变质量碰撞减振系统响应的非线性时间序列分析

摘要

The complex nonlinear characteristic of impact damper is worldwide research.A simulating experimental method is presented to study the influence of impact mass on damping performance of impact dampers.The nonlinear time series analysis method based on phase space reconstruction theory,is used to analysis the nonlinear behaviors of the impact damper system with time-variable mass.Form the deduced value of delay time and embedding dimension,the correlation dimension and the largest Lyapunov exponent are calculated.Then the nonlinear behavior of vibration system is judged.It is found that the vibration motion of system without impact mass is periodic and the behavior of system with time-variable mass is chaotic.%研究了带变质量碰撞阻尼的振动系统的运动特征。采用基于相空间重构的非线性时间序列分析方法,对振动响应的时间序列进行非线性特征分析。在得到时间序列的延迟时间和嵌入维的基础上,完成了非线性特征量——关联维数和最大Lyapunov指数的计算,并对系统的非线性运动形态进行了判断。研究结果表明：当主系统无碰撞质量时,振动响应为周期运动;当主系统存在变质量碰撞阻尼时,系统呈现混沌运动。