Stability of augmented staggered method for electromagnetic and structural coupled problem

Author

Tanaka, Yoshikazu ; Horie, Tomoyoshi ; Niho, Tomoya ; Shintaku, Eiji ; Fujimoto, Yukio

Author_Institution

Dept. of Social & Environ. Eng., Hiroshima Univ., Japan

Volume

40

Issue

2

fYear

2004

fDate

3/1/2004 12:00:00 AM

Firstpage

549

Lastpage

552

Abstract

Numerical instability occurs in analyses of an electromagnetic and structural coupled problem or a magnetic damping problem when the matrix equations of structure and eddy current are solved alternately. In this paper, an augmented staggered method is proposed for the coupled analysis. The stability of this method is demonstrated for the magnetically damped vibration by finite element analyses. According to the characteristic equation obtained from the recurrence relation of this time integration scheme, it is confirmed that this method is unconditionally stable for the intensity of magnetic field and the size of time increment.

Keywords

damping; eddy currents; electromagnetic coupling; finite element analysis; magnetic fields; numerical stability; augmented staggered method; eddy current; electromagnetic coupled problem; finite element analysis; magnetic damping problem; magnetic field intensity; matrix equations; numerical instability; stability analysis; structural coupled problem; Costs; Damping; Difference equations; Eddy currents; Electromagnetic analysis; Electromagnetic coupling; Finite element methods; Magnetic analysis; Magnetic fields; Stability analysis;

fLanguage

English

Journal_Title

Magnetics, IEEE Transactions on

Publisher

ieee

ISSN

0018-9464

Type

jour

DOI

10.1109/TMAG.2004.825021

Filename

1284473