Code_Aster ®
Version
6.4
Titrate:
SSLV306 - Poutre 3D in imposed displacements
Date
:
17/06/03
Author (S):
X. DESROCHES Key
:
V3.04.306-A Page:
1/6
Organization (S): EDF-R & D/AMA
Handbook of Validation
V3.04 booklet: Linear statics of the voluminal systems
Document: V3.04.306
SSLV306 - Poutre 3D in imposed displacements
Summary:
The purpose of the test is to validate the displacements imposed on faces (FACE_IMPO), their values being variable
in space. These values are imposed at the end of a beam 3D, modelling a bending strain.
Handbook of Validation
V3.04 booklet: Linear statics of the voluminal systems
HT-66/03/008/A
Code_Aster ®
Version
6.4
Titrate:
SSLV306 - Poutre 3D in imposed displacements
Date
:
17/06/03
Author (S):
X. DESROCHES Key
:
V3.04.306-A Page:
2/6
1
Problem of reference
1.1 Geometry
Length
: L
= 2 m
Square section, on side
: has
= 0.2 m
Moment of inertia
: I
= 1.333 X 104 m4
1.2
Material properties
E = 2.1 X 1011 Pa
= 0.3
1.3
Boundary conditions and loadings
· Embedding of section ABCD
· Displacement imposed on face EFGH:
- constant
vo in the direction y, vo = 0.952 X 105 m
-
varying according to the position there point of the section, and being worth:
uo = there O, O = 0.714 X 105 radians
1.4 Conditions
initial
Without object for the static analysis.
Handbook of Validation
V3.04 booklet: Linear statics of the voluminal systems
HT-66/03/008/A
Code_Aster ®
Version
6.4
Titrate:
SSLV306 - Poutre 3D in imposed displacements
Date
:
17/06/03
Author (S):
X. DESROCHES Key
:
V3.04.306-A Page:
3/6
2
Reference solution
2.1
Method of calculation used for the reference solution
The displacements imposed equivalent on a force applied at the end of resultant:
3EI
F =
v =
NR
O
100
L3
O represents the rotation of section EFGH:
FL2
O =
2EI
The bending stress xx with embedding is worth then:
(
)
FL
ABCD
xx
= ±
I/y
2.2
Results of reference
· Displacement v of the points E, F, G, H
· Bending stresses xx at the points A, B, C, D
2.3
Uncertainty on the solution
Analytical solution.
Handbook of Validation
V3.04 booklet: Linear statics of the voluminal systems
HT-66/03/008/A
Code_Aster ®
Version
6.4
Titrate:
SSLV306 - Poutre 3D in imposed displacements
Date
:
17/06/03
Author (S):
X. DESROCHES Key
:
V3.04.306-A Page:
4/6
3 Modeling
With
3.1
Characteristics of modeling
3D, H20 meshs
y, v
Z, W
D
C
B
H
G
E
F
X, U
Loading by displacements imposed on face EFGH:
· DY: 0.952 X 105
· DX: function of there defined in 2 points: F (0) = 0
F (0,1) = - 0.0714E-5
Cutting:
· 20 elements according to the length
· 2 elements according to the width and the thickness
3.2
Characteristics of the grid
A number of nodes: 621
A number of meshs and types: 80 HEXA20
3.3 Functionalities
tested
Commands
“MECHANICAL” AFFE_MODELE “3D”
TOUT
AFFE_CHAR_MECA DDL_IMPO
GROUP_NO
AFFE_CHAR_MECA_F FACE_IMPO
GROUP_MA
CALC_CHAM_ELEM OPTION
“SIGM_ELNO_DEPL”
Handbook of Validation
V3.04 booklet: Linear statics of the voluminal systems
HT-66/03/008/A
Code_Aster ®
Version
6.4
Titrate:
SSLV306 - Poutre 3D in imposed displacements
Date
:
17/06/03
Author (S):
X. DESROCHES Key
:
V3.04.306-A Page:
5/6
4
Results of modeling A
4.1 Values
tested
Standard localization
of
value
Reference
Aster
% difference
Points E, F, G, H
v (m)
9.52 X 106
9.52 X 106 0
Points E, F
U (m)
7.14 X 107
7.14 X 107 0.
Points G, H
U (m)
7.14 X 107
7.14 X 107 0.
Points A, B
xx (Pa)
1.5 X 105
1.64 X 105 9.5
Points C, D
xx (Pa)
1.5 X 105
1.64 X 105 9.5
Handbook of Validation
V3.04 booklet: Linear statics of the voluminal systems
HT-66/03/008/A
Code_Aster ®
Version
6.4
Titrate:
SSLV306 - Poutre 3D in imposed displacements
Date
:
17/06/03
Author (S):
X. DESROCHES Key
:
V3.04.306-A Page:
6/6
5
Summary of the results
The functionality “displacements imposed function” provides the awaited results; values of
stress bending are satisfactory, given that the dealt with problem is a problem of
inflection.
Handbook of Validation
V3.04 booklet: Linear statics of the voluminal systems
HT-66/03/008/A
Outline document