested
Localization
Sizes
Reference
Aster
% difference
tolerance
U
7.3398 10­3
7.3243 10­3
­ 0.21
10­2
With
v
0.
eps
-

0.15
xx
­ 1.
­ 0.8790
12.10
yy
1.6685
1.6241
­ 2.66
0.15

0.15
zz
0.20055
0.2235
11.44

0.15
xy
0.
­ 0.0922
-
U
6.78109 10­3
6.7670 10­3
­ 0.21
10­2
C
v
2.80882 10­3
2.8012 10­3
­ 0.27

0.3
xx
­ 0.60921
­ 0.5122
­ 15.92
yy
1.27771
1.3302
4.11
0.3

0.3
zz
0.20055
0.2454
22.36
xy
­ 0.94346
­ 0.8567
­ 9.19
0.3
U
5.19002 10­3
5.1784 10­3
­ 0.22
10­2
E
v
5.19002 10­3
5.1784 10­3
­ 0.22

0.6
xx
0.33425
0.4318
29.18
yy
0.33425
0.5315
59.01
0.6

0.6
zz
0.20055
0.2890
44.10
xy
­ 1.33425
­ 1.2686
4.92
0.6
U
4.6716 10­3
4.6641 10­3
­ 0.16
10­2
B
v
0.
eps
-
xx
0.
­ 1.3198 10­2
-
0.05

0.05
yy
0.66738
0.6723
0.74

0.05
zz
0.20021
0.1977
­ 1.25
xy
0.
­ 0.0219
-
0.05
U
4.32523 10­3
4.3084 10­3
­ 0.39
10­2
D
v
1.79157 10­3
1.7854 10­3
­ 0.39
xx
0.09774
0.07393
­ 24.36
0.3

0.3
yy
0.56964
0.5728
0.55

0.3
zz
0.20021
0.1940
­ 3.10
xy
­ 0.23595
­ 0.2347
0.53
0.3
U
3.31039 10­3
3.2974 10­3
­ 0.39
10­2
F
v
3.31039 10­3
3.2974 10­3
­ 0.39

0.15
xx
0.33369
0.2976
­ 10.81

0.15
yy
0.33369
0.3245
­ 2.75

0.15
zz
0.20021
0.1866
­ 6.80

0.15
xy
­ 0.33369
­ 0.3415
­ 2.34
12.2 Remarks
The grid is insufficient for linear elements.
12.3 Parameters of execution
Version: 3.02
Machine: CRAY C90
System: UNICOS 8.0
Obstruction memory:
8 megawords
Time CPU To use: 5.87 seconds
Handbook of Validation
V2.07 booklet: Harmonic response of the voluminal structures
HI-75/96/005 - Ind A

Code_Aster ®
Version
3
Titrate:
Harmonic SHLV100 Réponse of a hollow roll
Date:
20/09/99
Author (S):
X. DESROCHES
Key:
V2.07.100-C Page:
14/24
13 Modeling F
13.1 Characteristics of modeling
Elements D_PLAN (QUAD8 + TRIA6)
y
B
D
Face blocked in dx
F
With
Normally blocked face
C
E
45°
Face with imposed pressure
X
Limiting conditions:
side AB
DDL_IMPO:
(Group_no:GRNM11
Dy: 0. )
side EFF
FACE_IMPO:
(Group_ma:GRMA12
Dnor: 0. )
pressure on AE
PRES_REP:
(Group_ma:GRMA13
Near: 1. )
Names of the nodes:
A=N2
B=N361
C=N121
D=N584
E=N155
F=N503
13.2 Characteristics of the grid
A number of nodes: 591
A number of meshs and types: 200 TRIA6 50 QUAD8
13.3 Functionalities tested
Commands
Keys
AFFE_CHAR_MECA
DDL_IMPO
GROUP_NO
[U4.25.01]
FACE_IMPO
GROUP_MA
DNOR
PRES_REP
GROUP_MA
AFFE_MATERIAU
TOUT
[U4.23.02]
AFFE_MODELE
“MECANIQUE”
“D_PLAN”
TOUT
[U4.22.01]
COMB_MATR_ASSE
[U4.53.01]
DEFI_MATERIAU
ELAS
[U4.23.01]
CALC_CHAM_ELEM
“SIGM_ELNO_DEPL”
[U4.61.01]
Handbook of Validation
V2.07 booklet: Harmonic response of the voluminal structures
HI-75/96/005 - Ind A

