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HARMONIC BALANCE AND CONTINUATION TECHNIQUES IN THE DYNAMIC ANALYSIS OF DUFFING'S EQUATION

✍ Scribed by K.B. Blair; C.M. Krousgrill; T.N. Farris

Publisher: Elsevier Science
Year: 1997
Tongue: English
Weight: 228 KB
Volume: 202
Category: Article
ISSN: 0022-460X
DOI: 10.1006/jsvi.1996.0863

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✦ Synopsis

Duffing's equation with a negative linear stiffness is investigated. A harmonic balance technique coupled with a continuation scheme is utilized to trace the system response to changes in the magnitude of the applied harmonic forcing. With the aid of Floquet theory, the stability of the resulting solutions is ascertained. The use of the analysis technique described herein allows for the identification of previously undetected strange attractors that coexist with the stable period one solutions. These results explain the discrepancies between the observed and theoretically predicted levels of applied loading required for chaotic motion.

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