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Forced oscillators with non-linear spring: A simple analytical approach

S. Wang and M. Wiercigroch

Chaos, Solitons & Fractals, 2009, vol. 41, issue 4, 1784-1790

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.

Date: 2009
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:41:y:2009:i:4:p:1784-1790

DOI: 10.1016/j.chaos.2008.07.048

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