NONLINEAR DYNAMIC CHARACTERISTICS OF A VIBRO-IMPACT SYSTEM UNDER HARMONIC EXCITATION

被引：5

作者：

Cheng, Jianlian ^{[1
]}

Xu, Hui ^{[1
]}

机构：

[1] Xi An Jiao Tong Univ, Dept Engn Mech, MOE Key Lab Strength & Vibrat, Sch Aerosp, Xian 710049, Peoples R China

来源：

JOURNAL OF MECHANICS OF MATERIALS AND STRUCTURES | 2006年 / 1卷 / 02期

基金：

美国国家科学基金会;

关键词：

Hopf bifurcation; strong resonance; quasiperiodic motion; vibro-impact; chaos;

D O I：

10.2140/jomms.2006.1.239

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

Dynamical behaviors of a two-degree-of-freedom (TDOF) vibro-impact system are investigated. The theoretical solution of periodic-one double-impact motion is obtained by differential equations, periodicity and matching conditions, and the Poincare map is established. The dynamics of the system are studied with special attention to Hopf bifurcations of the impact system in nonresonance, weak resonance, and strong resonance cases. The Hopf bifurcation theory of maps in R-2-strong resonance is applied to reveal the existence of Hopf bifurcations of the system. The theoretical analyses are verified by numerical solutions. The evolution from periodic impacts to chaos in nonresonance, weak resonance, and strong resonance cases, is obtained by numerical simulations. The results show that dynamical behavior of the system in the strong resonance case is more complicated than that of the nonresonance and weak resonance cases.

引用

页码：239 / 258

页数：20

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