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