2003•固体力学学报：英文版Requires access

RESEARCH IN STABILITY OF PERIODIC MOTION, BIFURCATION AND CHAOS IN A VIBRATORY SYSTEM WITH A CLEARANCE

LuoGuanwei, XieJianhua

Abstract

A two-degrees-of-freedom vibratory system with a clearance or gap is under consideration based on the Poincard map. Stability and local bifurcation of the period-one doubleimpact symmetrical motion of the system are analyzed by using the equation of map. The routes from periodic impact motions to chaos, via pitchfork bifurcation, period-doubling bifurcation and grazing bifurcation, are studied by numerical simulation. Under suitable system parameter conditions, Neimark-Sacker bifurcations associated with periodic impact motion can occur in the two-degrees-of-freedom vibro-impact system.

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Key concepts: Period-doubling bifurcation, Pitchfork bifurcation, Bifurcation, Transcritical bifurcation, Saddle-node bifurcation, Bifurcation diagram, Mathematics, Infinite-period bifurcation