Code_Aster ®
Version
3
Titrate:
Harmonic SHLV100 Réponse of a hollow roll
Date:
20/09/99
Author (S):
X. DESROCHES
Key:
V2.07.100-C Page:
15/24
14 Results of modeling F
14.1 Values tested
Localization
Sizes
Reference
Aster
% difference
tolerance
U
0.
0.
-
10­2
With
v
7.3398 10­3
7.3326 10­3
­ 0.10
10­2
xx
1.6685
1.6669
0.09
10­2
yy
­ 1.
­ 0.9959
0.41
10­2
zz
0.20055
0.20129
0.37
10­2
xy
0.
0.00332
-
10­2
U
­ 2.80882 10­3
­ 2.8063 10­3
­ 0.09
10­2
C
v
6.78109 10­3
6.7745 10­3
­ 0.10
10­2
xx
1.27771
1.27799
0.02
10­2
yy
­ 0.60921
­ 0.60779
0.23
10­2
zz
0.20055
0.20106
0.25
10­2
xy
0.94346
0.94027
­ 0.34
10­2
U
­ 5.19002 10­3
­ 5.1851 10­3
­ 0.09
10­2
E
v
5.19002 10­3
5.1851 10­3
­ 0.09
10­2
xx
0.33425
0.33462
0.11
10­2
yy
0.33425
0.33403
­ 0.066
10­2
zz
0.20055
0.20059
0.02
10­2
xy
1.33425
1.33117
­ 0.23
10­2
U
0.
eps
-
10­2
B
v
4.6716 10­3
4.6682 10­3
­ 0.07
10­2
xx
0.66738
0.66758
0.03
10­2
yy
0.
0.00033
-
10­2
zz
0.20021
0.20037
0.08
10­2
xy
0.
­ 5.1132 10­4
-
10­2
U
­ 1.79157 10­3
­ 1.7865 10­3
­ 0.28
10­2
D
v
4.32523 10­3
4.3129 10­3
­ 0.28
10­2
xx
0.56964
0.56962
­ 0.003
10­2
yy
0.09774
0.09805
0.32
10­2
zz
0.20021
0.200298
0.044
10­2
xy
0.23595
0.23623
0.12
10­2
U
­ 3.31039 10­3
­ 3.3009 10­3
­ 0.29
10­2
F
v
3.31039 10­3
3.3009 10­3
­ 0.29
10­2
xx
0.33369
0.33371
0.006
10­2
yy
0.33369
0.33366
­ 0.009
10­2
zz
0.20021
0.20021
0.
10­2
xy
0.33369
0.33392
0.069
10­2
14.2 Parameters of execution
Version: 3.02
Machine: CRAY C90
System: UNICOS 8.0
Obstruction memory:
8 megawords
Time CPU To use: 6.05 seconds
Handbook of Validation
V2.07 booklet: Harmonic response of the voluminal structures
HI-75/96/005 - Ind A

