Identification of Nonlinear Dynamical Systems Under Random Impulse Excitations

Authors: Kulisiewicz M.; Piesiak S.; Wajda M.

Source: Systems Analysis Modelling Simulation, Volume 42, Number 3, 1 January 2002 , pp. 463-472(10)

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Abstract:

A solution relating to the identification of dynamical systems subjected to excitations in the form of a series of random impulses is discussed. The existing relevant methods are applicable to one-degree-of-freedom systems subjected to determinate random stationary excitations. In the present paper an important contribution to the identification of nonlinear restitutive interaction is made through the use of suitably modified, so-called power balance equation. The proposed solution has been verified experimentally by applying it to a nonlinear system with two degrees of freedom. This method can be used to investigate the elasto-damping properties of structural materials (or elastic machine elements) and discover changes of these properties under sustained dynamic loads.

Keywords: Nonlinear dynamic systems; modelling; identifications; random impulse.

Document Type: Research article

DOI: http://dx.doi.org/10.1080/0232929022188228

Affiliations: 1: Institute of Materials Science and Applied Mechanics, Technical University of Wroc lstrok aw, Poland, e-mail. M.Kulisiewicz@immt.pwr.wroc.plaw, Poland, e-mail. M.Kulisiewicz@immt.pwr.wroc.pl">