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

【摘要】 <正> A two-degrees-of-freedom vibratory system with a clearance or gap is under con-sideration based on the Poincaré map.Stability and local bifurcation of the period-one double-impact symmetrical motion of the system are analyzed by using the equation of map.The routesfrom periodic impact motions to chaos,via pitchfork bifurcation,period-doubling bifurcation andgrazing bifurcation,are studied by numerical simulation.Under suitable system parameter con-ditions,Neimark-Sacker bifurcations associated with periodic impact motion can occur in thetwo-degrees-of-freedom vibro-impact system.更多还原

【Abstract】 A two-degrees-of-freedom vibratory system with a clearance or gap is under con- sideration based on the Poincaré map.Stability and local bifurcation of the period-one double- impact 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 con- ditions,Neimark-Sacker bifurcations associated with periodic impact motion can occur in the two-degrees-of-freedom vibro-impact system.更多还原