Code_Aster ®
Version
3
Titrate:
Harmonic SHLV100 Réponse of a hollow roll
Date:
20/09/99
Author (S):
X. DESROCHES
Key:
V2.07.100-C Page:
16/24
15 Modeling G
15.1 Characteristics of modeling
D_PLAN (QUAD9)
F
Normally blocked face
y
D
E
C
45°
X
With
B
Face with imposed pressure
Face blocked out of Dy
Limiting conditions:
side AB
DDL_IMPO:
(Group_no:GRNM11
Dy: 0. )
side EFF
FACE_IMPO:
(Group_ma:GRMA12
Dnor: 0. )
pressure on AE
PRES_REP:
(Group_ma:GRMA13
Near: 1. )
Names of the nodes:
A=N1
B=N347
C=N21
D=N432
E=N39
F=N229
15.2 Characteristics of the grid
A number of nodes: 441
A number of meshs and types: 100 QUAD9
15.3 Functionalities tested
Commands
Keys
AFFE_CHAR_MECA
DDL_IMPO
GROUP_NO
[U4.25.01]
FACE_IMPO
GROUP_MA
DNOR
PRES_REP
GROUP_MA
AFFE_MATERIAU
TOUT
[U4.23.02]
AFFE_MODELE
“MECANIQUE”
“D_PLAN”
TOUT
[U4.22.01]
COMB_MATR_ASSE
[U4.53.01]
DEFI_MATERIAU
ELAS
[U4.23.01]
CALC_CHAM_ELEM
“SIGM_ELNO_DEPL”
[U4.61.01]
Handbook of Validation
V2.07 booklet: Harmonic response of the voluminal structures
HI-75/96/005 - Ind A

Code_Aster ®
Version
3
Titrate:
Harmonic SHLV100 Réponse of a hollow roll
Date:
20/09/99
Author (S):
X. DESROCHES
Key:
V2.07.100-C Page:
17/24
16 Results of modeling G
16.1 Values tested
Localization
Sizes
Reference
Aster
% difference
tolerance
U
7.3398 10­3
7.3329 10­3
­ 0.09
10­2
With
v
0.
eps
-
10­2
xx
­ 1.
­ 0.9968
0.32
10­2
yy
1.6685
1.6655
­ 0.18
10­2
zz
0.20055
0.20059
0.02
10­2
xy
0.
­ 2.97 10­4
-
10­2
U
6.78109 10­3
6.7747 10­3
­ 0.09
10­2
C
v
2.80882 10­3
2.8062 10­3
­ 0.09
10­2
xx
­ 0.60921
­ 0.60695
0.37
10­2
yy
1.27771
1.27563
­ 0.16
10­2
zz
0.20055
0.20060
0.02
10­2
xy
­ 0.94346
­ 0.94128
­ 0.23
10­2
U
5.19002 10­3
5.1851 10­3
­ 0.09
10­2
E
v
5.19002 10­3
5.1851 10­3
­ 0.09
10­2
xx
0.33425
0.33403
­ 0.06
10­2
yy
0.33425
0.33463
0.11
10­2
zz
0.20055
0.20059
0.02
10­2
xy
­ 1.33425
­ 1.33117
0.23
10­2
U
4.6716 10­3
4.6682 10­3
­ 0.07
10­2
B
v
0.
eps
-
10­2
xx
0.
­ 2.394 10­3
-
10­2
yy
0.66738
0.66759
0.03
10­2
zz
0.20021
0.200207
­ 0.001
10­2
xy
0.
­ 2.65 10­5
-
10­2
U
4.32523 10­3
4.3128 10­3
­ 0.29
10­2
D
v
1.79157 10­3
1.7864 10­3
­ 0.29
10­2
xx
0.09774
0.09756
­ 0.18
10­2
yy
0.56964
0.56979
0.02
10­2
zz
0.20021
0.200206
­ 0.002
10­2
xy
­ 0.23595
­ 0.23611
­ 0.07
10­2
U
3.31039 10­3
3.3009 10­3
­ 0.29
10­2
F
v
3.31039 10­3
3.3009 10­3
­ 0.29
10­2
xx
0.33369
0.33366
­ 0.009
10­2
yy
0.33369
0.33371
0.006
10­2
zz
0.20021
0.20021
0.
10­2
xy
­ 0.33369
­ 0.33392
­ 0.07
10­2
16.2 Parameters of execution
Version: 3.02
Machine: CRAY C90
System: UNICOS 8.0
Obstruction memory:
8 megawords
Time CPU To use: 5.38 seconds
Handbook of Validation
V2.07 booklet: Harmonic response of the voluminal structures
HI-75/96/005 - Ind A

