Using Padé Approximants and Curve-fitting to Approximate Eigenvalues and Eigenvectors for Large Design Changes

[+] Author and Article Information
J. M. Vance, J. E. Bernard

Department of Mechanical Engineering, Iowa University, Ames IA 50011

J. Mech. Des 118(1), 151-153 (Mar 01, 1996) (3 pages) doi:10.1115/1.2826847 History: Received July 01, 1994; Revised August 01, 1995; Online December 11, 2007


Our overall goal is to develop software that facilitates the interactive participation of the designer in the optimization process. We are focusing this research on problems which use finite element solutions as part of the objective function. One challenge to implementing interactive participation in these types of problems is the high computational burden of computing a finite element solution for each design change. The research presented here focuses on a unique method to develop fast approximations for natural frequencies and mode shapes which can be used to avoid the time-consuming re-solution process and which will facilitate interactive design for systems with even large design changes.

Copyright © 1996 by The American Society of Mechanical Engineers
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