Forced oscillators with nonlinear spring: a simple analytical approach

S. Wang; M. Wiercigroch

doi:10.1016/j.chaos.2008.07.048

Forced oscillators with nonlinear spring: a simple analytical approach

S. Wang, M. Wiercigroch

Research output: Contribution to journal › Article › peer-review

6 Citations (Scopus)

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 language	English
Pages (from-to)	1784–1790
Number of pages	7
Journal	Chaos, Solitons & Fractals
Volume	41
Issue number	4
DOIs	https://doi.org/10.1016/j.chaos.2008.07.048
Publication status	Published - 30 Aug 2009

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title = "Forced oscillators with nonlinear spring: a simple analytical approach",

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.",

author = "S. Wang and M. Wiercigroch",

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AU - Wiercigroch, M.

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N2 - 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.

AB - 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.

U2 - 10.1016/j.chaos.2008.07.048

DO - 10.1016/j.chaos.2008.07.048

M3 - Article

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SP - 1784

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JO - Chaos, Solitons & Fractals

JF - Chaos, Solitons & Fractals

IS - 4

ER -

Forced oscillators with nonlinear spring: a simple analytical approach

Abstract

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