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A WAVELET-BASED APPROACH FOR THE IDENTIFICATION OF LINEAR TIME-VARYING DYNAMICAL SYSTEMS

✍ Scribed by ROGER GHANEM; FRANCESCO ROMEO


Publisher
Elsevier Science
Year
2000
Tongue
English
Weight
260 KB
Volume
234
Category
Article
ISSN
0022-460X

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✦ Synopsis


A novel procedure is developed for the identi"cation of linear discrete models of dynamical systems from noisy data. Of particular interest is the application of the methodology to time-varying systems. The procedure is based on a representation of the governing di!erential equations with respect to a wavelet basis, and the formulation of an inverse algebraic problem in the associated subspace. The e!ect of noisy data is considered and numerical simulations demonstrating the applicability of the method to single-and multi-degree-of-freedom dynamical systems are presented.


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## Abstract The present paper describes an unconditionally stable algorithm to integrate the equations of motion in time. The standard FEM displacement model is employed to perform space discretization, and the time‐marching process is carried out through an algorithm based on the Green's function