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RESEARCH PAPERS: Design Automation Papers

An Efficient Method to Predict the Effect of Design Modifications

[+] Author and Article Information
Matt N. Rizai

Mechanical Engineering Department, Michigan State University, East Lansing, MI

James E. Bernard

Mechanical Engineering Department, Iowa State University, Ames, IA

J. Mech., Trans., and Automation 109(3), 377-384 (Sep 01, 1987) (8 pages) doi:10.1115/1.3258806 History: Online November 19, 2009

Abstract

Static and dynamic analyses are important tools for the improvement of structural systems. Consider a system where a number of different changes may be synthesized to improve static and dynamic behavior. The analysis depends on numerical optimization schemes for systems with a large number of degrees of freedom. These analyses become computationally burdensome for redesign analysis. This paper presents an efficient method to predict the effect of design modifications on mechanical and structural systems with many degrees of freedom. The method minimizes a cost function which includes natural frequencies, size of design change and static deflections. It uses a finite-element preprocessor to find derivatives of mass and stiffness matrices and computationally efficient techniques to find eigen-value and eigenvector derivatives for use in the optimization.

Copyright © 1987 by ASME
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