Code_Aster
®
Version
6.4
Titrate:
SSLV306 - Beam 3D in imposed displacements
Date
:
17/06/03
Author (S):
X. DESROCHES
Key
:
V3.04.306-A
Page:
1/6
Manual of Validation
V3.04 booklet: Linear statics of the voluminal systems
HT-66/03/008/A
Organization (S):
EDF-R & D/AMA
Manual of Validation
V3.04 booklet: Linear statics of the voluminal systems
Document: V3.04.306
SSLV306 - Beam 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, modelizing a bending strain.
Code_Aster
®
Version
6.4
Titrate:
SSLV306 - Beam 3D in imposed displacements
Date
:
17/06/03
Author (S):
X. DESROCHES
Key
:
V3.04.306-A
Page:
2/6
Manual of Validation
V3.04 booklet: Linear statics of the voluminal systems
HT-66/03/008/A
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 10
4
m
4
1.2
Material properties
E = 2.1 X 10
11
AP
= 0.3
1.3
Boundary conditions and loadings
·
Embedding of section ABCD
·
Displacement imposed on face EFGH:
- constant
v
O
in the direction y, v
O
= 0.952 X 10
5
m
-
varying according to the position there point of the section, and being worth:
U
O
= there
O,
O = 0.714 X 10
5
radians
1.4 Conditions
initial
Without object for the static analysis.
Code_Aster
®
Version
6.4
Titrate:
SSLV306 - Beam 3D in imposed displacements
Date
:
17/06/03
Author (S):
X. DESROCHES
Key
:
V3.04.306-A
Page:
3/6
Manual of Validation
V3.04 booklet: Linear statics of the voluminal systems
HT-66/03/008/A
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:
NR
v
L
I.E.(internal excitation)
F
O
100
3
3
=
=
O represents the rotation of section EFGH:
O =
I.E.(internal excitation)
FL
2
2
The bending stress
xx
with embedding is worth then:
(
)
y
I
FL
ABCD
xx
/
±
=
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.
Code_Aster
®
Version
6.4
Titrate:
SSLV306 - Beam 3D in imposed displacements
Date
:
17/06/03
Author (S):
X. DESROCHES
Key
:
V3.04.306-A
Page:
4/6
Manual of Validation
V3.04 booklet: Linear statics of the voluminal systems
HT-66/03/008/A
3 Modeling
With
3.1
Characteristics of modeling
3D, H20 meshs
Loading by displacements imposed on face EFGH:
·
DY: 0.952 X 10
5
·
DX: function of
y
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 mesh
A number of nodes: 621
A number of meshs and types: 80 HEXA20
3.3 Functionalities
tested
Controls
“MECHANICAL” AFFE_MODELE “3D”
ALL
AFFE_CHAR_MECA DDL_IMPO
GROUP_NO
AFFE_CHAR_MECA_F FACE_IMPO
GROUP_MA
CALC_CHAM_ELEM OPTION
“SIGM_ELNO_DEPL”
X, U
E
F
H
G
Z, W
D
y, v
C
B
Code_Aster
®
Version
6.4
Titrate:
SSLV306 - Beam 3D in imposed displacements
Date
:
17/06/03
Author (S):
X. DESROCHES
Key
:
V3.04.306-A
Page:
5/6
Manual of Validation
V3.04 booklet: Linear statics of the voluminal systems
HT-66/03/008/A
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 10
6
9.52 X 10
6
0
Points E, F
U (m)
7.14 X 10
7
7.14 X 10
7
0.
Points G, H
U (m)
7.14 X 10
7
7.14 X 10
7
0.
Points A, B
xx
(AP)
1.5 X 10
5
1.64 X 10
5
9.5
Points C, D
xx
(AP)
1.5 X 10
5
1.64 X 10
5
9.5
Code_Aster
®
Version
6.4
Titrate:
SSLV306 - Beam 3D in imposed displacements
Date
:
17/06/03
Author (S):
X. DESROCHES
Key
:
V3.04.306-A
Page:
6/6
Manual of Validation
V3.04 booklet: Linear statics of the voluminal systems
HT-66/03/008/A
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
bending.