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Titolo:
Hopf bifurcations and chaos of a two-degree-of-freedom vibro-impact systemin two strong resonance cases
Autore:
Luo, GW; Xie, JH;
Indirizzi:
Lanzhou Railway Inst, Dept Mech Engn, Lanzhou 730070, Peoples R China Lanzhou Railway Inst Lanzhou Peoples R China 730070 070, Peoples R China SW Jiaotong Univ, Dept Appl Mech & Engn, Chengdu 610031, Peoples R China SW Jiaotong Univ Chengdu Peoples R China 610031 610031, Peoples R China
Titolo Testata:
INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS
fascicolo: 1, volume: 37, anno: 2002,
pagine: 19 - 34
SICI:
0020-7462(200201)37:1<19:HBACOA>2.0.ZU;2-D
Fonte:
ISI
Lingua:
ENG
Soggetto:
LINEAR-OSCILLATOR; GRAZING-INCIDENCE; DYNAMICS; TRANSITION; MOTION;
Keywords:
vibro-impact; periodic motion; strong resonance; Hopf bifurcation; chaos;
Tipo documento:
Article
Natura:
Periodico
Settore Disciplinare:
Engineering, Computing & Technology
Citazioni:
23
Recensione:
Indirizzi per estratti:
Indirizzo: Luo, GW Lanzhou Railway Inst, Dept Mech Engn, Lanzhou 730070, Peoples R China Lanzhou Railway Inst Lanzhou Peoples R China 730070 ples R China
Citazione:
G.W. Luo e J.H. Xie, "Hopf bifurcations and chaos of a two-degree-of-freedom vibro-impact systemin two strong resonance cases", INT J N-L M, 37(1), 2002, pp. 19-34

Abstract

A two-degree-of-freedom system with one-side amplitude constraint subjected to periodic excitation is considered. Dynamics of the system are studied with special attention to Hopf bifurcations of period motions in two kinds of strong resonance cases. The Poincare map of the vibro-impact system withproportional damping property is established. The stability of a class of periodic motions with one impact is investigated by analytical methods. Hopf bifurcation values and intersecting conditions of the period motions withone impact, in two kinds of strong resonance cases, are determined. A center manifold theorem technique is applied to reduce the Poincare map to a two-dimensional one, which is put into normal form by theory of normal forms. By theory of Hopf bifurcations of fixed points in R-2-strong resonance, local dynamic behavior of the vibro-impact system, near points of resonance, is analyzed. The theoretical analyses are verified by numerical solutions. Routes of periodic impacts to chaos, in two kinds of strong resonance cases, are obtained by numerical simulations. (C) 2001 Elsevier Science Ltd. Allrights reserved.

ASDD Area Sistemi Dipartimentali e Documentali, Università di Bologna, Catalogo delle riviste ed altri periodici
Documento generato il 19/01/20 alle ore 11:42:19