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

被引：7

作者：

Wang, S. ^{[1
,2
]}

Wiercigroch, M. ^{[1
]}

机构：

[1] Univ Aberdeen, Kings Coll, Sch Engn, Ctr Appl Dynam Res, Aberdeen AB24 3UE, Scotland

[2] Beijing Univ Aeronaut & Astronaut, Sch Sci, Beijing 100083, Peoples R China

来源：

CHAOS SOLITONS & FRACTALS | 2009年 / 41卷 / 04期

基金：

中国国家自然科学基金;

关键词：

LINDSTEDT-POINCARE METHODS; PERTURBATION TECHNIQUE; EXPANSION; APPROXIMATE; CONSTANT; SYSTEMS; BALANCE;

D O I：

10.1016/j.chaos.2008.07.048

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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. (C) 2008 Elsevier Ltd. All rights reserved.

引用

页码：1784 / 1790

页数：7

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