Local and global stability of a piecewise linear oscillator

Author:

Abstract

Machines and mechanisms with moving parts, subjected to periodic excitation, often show unexpected dynamic behaviour, and impacts due to their connection clearances may occur. The most simple mathematical model is a one degree-of-freedom nonlinear oscillator governed by a piecewise linear symmetric function to describe the restoring force. The system’s response, which can be quite rich and complicated, is described in detail. Modern methods for a combined analytical and numerical analysis are used to study local and global bifurcation conditions, coexisting solutions and their associated domains of attraction.

Publisher

The Royal Society

Subject

Pharmacology (medical),Complementary and alternative medicine,Pharmaceutical Science

Reference18 articles.

1. Grebogi C. Ott E. & Yorke J. 1983 Crises sudden changes in chaotic attractors and transient chaos. Physica 1)7 181-200.

2. Haack. C. 1990 Rechnergestutzte Verfahren zur Analyse nichtlinearer dynamischer Probleme. Diplomarbeit DT PL-28 Universitat S tuttgart.

3. A Generalized theory of cell-to-cell mapping for nonlinear dynamical systems. ,/. appl;Hsu C.;Mech.,1981

4. Kleczka M. 1991 Methoden zur Verzweigungsanalyse mit Anwendung aus einen Spielschwinger. Fortschr.-Ber. V D I R e i h e 11 no.153. Diisseldorf: VDI-Verlag.

5. Kleczka M. Kreuzer E. & Wi Inters Ch. 1990a Crises in mechanical systems. In Proc. 1UTAM Symp.on Nonlinear Dynamics in Engineering Systems W. Schiehlen pp. 141 148. Berlin:

Cited by 53 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

同舟云学术

1.学者识别学者识别

2.学术分析学术分析

3.人才评估人才评估

"同舟云学术"是以全球学者为主线,采集、加工和组织学术论文而形成的新型学术文献查询和分析系统,可以对全球学者进行文献检索和人才价值评估。用户可以通过关注某些学科领域的顶尖人物而持续追踪该领域的学科进展和研究前沿。经过近期的数据扩容,当前同舟云学术共收录了国内外主流学术期刊6万余种,收集的期刊论文及会议论文总量共计约1.5亿篇,并以每天添加12000余篇中外论文的速度递增。我们也可以为用户提供个性化、定制化的学者数据。欢迎来电咨询!咨询电话:010-8811{复制后删除}0370

www.globalauthorid.com

TOP

Copyright © 2019-2024 北京同舟云网络信息技术有限公司
京公网安备11010802033243号  京ICP备18003416号-3