Classification of periodic orbits for systems with backlash

被引：1

作者：

Shukla, Amit ^{[1
]}

Besselink, Bart ^{[2
]}

Fey, Rob H. B. ^{[2
]}

Nijmeijer, Henk ^{[2
]}

机构：

[1] Miami Univ, Dept Mech & Mfg Engn, Oxford, OH 45056 USA

[2] Eindhoven Univ Technol, Dept Mech Engn, NL-5600 MB Eindhoven, Netherlands

来源：

CHAOS SOLITONS & FRACTALS | 2009年 / 41卷 / 01期

关键词：

VIBRATION; OSCILLATORS; DYNAMICS;

D O I：

10.1016/j.chaos.2007.11.018

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper systems with backlash are studied for the effect of excitation parameters on the periodic response. These systems are modeled as piecewise linear systems with discontinuity in the net restoring force, caused by additional damping in the contact zone. The periodic orbits are classified by their number of subspace boundary crossings and, alternatively, by the largest Floquet multipliers. Some observations are also presented about the qualitative features such as symmetry breaking bifurcations exhibited by this class of systems. (C) 2007 Elsevier Ltd. All rights reserved.

引用

页码：131 / 144

页数：14

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