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Published December 1987 | public
Journal Article Open

Identification of nonlinear vibrating structures: Part I -- Formulation


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 nonparametric 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.

Additional Information

Contributed by the Applied Mechanics Division for publication in the JOURNAL OF APPLIED MECHANICS. Manuscript recelved by ASME Applied Mechanics Division, January 13, 1987, final revision June 23, 1987. This study was supported in part by a grant from the National Science Foundation and the National Institute of Health Biomedical Simulations Resource at the University of Southern California.


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August 22, 2023
October 13, 2023