Code_Aster ®
Version
6.4
Titrate:
SSLV301 - Cylindrical Poutre comforts under load linearly distributed Date
:
17/06/03
Author (S):
X. DESROCHES Key
:
V3.04.301-A Page:
1/6
Organization (S): EDF-R & D/AMA
Handbook of Validation
V3.04 booklet: Linear statics of the voluminal systems
Document: V3.04.301
SSLV301 - Cylindrical Poutre comforts under load
linearly distributed
Summary:
The goal of the test is to validate a load linearly distributed, starting from an analysis 2D with decomposition in
Fourier series of the load.
2 calculations here are carried out:
· a calculation with the first 2 modes (0 and 1),
· a calculation with the first 10 modes.
Handbook of Validation
V3.04 booklet: Linear statics of the voluminal systems
HT-66/03/008/A
Code_Aster ®
Version
6.4
Titrate:
SSLV301 - Cylindrical Poutre comforts under load linearly distributed Date
:
17/06/03
Author (S):
X. DESROCHES Key
:
V3.04.301-A Page:
2/6
1
Problem of reference
1.1 Geometry
C
Length
: L
= 0.240 m
Radius
: R
= 0.006 m
1.2
Material properties
E = 2.1 X 1011 NR/m2
= 0.3
1.3
Boundary conditions and loadings
· Embedded edge AB
· Load varying linearly according to Z on generator BC, being worth:
Q = 0 out of C and Q = 3000 NR/m out of B
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:
SSLV301 - Cylindrical Poutre comforts under load linearly distributed Date
:
17/06/03
Author (S):
X. DESROCHES Key
:
V3.04.301-A Page:
3/6
2
Reference solution
2.1
Method of calculation used for the reference solution
The reference solution is obtained analytically [bib1].
2.2
Results of reference
· Radial displacement of the point C: urc = 1.552 X 103 m
· Constraints of embedding at point b: zz (B) = 169.8 X 106 Pa
2.3
Uncertainty on the solution
Analytical solution.
2.4 Reference
bibliographical
[1]
S. TIMOSHENKO: Resistance of materials, 1ère left. Polytechnic bookstore
CH. Béranger, Paris, 1947
Handbook of Validation
V3.04 booklet: Linear statics of the voluminal systems
HT-66/03/008/A
Code_Aster ®
Version
6.4
Titrate:
SSLV301 - Cylindrical Poutre comforts under load linearly distributed Date
:
17/06/03
Author (S):
X. DESROCHES Key
:
V3.04.301-A Page:
4/6
3 Modeling
With
3.1
Characteristics of modeling
AXIS_FOURIER, T6 mesh
Cutting: 80 elements according to the length
2 elements in the thickness
Z
D
C
B
R
With
3.2
Characteristics of the grid
A number of nodes: 805
A number of meshs and types: 320 TRIA6
3.3 Functionalities
tested
Commands
“MECHANICAL” AFFE_MODELE “AXIS_FOURIER”
TOUT
AFFE_CHAR_MECA DDL_IMPO
GROUP_NO
AFFE_CHAR_MECA_F FORCE_CONTOUR
GROUP_MA
COMB_FOURIER NOM_CHAM
“DEPL”
“SIGM_ELNO_DEPL”
CREA_CHAMP “EXTR”
Handbook of Validation
V3.04 booklet: Linear statics of the voluminal systems
HT-66/03/008/A
Code_Aster ®
Version
6.4
Titrate:
SSLV301 - Cylindrical Poutre comforts under load linearly distributed Date
:
17/06/03
Author (S):
X. DESROCHES Key
:
V3.04.301-A Page:
5/6
4
Results of modeling A
4.1 Values
tested
Values provided for = 0.
Standard localization
of
value
Reference
Aster
% difference
Calculation 1 (2 modes)
Not C
ur (m)
1.552 X 103
1.54839 X 103 0.232
Not B
zz (Pa)
169.8 X 106
168.73 X 106 0.63
Calculation 2 (10 modes)
Not C
ur (m)
1.552 X 103
1.54839 X 103 0.232
Not B
zz (Pa)
169.8 X 106
168.59 X 106 0.71
4.2 Notice
The values of the arrow of the beam and the constraint of embedding are obtained with precision
with the first two modes only.
Handbook of Validation
V3.04 booklet: Linear statics of the voluminal systems
HT-66/03/008/A
Code_Aster ®
Version
6.4
Titrate:
SSLV301 - Cylindrical Poutre comforts under load linearly distributed Date
:
17/06/03
Author (S):
X. DESROCHES Key
:
V3.04.301-A Page:
6/6
5
Summary of the results
The results resulting from calculation are in concord with the analytical solution.
Handbook of Validation
V3.04 booklet: Linear statics of the voluminal systems
HT-66/03/008/A
Outline document