Code_Aster ®
Version
3
Titrate:
Harmonic SHLV100 Réponse of a hollow roll
Date:
20/09/99
Author (S):
X. DESROCHES
Key:
V2.07.100-C Page:
18/24
17 Modeling H
17.1 Characteristics of modeling
Elements axis (TRIA3 + QUAD4)
Center cylinder
Face blocked out of Dy
y
E
F
C
0.01m
D
X
With
B
Face with imposed pressure
Face blocked out of Dy
Limiting conditions:
side AB
DDL_IMPO:
(Group_no:GRNM11
Dy: 0. )
side EFF
FACE_IMPO:
(Group_ma:GRMA12
Dnor: 0. )
pressure on AE
PRES_REP:
(Group_ma:GRMA13
Near: 1. )
Names of the nodes:
A=N111
B=N1
C=N112
D=N3
E=N113
F=N4
17.2 Characteristics of the grid
A number of nodes: 113
A number of meshs and types: 40 QUAD4 80 TRIA3
17.3 Functionalities tested
Commands
Keys
AFFE_CHAR_MECA
DDL_IMPO
GROUP_NO
[U4.25.01]
FACE_IMPO
GROUP_MA
DNOR
PRES_REP
GROUP_MA
AFFE_MATERIAU
TOUT
[U4.23.02]
AFFE_MODELE
“MECANIQUE”
“AXIS”
TOUT
[U4.22.01]
COMB_MATR_ASSE
[U4.53.01]
DEFI_MATERIAU
ELAS
[U4.23.01]
CALC_CHAM_ELEM
“SIGM_ELNO_DEPL”
[U4.61.01]
Handbook of Validation
V2.07 booklet: Harmonic response of the voluminal structures
HI-75/96/005 - Ind A

Code_Aster ®
Version
3
Titrate:
Harmonic SHLV100 Réponse of a hollow roll
Date:
20/09/99
Author (S):
X. DESROCHES
Key:
V2.07.100-C Page:
19/24
18 Results of modeling H
18.1 Values tested
Localization
Sizes
Reference
Aster
% difference
tolerance
U
7.3398 10­3
7.3390 10­3
­ 0.01
10­2
With
v
0.
eps
-

0.2
xx
­ 1.
­ 0.9430
­ 5.72
yy
0.20055
0.2248
12.19
0.2

0.2
zz
1.6685
1.6923
1.46

0.2
xy
0.
eps
-
U
7.3398 10­3
7.3390 10­3
­ 0.01
10­2
C
v
0.
eps
-

0.2
xx
­ 1.
­ 0.9430
­ 5.72
yy
0.20055
0.2248
12.19
0.2

0.2
zz
1.6685
1.6923
1.46
xy
0.
eps
-
0.2
U
7.3398 10­3
7.3390 10­3
­ 0.01
10­2
E
v
0.
0.
-

0.2
xx
­ 1.
­ 0.9430
­ 5.72
yy
0.20055
0.2248
12.19
0.2

0.2
zz
1.6685
1.6923
1.46
xy
0.
eps
-
0.2
U
4.6716 10­3
4.6713 10­3
­ 0.01
10­2
B
v
0.
eps
-
xx
0.
­ 0.0110
-
0.05

0.05
yy
0.20021
0.1954
­ 2.35

0.05
zz
0.66738
0.6625
­ 0.72
xy
0.
­ 0.0011
-
0.05
U
4.6716 10­3
4.6713 10­3
­ 0.01
10­2
D
v
0.
eps
-
xx
0.
­ 0.0110
-
0.05

