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An Alternative Analysis of Duffing's Equation

✍ Scribed by Brian J. McCartin

Book ID: 120623972
Publisher: Society for Industrial and Applied Mathematics
Year: 1992
Tongue: English
Weight: 513 KB
Volume: 34
Category: Article
ISSN: 0036-1445
DOI: 10.2307/2132606

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An unbounded solution of a superlinear Duffing's equation

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In this study, an undamped Du$ng's oscillator equation with time-dependent parameters has been considered. The time-varying part is expanded in a series of ultraspherical polynomials in the spirit of Sinha and Chou and only the constant part is retained. The non-linearity parameter is assumed to be

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

✍ K.B. Blair; C.M. Krousgrill; T.N. Farris 📂 Article 📅 1997 🏛 Elsevier Science 🌐 English ⚖ 228 KB

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 so