Simulation of a coupled magneto mechanical system through the sliding mesh mortar element method

Description

SIMULATION OF A COUPLED MAGNETO-MECHANICAL SYSTEM THROUGH THE SLIDING-MESH MORTAR ELEMENT METHOD F. Rapetti 1;2 , A. Bua 3 , F. Bouillault 2 , Y. Maday 1;4 1 ASCI - UPR 9029 CNRS, Universite Paris XI, Building 506, 91403 Orsay edex, Fr 2 LGEP - UMR 8507 CNRS, Supele , Paris VI and XI Univ., Plateau de Moulon, 91192 Gif-Sur-Yvette edex, Fr 3 Dipartimento di Matemati a, Universita degli Studi di Pavia, Via Ferrata 1, 27100 Pavia, It 4 Laboratoire d'Analyse Numerique, Universite Paris VI, 4 pla e Jussieu, 75252 Paris edex 05, Fr Abstra t This paper presents and analyses a method for the simulation of the dynami al behaviour of a ou- pled magneto-me hani al system su h as a dumping ma hine. We onsider a two dimensional model based on the transverse magneti formulation of the eddy urrents problem for the ele tromagneti part and on the motion equation of a rotating rigid body for the me hani al part. The magneti system is dis retized in spa e by means of Lagrangian nite elements and the sliding mesh mortar method is used for a ounting the rotation. In time, a one step Euler method is used, impli it for the magneti and velo ity equations and expli it for the rotation angle equation.

• unknown magneti


• ?0 rotor


• rotation angle


• rotor


• system


• urrents density


• ed urrents


• magneti indu


• global magneti


• system requires

Sujets

• System

Informations

• Publié par: pefav
• Nombre de lectures: 7
• Langue: English

Extrait

t,
SIMULA
v
TION
p
OF
algorithm
A

COUPLED
are
MA
example,
GNETO-MECHANICAL
equation
SYSTEM
to
THR
force
OUGH
elemen
THE
mesh
SLIDING-MESH
it
MOR
whic
T
step,
AR
for
ELEMENT
osition
METHOD
o
F.
or
Rap
b
etti
et
1
e
;
the
2
emen
,
o
A.
mortar
Bua
of
3
h
,

F.
solution
Bouillault
is
2

,
free
Y.
In
Mada

y
the
1
the
;
assen
4
la
1
elemen
ASCI

-
,
UPR
oid
9029
ork
CNRS,
that
Univ
remark
ersit
the

if
e
a
P
sliding
aris
the
XI,
erlapping
Building
a
506,
solid
91403
and
Orsa
its
y
is

at
F
obtained
r
to
2

LGEP
the
-
of
UMR
a
8507
naturally
CNRS,
hed
Sup
a
elec,
the
P
enough
aris
not
VI
from
and
it
XI
to
Univ.,
of
Plateau
is
de
,
Moulon,
the
91192
magnetic
Gif-Sur-Yv
sliding
ette
the

ulation
F
prop
r
(see
3
details
Dipartimen
T
to
a
di
equations,

ariables:
Univ
their
ersit
with
a
the
degli
Lagrangian
Studi
a
di
throughout
P
this
a
the
via,
generated
Via
that
F
des
errata
at
1,
e
27100
mo
P
a
a

via,
e
It

4
w
Lab
the
oratoire
stands
d'Analyse
rotor,
Numerique,
rotate
Univ
axis.
ersit
e

on
e
pro
P
h
aris
magnetic
VI,
the
4
inserted
place

Jussieu,

75252
The
P
osed
aris
ving

next
05,
magnetic
F

r


pro
This
when
pap
has
er
equilibrium
presen
onding
ts
magnetic
and
mo
analyses
step
a
e
metho
that
d
do
for
hange
the
uc
sim
step
ulation
one.
of
not
the
pro


b
v
eha
the
viour

of
(see
a
et

The
pled
obtained

Loren

and
system
is

applying
h
mortar
as
strategy
a
v
dumping
tial

the
hine.
problem,
W
in
e
,

et
a
for
t
the
w
metho
o
a
dimensional

mo
v
del
in
based
e
on
Lagrangian
the
problem
transv
ed
erse
wn
magnetic
one
form
stator
ulation
rotating
of
W
the
in
eddy
h,

des
ts

problem
material
for
mo
the
Due

ev
part
stator
and
meshes
on
b
the

motion
a
equation
t
of
of
a
on
rotating
terface
rigid
initial
b
not
o

dy
part
for
ed.
the
d

non-o


part.
1
The
w
magnetic
study
system
system
is
osed
discretized
t
in
o
space
parts:
b
stator,
y
h
means
still,
of
the
Lagrangian
whic
nite

elemen
around
ts
rotation
and
The
the
w
sliding

mesh
based
mortar
an
metho

d

is

used
time
for
the

force
ting
from
the
eld
rotation.
is
In
in
time,
the
a

one
to
step
the
Euler
t.
metho
latter
d
imp
is
to
used,
mo
implicit
part
for
the
the
step
magnetic
the
and
eld
v
In
elo
of

friction
y

equations
the
and

explicit
ends
for
the
the
part
rotation
reac
angle
its
equation.
p
The


to
dieren
zero
tial
torque.
system
this
is
del,
solv
time
ed
has
with
b
an
small
explicit
so
iterativ
the
e
force
pro
es


In
to
tro
m

h
In
one
a
to

next

If

is
system,
the
the
a
forces

due

to
k
the

magnetic
ergence
eld
either
mak
force
e
the
the
t
free


V
mo
t
v
al.
e
1991).
and
magnetic
the
is
resulting
from
v
generalized
ariation
tz
in
w
the
the

eld


mo
y
dies
the
the
mesh
distribution
nite
of
t
the
to
magnetic
magnetic
eld
ector
and
oten

form
tly
of
of
eddy
the
ts

as
forces.
osed
Therefore,
Bua
the
al.
in
1999

Bernardi
b
al.
et
1994
w
more
een
on
magnetic
mortar
and
t

d).
han-
o
ical
v
phenomena
the

of
b

e
ectiv
sim
term
ulated
the
indep
w
enden
w
tly
in
(see
v
also
the
Gaspalou
equations
et
solv
al.
in
,
o
1995).
frames,
The
are
mo
xed
deling
the
of
and
this
other

with
system
rotor.
requires
e
to
that
tak
a
e

sim
the
ultaneously
no
in
alw
to
ys

with
t
same
the
particles

the
and
v

t.

to
equations.
feature,
T
en
o
the

and
out
rotor

ha
h
e
a
een

in
it
h
is
w

y
to
the

w
the
sets
global
no
magnetic
lying
force
the
acting
in
on

the
the
mo

ving

part
b
of
the
the
when
system,
rotor
through
has
the
v
n
The
umerical
metho
ev
is
aluation

of
v
the
domain
magnetic
osition