两自由度塑性碰撞振动系统的周期运动与稳定性

Periodic Impacts and Stability of a Two Degree of Freedom System with Plastic Vibro Impact

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分析了系统周期 n - 1振动的存在与稳定性 .描述了系统周期 n - 1振动的特点 .

On the plastic vibro impact condition, the dynamics of a two degree of fre edom system contacting a single stop is represented by a three dimensional map. The existence and stability of period n single impact motions are analyzed by theoretical and numerical methods, and the characteristics of period n si ngle impact motions are described.