A Computationally Efficient Objective Function for the Evaluation of the Natural Frequency in Structural Modification and Optimization Problems

[+] Author and Article Information
Tien-Sheng Chang

Department of Industrial Management, National Pingtung Polytechnic Institute, Taiwan, Republic of China

E. B. Magrab

Department of Mechanical Engineering, College of Engineering, University of Maryland, College Park, MD 20742

J. Vib. Acoust 119(4), 618-623 (Oct 01, 1997) (6 pages) doi:10.1115/1.2889771 History: Received November 01, 1994; Online February 26, 2008


A highly computationally efficient objective function for measuring the change in the natural frequency when a structure is modified is introduced. When the optimization of an orthotropic plate is studied, a decrease in CPU time by at least a factor of 40 is obtained when the new objective function is compared to that derived from the minor structural modification technique. The greater the number of finite elements affected by the design changes the higher the factor of improvement will be. This new objective function has the additional advantage that it can be used for substantial modifications to the original design.

Copyright © 1997 by The American Society of Mechanical Engineers
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