Topological Optimization Technique for Free Vibration Problems

[+] Author and Article Information
Zheng-Dong Ma

Department of Applied Mechanics, Jilin University of Technology, Changchun, P. R. China

Noboru Kikuchi, Hsien-Chie Cheng

Department of Mechanical Engineering and Applied Mechanics, The University of Michigan, Ann Arbor, MI 48109-2215

Ichiro Hagiwara

Vehicle Laboratory, Central Engineering Laboratories, Nissan Motor Company, Ltd., 1, Natsushima-cho, Yokosuka, 237, Japan

J. Appl. Mech 62(1), 200-207 (Mar 01, 1995) (8 pages) doi:10.1115/1.2895903 History: Received December 14, 1992; Revised June 21, 1993; Online October 30, 2007


A topological optimization technique using the conception of OMD (Optimal Material Distribution) is presented for free vibration problems of a structure. A new objective function corresponding to multieigenvalue optimization is suggested for improving the solution of the eigenvalue optimization problem. An improved optimization algorithm is then applied to solve these problems, which is derived by the authors using a new convex generalized-linearization approach via a shift parameter which corresponds to the Lagrange multiplier and the use of the dual method. Finally, three example applications are given to substantiate the feasibility of the approaches presented in this paper.

Copyright © 1995 by The American Society of Mechanical Engineers
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