A Method for Reducing the Order of Nonlinear Dynamic Systems

[+] Author and Article Information
S. F. Masri, R. K. Miller, H. Sassi

Department of Civil Engineering, University of Southern California, Los Angeles, Calif. 90089-0242

T. K. Caughey

Division of Engineering and Applied Science, California Institute of Technology, Pasadena, Calif. 91106

J. Appl. Mech 51(2), 391-398 (Jun 01, 1984) (8 pages) doi:10.1115/1.3167630 History: Received February 01, 1983; Revised October 01, 1983; Online July 21, 2009


An approximate method that uses conventional condensation techniques for linear systems together with the nonparametric identification of the reduced-order model generalized nonlinear restoring forces is presented for reducing the order of discrete multidegree-of-freedom dynamic systems that possess arbitrary nonlinear characteristics. The utility of the proposed method is demonstrated by considering a redundant three-dimensional finite-element model half of whose elements incorporate hysteretic properties. A nonlinear reduced-order model, of one-third the order of the original model, is developed on the basis of wideband stationary random excitation and the validity of the reduced-order model is subsequently demonstrated by its ability to predict with adequate accuracy the transient response of the original nonlinear model under a different nonstationary random excitation.

Copyright © 1984 by ASME
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