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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
and
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
2016-04-01 12:25:15
date last changed
2022-01-27 03:27:32
@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}},
  doi          = {{10.1016/S0168-874X(98)00011-0}},
  volume       = {{30}},
  year         = {{1998}},
}