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用三维映射表示具有单侧刚性约束的两自由度振动系统在塑性碰撞时的动力学方程．借 助理论分析与数值方法研究了系统周期ｎ－１振动的存在性与稳定性，描述了系统周期ｎ－１ 振动的特点，讨论了碰撞振子与约束擦边引起的Ｐｏｉｎｃａｒｅ映射奇异性对系统全局分岔的影响．
DYNAMIC EQUATION OF A TWO-DIVISION VIBRATION SYSTEM UNDER PLASTIC COLLISION USING 3D MAPPING. The existence and stability of system periodic n-1 vibration are studied by means of theoretical analysis and numerical method. The characteristics of system periodic n-1 vibration are described. The singularities caused by colliding oscillator and constrained wiping edge are also discussed. The impact of bifurcation.