Code_Aster ®
Version
7.4
Titrate:
Mechanical modeling AXIS_FOURIER
Date:
01/06/05
Author (S):
X. DESROCHES, F. LEBOUVIER Key
:
U3.13.02-F Page
: 1/4
Organization (S): EDF-R & D/AMA, DeltaCAD
Handbook of Utilization
U3.13 booklet: Mechanical finite elements 2D
Document: U3.13.02
Mechanical modeling AXIS_FOURIER
Summary:
This document describes for mechanical modeling AXIS_FOURIER:
· degrees of freedom carried by the finite elements which support modeling,
· the related meshs supports,
· supported loadings,
· nonlinear possibilities,
· case-tests implementing modeling.
Modeling AXIS_FOURIER (Phénomène: MECANIQUE) corresponds to finite elements of which meshs
supports are plane and make it possible to model the longitudinal section of parts of revolution around the axis
OY, (in co-ordinates cylindrical (R, Z,)) and subjected to loadings of which the space distribution
break up into Fourier series around this axis.
Handbook of Utilization
U3.13 booklet: Mechanical finite elements 2D
HT-66/05/004/A
Code_Aster ®
Version
7.4
Titrate:
Mechanical modeling AXIS_FOURIER
Date:
01/06/05
Author (S):
X. DESROCHES, F. LEBOUVIER Key
:
U3.13.02-F Page
: 2/4
1 Discretization
1.1
Degrees of freedom
Modeling
Degrees of freedom
(with each node node)
AXIS_FOURIER
DX: corresponds to radial displacement
DY: corresponds to longitudinal displacement
DZ: corresponds to ortho-radial displacement
DY (Z)
DZ ()
DX (R)
1.2
Net support of the matrices of rigidity
Modeling Nets Interpolation
Remarks
AXIS_FOURIER TRIA3
Linear
QUAD4
Bilinear
TRIA6
Quadratic
QUAD8
Serendip
QUAD9
Biquadratic
1.3
Net support of the loadings
The grid must be carried out in the half-plane (X>0, Y).
Modeling Nets Interpolation
Remarks
AXIS_FOURIER SEG2
Linear or
Bilinear
SEG3
Quadratic,
Serendip or
Biquadratic
Handbook of Utilization
U3.13 booklet: Mechanical finite elements 2D
HT-66/05/004/A
Code_Aster ®
Version
7.4
Titrate:
Mechanical modeling AXIS_FOURIER
Date:
01/06/05
Author (S):
X. DESROCHES, F. LEBOUVIER Key
:
U3.13.02-F Page
: 3/4
2 Loadings
supported
The loadings available are as follows:
· “FORCE_CONTOUR”
Allows to apply linear forces at the edge of a field 2D.
· “FORCE_INTERN”
Allows to apply voluminal forces.
· “PESANTEUR”
Allows to apply a loading of the gravity type.
· “PRES_REP”
Allows to apply a pressure to a field of continuous medium.
· “ROTATION”
Allows to define a disk speed and the direction of the vector of rotation.
· “TEMP_CALCULEE”
Allows to apply a thermal loading.
3 Possibilities
non-linear
No non-linear possibility exists, this modeling can be used only with
MECA_STATIQUE or by a manual assembly.
4
Examples of implementation: case-tests
· Linear statics
HSLV304A [V7.14.304]: Analyze static of a cylinder subjected to a thermal loading
decomposable in 2 harmonics.
SSLV303A [V3.04.303]: analyze static of a cylinder embedded under its actual and subjected weight
with an internal pressure.
SSLV139A [V3.04.139]: Buckling of a circular plate subjected to a compressive force
uniformly distributed on its contour.
Handbook of Utilization
U3.13 booklet: Mechanical finite elements 2D
HT-66/05/004/A
Code_Aster ®
Version
7.4
Titrate:
Mechanical modeling AXIS_FOURIER
Date:
01/06/05
Author (S):
X. DESROCHES, F. LEBOUVIER Key
:
U3.13.02-F Page
: 4/4
Intentionally white left page.
Handbook of Utilization
U3.13 booklet: Mechanical finite elements 2D
HT-66/05/004/A
Outline document