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Finite elements solutions to magnetostriction. - II. Transient and non-linear modelling

Weston, Richard LU and Cedell, Tord LU (1998) In Finite Elements in Analysis and Design 30(3). p.197-204
Abstract
This paper deals with transient finite elements modeling of magnetostriction. At first, a linear model is developed, which is verified by comparing the fourier transform of the step-response of the dynamical model to the, numerically differentiated, frequency response of the system. Then a non-linear relative permeability is assumed and at last, periodical collisions with a rigid wall are simulated. The time-integration method was chosen instead of the Newmark method, which is an unconditionally stable method. Further, the method is non-self starting, since the displacement accelerations are unknown initially. These are calculated from the Euler method, giving sufficient information to solve all unknowns in the dynamical simulations.
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author
organization
publishing date
type
Contribution to journal
publication status
published
subject
in
Finite Elements in Analysis and Design
volume
30
issue
3
pages
197 - 204
publisher
Elsevier
external identifiers
  • scopus:0032140561
ISSN
1872-6925
DOI
10.1016/S0168-874X(98)00011-0
language
English
LU publication?
yes
id
088922ab-78c4-4bd0-a806-03a470916a0c (old id 1513092)
date added to LUP
2009-12-22 09:48:11
date last changed
2017-01-01 05:07:43
@article{088922ab-78c4-4bd0-a806-03a470916a0c,
  abstract     = {This paper deals with transient finite elements modeling of magnetostriction. At first, a linear model is developed, which is verified by comparing the fourier transform of the step-response of the dynamical model to the, numerically differentiated, frequency response of the system. Then a non-linear relative permeability is assumed and at last, periodical collisions with a rigid wall are simulated. The time-integration method was chosen instead of the Newmark method, which is an unconditionally stable method. Further, the method is non-self starting, since the displacement accelerations are unknown initially. These are calculated from the Euler method, giving sufficient information to solve all unknowns in the dynamical simulations.},
  author       = {Weston, Richard and Cedell, Tord},
  issn         = {1872-6925},
  language     = {eng},
  number       = {3},
  pages        = {197--204},
  publisher    = {Elsevier},
  series       = {Finite Elements in Analysis and Design},
  title        = {Finite elements solutions to magnetostriction. - II. Transient and non-linear modelling},
  url          = {http://dx.doi.org/10.1016/S0168-874X(98)00011-0},
  volume       = {30},
  year         = {1998},
}