0.05
yy
0.20021
0.1954
­ 2.35

0.05
zz
0.66738
0.6625
­ 0.72
xy
0.
eps
-
0.05
U
4.6716 10­3
4.6713 10­3
­ 0.01
10­2
F
v
0.
eps
-

0.05
xx
0.
­ 0.0110
-

0.05
yy
0.20021
0.1954
­ 2.35

0.05
zz
0.66738
0.6625
­ 0.72

0.05
xy
0.
+0.0011
-
18.2 Parameters of execution
Version: 3.02
Machine: CRAY C90
System: UNICOS 8.0
Obstruction memory:
8 megawords
Time CPU To use: 5.60 seconds
Handbook of Validation
V2.07 booklet: Harmonic response of the voluminal structures
HI-75/96/005 - Ind A

Code_Aster ®
Version
3
Titrate:
Harmonic SHLV100 Réponse of a hollow roll
Date:
20/09/99
Author (S):
X. DESROCHES
Key:
V2.07.100-C Page:
20/24
19 Modeling I
19.1 Characteristics of modeling
Elements axis (TRIA6 + QUAD8)
Center cylinder
Face blocked out of Dy
y
E
F
0.01m
C
D
X
With
B
Face with imposed pressure
Face blocked out of Dy
Limiting conditions:
side AB
DDL_IMPO:
(Group_no:GRNM11
Dy: 0. )
side EFF
FACE_IMPO:
(Group_ma:GRMA12
Dnor: 0. )
pressure on AE
PRES_REP:
(Group_ma:GRMA13
Near: 1. )
Names of the nodes:
A=N8
B=N174
C=N5
D=N170
E=N3
F=N159
19.2 Characteristics of the grid
A number of nodes: 175
A number of meshs and types: 20 QUAD8 40 TRIA6
19.3 Functionalities tested
Commands
Keys
AFFE_CHAR_MECA
DDL_IMPO
GROUP_NO
[U4.25.01]
FACE_IMPO
GROUP_MA
DNOR
PRES_REP
GROUP_MA
AFFE_MATERIAU
TOUT
[U4.23.02]
AFFE_MODELE
“MECANIQUE”
“AXIS”
TOUT
[U4.22.01]
COMB_MATR_ASSE
[U4.53.01]
DEFI_MATERIAU
ELAS
[U4.23.01]
CALC_CHAM_ELEM
“SIGM_ELNO_DEPL”
[U4.61.01]
Handbook of Validation
V2.07 booklet: Harmonic response of the voluminal structures
HI-75/96/005 - Ind A

Code_Aster ®
Version
3
Titrate:
Harmonic SHLV100 Réponse of a hollow roll
Date:
20/09/99
Author (S):
X. DESROCHES
Key:
V2.07.100-C Page:
21/24
20 Results of modeling I
20.1 Values tested
Localization
Sizes
Reference
Aster
% difference
tolerance
U
7.3398 10­3
7.3397 10­3
­ 0.00
10­2
With
v
0.
eps
-
10­2
xx
­ 1.
­ 0.9984
­ 0.16
10­2
yy
0.20055
0.20055
-
10­2
zz
1.6685
1.669
­ 0.57
10­2
xy
0.
eps
-
10­2
U
7.3398 10­3
7.3397 10­3
­ 0.00
10­2
C
v
0.
eps
-
10­2
xx
­ 1.
­ 0.9984
­ 0.16
10­2
yy
0.20055
0.20055
-
10­2
zz
1.6685
1.669
­ 0.57
10­2
xy
0.
eps
-
10­2
U
7.3398 10­3
7.3397 10­3
­ 0.00
10­2
E
v
0.
eps
-
10­2
xx
­ 1.
­ 0.9984
­ 0.16
10­2
yy
0.20055
0.20055
-
10­2
zz
1.6685
1.669
­ 0.57
10­2
xy
0.
eps
-
10­2
U
4.6716 10­3
4.6716 10­3
0.00
10­2
B
v
0.
eps
-
10­2
xx
0.
3.8 10­4
-
10­2
yy
0.20021
0.2002
-
10­2
zz
0.66738
0.66716 10­5
­ 0.03
10­2
xy
0.
-
10­2
U
4.6716 10­3
4.6716 10­3
0.00
10­2
D
v
0.
eps
-
10­2
xx
0.
3.8 10­4
-
10­2
yy
0.20021
0.2002
-
10­2
zz
0.66738
0.66716
­ 0.03
10­2
xy
0.
eps
-
10­2
U
4.6716 10­3
4.6716 10­3
0.00
10­2
F
v
0.
eps
-
10­2
xx
0.
3.8 10­4
-
10­2
yy
0.20021
0.2002
-
10­2
zz
0.66738
0.66716
­ 0.03
10­2
xy
0.
10­5
-
10­2
20.2 Parameters of execution
Version: 3.02
Machine: CRAY C90
System: UNICOS 8.0
Obstruction memory:
8 megawords
Time CPU To use: 5.06 seconds
Handbook of Validation
V2.07 booklet: Harmonic response of the voluminal structures
HI-75/96/005 - Ind A

