Inverse nonlinear finite element problems with local and global constraints

Author

Istfan, B. ; Salon, S.J.

Author_Institution

Rensselaer Polytech. Inst., Troy, NY, USA

Volume

24

Issue

6

fYear

1988

fDate

11/1/1988 12:00:00 AM

Firstpage

2568

Lastpage

2572

Abstract

A general one-step method for solving inverse finite-element (FE) field problems is described. Several inverse types are presented, indicating for each which parameters of the problem are specified and which remain to be determined. Mathematical steps are outlined, taking into account nonlinear material characteristics. Examples for some inverse field problems, using first-order triangular elements for the two-dimensional magnetostatic Maxwell equations, are included to illustrate the advantages of the method. The formulation preserves the requirement of a given local flux or a global constraint parameter while yielding the design, i.e. the geometry of the devices

Keywords

design engineering; finite element analysis; magnetic circuits; magnetostatics; device geometry design; examples; first-order triangular elements; general one-step method; global constraints; inverse field problems; inverse finite element problems; local constraints; magnetic circuit design; nonlinear finite element problems; nonlinear material characteristics; two-dimensional magnetostatic Maxwell equations; Finite element methods; Geometry; Inverse problems; Iron; Magnetic flux; Magnetostatics; Maxwell equations; Nonlinear equations; Saturation magnetization; Voltage;

fLanguage

English

Journal_Title

Magnetics, IEEE Transactions on

Publisher

ieee

ISSN

0018-9464

Type

jour

DOI

10.1109/20.92176

Filename

92176