Improvement of a Nonparametric Identification Procedure Used in Nonlinear Dynamics

[+] Author and Article Information
P. Argoul

Service de Mecanique, Jeune Equipe C.N.R.S., Laboratoire Central des Ponts et Chaussees, Noisy-le-Grand 93167, France

L. Jezequel

Départment de Mécanique des Solides, Ecole Centrale de Lyon, Ecully 69131, France

J. Appl. Mech 56(3), 697-703 (Sep 01, 1989) (7 pages) doi:10.1115/1.3176149 History: Received February 15, 1988; Revised August 16, 1988; Online July 21, 2009


The advantage of nonparametric identification methods based on the use of approximations of the restoring forces is that they do not require the a priori knowledge of a model for the nonlinear behavior of the structure. However, the main difficulty encountered with this type of methods is the fitting of nonlinear forces in the force-state mapping fields where there are not sufficient experimental data. In this paper, an improvement of the regression technique in conjunction with the use of two-dimensional Chebyshev orthogonal polynomials by introducing an interative computation process is presented. It is shown that the proposed method can properly identify the discretized model even in the case of high cross-product displacement-velocity terms and that this method can be used for structures presenting important nonlinear modal coupling.

Copyright © 1989 by ASME
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