Calculation of Lyapunov exponents in impacted beam on distributed contact

被引：7

作者：

Kang, Jaeyoung ^{[1
]}

机构：

[1] Inha Univ, Coll Engn, Dept Mech Engn, Incheon, South Korea

来源：

JOURNAL OF SOUND AND VIBRATION | 2018年 / 431卷

基金：

新加坡国家研究基金会;

关键词：

Chaos; Beam; Lyapunov exponent; Vibro-impact; Distributed contact; CANTILEVER BEAM; DISC BRAKE; SYSTEMS; BIFURCATIONS; MOTION; PATTERN; MODELS;

D O I：

10.1016/j.jsv.2018.06.023

中图分类号：

O42 [声学];

学科分类号：

070206 ; 082403 ;

摘要：

This paper presents the calculation of Lyapunov exponents in a beam subjected to distributed impact. In this case, discontinuity sporadically occurs over the contacted area. The impact area is spatially discretized and the transition condition at impact instance is applied to all impact nodes in the finite element manner. The solution of the continuous vibration in the impacted beam is expressed in the modal expansion form. Then, the spectra of Lyapunov exponents in the periodic and chaotic motion are estimated for the truncated number of modes. Numerical results show that the calculated largest Lyapunov exponent agrees with the bifurcation plot. (C) 2018 Elsevier Ltd. All rights reserved.

引用

页码：295 / 303

页数：9

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