✦ LIBER ✦

NON-LINEAR NORMAL MODES OF A LUMPED PARAMETER SYSTEM

✍ Scribed by M.I. Qaisi

Publisher: Elsevier Science
Year: 1997
Tongue: English
Weight: 165 KB
Volume: 205
Category: Article
ISSN: 0022-460X
DOI: 10.1006/jsvi.1997.0973

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✦ Synopsis

A method based on the power series technique is developed for the computation of normal modes and frequencies of a non-linear conservative lumped parameter system. The power series analysis is facilitated upon transforming the time variable into an harmonically oscillating time. Recurrence relations are derived from the governing equations of motion and used to determine the normal modes and frequencies iteratively. The oscillating time frequency is obtained by satisfying Rayleigh's energy principle. Excellent accuracy is demonstrated by the method in predicting the modal amplitudes and frequencies.

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