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

S. Wang; M. Wiercigroch

doi:10.1016/j.chaos.2008.07.048

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

S. Wang^*
, M. Wiercigroch

^*Corresponding author for this work

School of Aeronautic Science and Engineering

University of Aberdeen

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

8 Scopus citations

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 and Fractals
Volume	41
Issue number	4
DOIs	https://doi.org/10.1016/j.chaos.2008.07.048
State	Published - 30 Aug 2009

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10.1016/j.chaos.2008.07.048

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title = "Forced oscillators with non-linear 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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T2 - A simple analytical approach

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AU - Wiercigroch, M.

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Y1 - 2009/8/30

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.

UR - https://www.scopus.com/pages/publications/67349172217

U2 - 10.1016/j.chaos.2008.07.048

DO - 10.1016/j.chaos.2008.07.048

M3 - 文章

AN - SCOPUS:67349172217

SN - 0960-0779

VL - 41

SP - 1784

EP - 1790

JO - Chaos, Solitons and Fractals

JF - Chaos, Solitons and Fractals

IS - 4

ER -

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

Abstract

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