Code_Aster
®
Version
7.4
Titrate:
Modeling
AXIS_FOURIER
mechanics
Date:
01/06/05
Author (S):
X. DESROCHES, F. LEBOUVIER
Key
:
U3.13.02-F
Page
:
1/4
Instruction manual
U3.13 booklet: Mechanical finite elements 2D
HT-66/05/004/A
Organization (S):
EDF-R & D/AMA, DeltaCAD
Instruction manual
U3.13 booklet: Mechanical finite elements 2D
Document: U3.13.02
Modeling
AXIS_FOURIER
mechanics
Summary:
This document describes for modeling
AXIS_FOURIER
mechanics:
·
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
(Phenomenon:
MECHANICS
) corresponds to finite elements of which meshs
supports are plane and make it possible to modelize 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.
Code_Aster
®
Version
7.4
Titrate:
Modeling
AXIS_FOURIER
mechanics
Date:
01/06/05
Author (S):
X. DESROCHES, F. LEBOUVIER
Key
:
U3.13.02-F
Page
:
2/4
Instruction manual
U3.13 booklet: Mechanical finite elements 2D
HT-66/05/004/A
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
DX (R)
DY (Z)
DZ (
)
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 mesh 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
Code_Aster
®
Version
7.4
Titrate:
Modeling
AXIS_FOURIER
mechanics
Date:
01/06/05
Author (S):
X. DESROCHES, F. LEBOUVIER
Key
:
U3.13.02-F
Page
:
3/4
Instruction manual
U3.13 booklet: Mechanical finite elements 2D
HT-66/05/004/A
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.
·
“GRAVITY”
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 rotational 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.
Code_Aster
®
Version
7.4
Titrate:
Modeling
AXIS_FOURIER
mechanics
Date:
01/06/05
Author (S):
X. DESROCHES, F. LEBOUVIER
Key
:
U3.13.02-F
Page
:
4/4
Instruction manual
U3.13 booklet: Mechanical finite elements 2D
HT-66/05/004/A
Intentionally white left page.