The Merit of Different Error Minimization Criteria in Approximate Analysis

[+] Author and Article Information
W. D. Iwan

Department of Applied Mechanics, California Institute of Technology, Pasadena, Calif.

E. J. Patula

U. S. Steel Corporation, Monroeville, Pa.

J. Appl. Mech 39(1), 257-262 (Mar 01, 1972) (6 pages) doi:10.1115/1.3422622 History: Received September 02, 1970; Revised December 24, 1970; Online July 12, 2010


The generation of approximate periodic solutions for certain ordinary nonlinear differential equations is considered. Three different minimization criteria are discussed within the context of a generalized equivalent equation type of analysis. The three minimization criteria are mean square, mean modulus, and extreme modulus minimization. Examples are used to investigate the relative merit of these minimization criteria.

Copyright © 1972 by ASME
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