Application of an Equivalent Nonlinear System Approach to Dissipative Dynamical Systems

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

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

J. Appl. Mech 36(3), 412-416 (Sep 01, 1969) (5 pages) doi:10.1115/1.3564694 History: Received September 10, 1968; Online September 14, 2011


This paper deals with a method for generating approximate periodic solutions for dissipative second-order nonlinear systems. The approach presented is based on the definition of an auxiliary nonlinear system which is equivalent to the original system in the sense of minimum mean-square difference. The method is applied to a system with a cubic nonlinearity and leads to a substantial improvement over more conventional first-order approximation techniques.

Copyright © 1969 by ASME
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