Nonparametric Identification of Nearly Arbitrary Nonlinear Systems

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

Civil Engineering Department, School of Engineering, University of Southern California, Los Angeles, Calif. 90007

T. K. Caughey

Division of Engineering and Applied Science, California Institute of Technology, Pasadena, Calif. 91109

J. Appl. Mech 49(3), 619-628 (Sep 01, 1982) (10 pages) doi:10.1115/1.3162537 History: Received December 01, 1981; Revised February 01, 1982; Online July 21, 2009


A nonparametric identification technique is presented for use with discrete multidegree-of-freedom nonlinear dynamic systems. The method requires information regarding the system response and estimates of its pertinent “mode shapes” to determine, by means of regression techniques involving the use of two-dimensional orthogonal functions, an approximate expression for the system generalized restoring forces in terms of the corresponding generalized system state variables. The technique is applied to several example systems. The method can be used with deterministic or random excitation to identify dynamic systems with arbitrary nonlinearities, incuding those with hysteretic characteristics. It is also shown that the method is easy to implement and needs much less computer time and storage requirements compared to the Wiener-kernel approach.

Copyright © 1982 by ASME
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