A Simple Technique for the Minimum Mass Design of Continuous Structural Members

[+] Author and Article Information
M. Foley

Department of Mechanical Engineering, Clarkson College of Technology, Potsdam, N. Y.

S. J. Citron

School of Mechanical Engineering, Purdue University, West Lafayette, Ind.

J. Appl. Mech 44(2), 285-290 (Jun 01, 1977) (6 pages) doi:10.1115/1.3424039 History: Received May 01, 1976; Revised November 01, 1976; Online July 12, 2010


A technique for determining the minimum mass design of continuous structural members is presented. The method involves formulating the minimum mass design problem as an optimal control problem, transforming the differential equations modeling the member into a penalty function, and then representing the state variables in terms of a Ritz-type expansion and discretizing to reduce the original optimal control problem to a parameter optimization problem. The technique is applied to determine the optimal design of a simply supported beam with fixed fundamental frequency of free vibration and a fixed-free column with specified Euler buckling load.

Copyright © 1977 by ASME
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