Equivalent Linearization for Continuous Dynamical Systems

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

California Institute of Technology, Pasadena, Calif.

C. M. Krousgrill

Purdue University, West Lafayette, Ind.

J. Appl. Mech 50(2), 415-420 (Jun 01, 1983) (6 pages) doi:10.1115/1.3167053 History: Received November 01, 1981; Revised September 01, 1982; Online July 21, 2009


An approximate method is presented for determining the dynamical response of certain continuous nonlinear systems. In the proposed method, the system equation is linearized in the time domain prior to generation of a solution in the spatial domain. The approach is particularly suited to problems with complex boundary conditions which make selection of realistic global, spatial, domain comparison functions difficult. The approach is ideally suited to problems where discretization using finite elements is appropriate. The transverse response of a nonlinear rectangular plate is examined by way of the application of the proposed method.

Copyright © 1983 by ASME
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