Code_Aster ®
Version
3
Titrate:
Harmonic SHLV100 Réponse of a hollow roll
Date:
20/09/99
Author (S):
X. DESROCHES
Key:
V2.07.100-C Page:
22/24
21 Modeling J
21.1 Characteristics of modeling
Elements axis (QUAD9)
Center cylinder
Face blocked out of Dy
y
E
F
0.01m
C
D
X
With
B
Face with imposed pressure
Face blocked out of Dy
Limiting conditions:
side AB
DDL_IMPO:
(Group_no:GRNM11
Dy: 0. )
side EFF
FACE_IMPO:
(Group_ma:GRMA12
Dnor: 0. )
pressure on AE
PRES_REP:
(Group_ma:GRMA13
Near: 1. )
Names of the nodes:
A=N196
B=N1
C=N200
D=N5
E=N202
F=N7
21.2 Characteristics of the grid
A number of nodes: 205
A number of meshs and types: 40 QUAD9
21.3 Functionalities tested
Commands
Keys
AFFE_CHAR_MECA
DDL_IMPO
GROUP_NO
[U4.25.01]
FACE_IMPO
GROUP_MA
DNOR
PRES_REP
GROUP_MA
AFFE_MATERIAU
TOUT
[U4.23.02]
AFFE_MODELE
“MECANIQUE”
“AXIS”
TOUT
[U4.22.01]
COMB_MATR_ASSE
[U4.53.01]
DEFI_MATERIAU
ELAS
[U4.23.01]
CALC_CHAM_ELEM
“SIGM_ELNO_DEPL”
[U4.61.01]
Handbook of Validation
V2.07 booklet: Harmonic response of the voluminal structures
HI-75/96/005 - Ind A

