Shape design with great geometrical deformations using continuously moving finite element nodes

Author

Brandstatter, B.R. ; Ring, W. ; Magele, Ch ; Richter, K.R.

Author_Institution

Inst. for Fundamentals & Theor. in Electr. Eng., Graz Univ. of Technol., Austria

Volume

34

Issue

5

fYear

1998

fDate

9/1/1998 12:00:00 AM

Firstpage

2877

Lastpage

2880

Abstract

In this paper design sensitivity analysis is applied to solve the TEAM workshop problem 25. In order to justify the use of a gradient method, it is necessary to assume a continuously differentiable dependence of the stiffness matrix on the design parameters. Since design sensitivity analysis is mainly applicable to optimization problems, where the geometrical parameters undergo small changes only - which is not the case for the problem investigated in this paper-a procedure is proposed, which allows this method to be applied also when the changes in geometry are significant

Keywords

finite element analysis; magnetostatics; optimisation; permanent magnets; sensitivity analysis; finite element method; geometrical deformation; gradient method; optimization; permanent magnet; sensitivity analysis; shape design; stiffness matrix; Cost function; Density measurement; Finite element methods; Gradient methods; Magnetic flux density; Mathematics; Mesh generation; Nonlinear distortion; Sensitivity analysis; Shape measurement;

fLanguage

English

Journal_Title

Magnetics, IEEE Transactions on

Publisher

ieee

ISSN

0018-9464

Type

jour

DOI

10.1109/20.717670

Filename

717670