Identification of Nonlinear Vibrating Structures: Part I—Formulation

[+] Author and Article Information
S. F. Masri, R. K. Miller, A. F. Saud

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

T. K. Caughey

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

J. Appl. Mech 54(4), 918-922 (Dec 01, 1987) (5 pages) doi:10.1115/1.3173139 History: Received January 13, 1987; Revised June 23, 1987; Online July 21, 2009


A self-starting multistage, time-domain procedure is presented for the identification of nonlinear, multi-degree-of-freedom systems undergoing free oscillations or subjected to arbitrary direct force excitations and/or nonuniform support motions. Recursive least-squares parameter estimation methods combined with non-parametric identification techniques are used to represent, with sufficient accuracy, the identified system in a form that allows the convenient prediction of its transient response under excitations that differ from the test signals. The utility of this procedure is demonstrated in a companion paper.

Copyright © 1987 by ASME
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