Code_Aster ®
Version
3
Titrate:
Harmonic SHLV100 Réponse of a hollow roll
Date:
20/09/99
Author (S):
X. DESROCHES
Key:
V2.07.100-C Page:
23/24
22 Results of modeling J
22.1 Values tested
Localization
Sizes
Reference
Aster
% difference
tolerance
U
7.3398 10­3
7.3397 10­3
­ 0.00
10­2
With
v
0.
eps
-
10­2
xx
­ 1.
­ 0.9984
+0.16
10­2
yy
0.20055
0.2005
-
10­2
zz
1.6685
1.667
­ 0.57
10­2
xy
0.
eps
-
10­2
U
7.3398 10­3
7.3397 10­3
­ 0.00
10­2
C
v
0.
eps
-
10­2
xx
­ 1.
­ 0.9984
+0.16
10­2
yy
0.20055
0.2005
-
10­2
zz
1.6685
1.667
­ 0.57
10­2
xy
0.
eps
-
10­2
U
7.3398 10­3
7.3397 10­3
­ 0.00
10­2
E
v
0.
eps
-
10­2
xx
­ 1.
­ 0.9984
+0.16
10­2
yy
0.20055
0.2005
-
10­2
zz
1.6685
1.667
­ 0.57
10­2
xy
0.
eps
-
10­2
U
4.6716 10­3
4.6716 10­3
0.00
10­2
B
v
0.
eps
-
10­2
xx
0.
1.1 10­4
-
10­2
yy
0.20021
0.20021
-
10­2
zz
0.66738
0.66727
­ 0.04
10­2
xy
0.
eps
-
10­2
U
4.6716 10­3
4.6716 10­3
0.00
10­2
D
v
0.
eps
-
10­2
xx
0.
1.1 10­4
-
10­2
yy
0.20021
0.20021
-
10­2
zz
0.66738
0.66727
­ 0.04
10­2
xy
0.
eps
-
10­2
U
4.6716 10­3
4.6716 10­3
0.00
10­2
F
v
0.
eps
-
10­2
xx
0.
1.1 10­4
-
10­2
yy
0.20021
0.20021
0.02
10­2
zz
0.66738
0.66727
­ 0.04
10­2
xy
0.
eps
-
10­2
22.2 Parameters of execution
Version: 3.02
Machine: CRAY C90
System: UNICOS 8.0
Obstruction memory:
8 megawords
Time CPU To use: 4.84 seconds
Handbook of Validation
V2.07 booklet: Harmonic response of the voluminal structures
HI-75/96/005 - Ind A

Code_Aster ®
Version
3
Titrate:
Harmonic SHLV100 Réponse of a hollow roll
Date:
20/09/99
Author (S):
X. DESROCHES
Key:
V2.07.100-C Page:
24/24
23 Summary of the results
Summary
3D
D_PLAN
Axis
errors
max in %
MOD A
MOD B
MOD C
MOD D
MOD E
MOD F
MOD G
MOD H
MOD I
MOD J
Displacements
WITH, C, E
­ 0.27
­ 0.10
­ 0.10
0.17
­ 0.27
­ 0.10
­ 0.09
­ 0.01
0.00
­ 0.00
B, D, F
­ 0.39
­ 0.02
­ 0.68
­ 0.28
­ 0.39
­ 0.29
­ 0.29
­ 0.01
0.00
­ 0.00
Constraints
xx
WITH, C, E
29.23
0.10
16.92
­ 9.20
29.18
0.11
0.37
5.72
0.27
0.27
B, D, F
­ 24.39
0.02
­ 15.69
­ 3.64
­ 24.36
0.03
­ 0.18
-
-
-
Constraints
yy
WITH, C, E
59.04
0.41
47.19
12.67
59.01
0.41
­ 0.18
12.19
0.09
0.09
B, D, F
2.75
0.30
1.97
­ 0.78
­ 2.75
0.32
0.03
­ 2.35
0.09
0.02
Constraints
zz
WITH, C, E
44.50
0.37
21.51
4.11
44.10
0.37
0.02
1.46
0.57
0.57
B, D, F
­ 6.80
0.04
­ 4.05
­ 1.20
­ 6.80
0.08
­ 0.001
­ 0.72
0.03
0.04
Constraints
xy
WITH, C, E
9.20
0.34
3.30
­ 0.24
­ 9.19
­ 0.34
0.23
-
-
-
B, D, F
­ 2.34
0.12
­ 7.84
0.19
­ 2.34
0.12
­ 0.07
-
-
-
· The grids for the elements of command 1 are not fine enough.
· The results are more precise with elements of command 2.
· The problem is adapted more to an axisymmetric modeling (H, I, J) - > better results.
· Results of the elements 3D and the plane elements having spaces of interpolation in
correspondence are identical.
· The results of axisymmetric elements QUAD8 and QUAD9 are identical.
Handbook of Validation
V2.07 booklet: Harmonic response of the voluminal structures
HI-75/96/005 - Ind A