✦ LIBER ✦

A numerical technique to predict periodic and quasi-periodic response of nonlinear dynamic systems

✍ Scribed by Sunetra Sarkar; Kartik Venkatraman

Publisher: Elsevier Science
Year: 2003
Tongue: English
Weight: 195 KB
Volume: 81
Category: Article
ISSN: 0045-7949
DOI: 10.1016/s0045-7949(03)00012-9

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✦ Synopsis

A frequency domain based algorithm using Fourier approximation and Galerkin error minimization has been used to obtain the periodic orbits of large order nonlinear dynamic systems. The stability of these periodic response is determined through a bifurcation analysis using Floquet theory. This technique is applicable to dynamic systems having both analytic and nonanalytic nonlinearities. This technique is compared with numerical time integration and is found to be much faster in predicting the steady state periodic response.

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