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

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