Forced oscillators with nonlinear spring: a simple analytical approach

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Abstract

An analytical method of finding the amplitude frequency and phase frequency characteristics of a forced oscillator with non-linear restoring force is proposed. The non-linear restoring force is simply fitted by a linear one with varying stiffness. The analytical expression of amplitude frequency characteristics predicts the jump or bifurcation points; and keeps highly consistent with the numerical results. This method can be used to both smooth and piecewise linear restoring force.
Original languageEnglish
Pages (from-to)1784–1790
Number of pages7
JournalChaos, Solitons & Fractals
Volume41
Issue number4
DOIs
Publication statusPublished - 30 Aug 2009

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