中文摘要：

通过数值仿真研究了一类具有双侧刚性约束的单自由度碰撞振动系统对称周期运动经又式分岔、倍化分岔、“擦边”奇异性向混沌转迁的全局分岔过程，度其在混沌区域的“磕碰”行为．对其分岔与混沌行为的研究为工业实际中含间隙机械系统和冲击振动系统的优化设计提供了理论依据．

英文摘要：

A one-degree-of-freedom vibro-impact system with a pair of rigid constraints is investigated by numerical simulations. The route from periodic impact motion to chaos, via pitchfork bifurcation, perioddoubling bifurcation and grazing boundary,and high-frequency oscillatins in chaotic regions is studied. It is possible to optimize system parameter of practical system by investigation of bifurcation and chaos.