【摘 要】
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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 per
【出 处】
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Acta Mechanica Solida Sinica
论文部分内容阅读
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.
A two-degrees-of-freedom vibratory system with a clearance or gap 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.
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