一类存在间隙和摩擦的分段光滑振动系统的动力学特性

摘要

研究了简谐激励作用下含非光滑力学因素间隙和摩擦的两自由度振动系统的动力学。通过数值仿真揭示了该分段光滑振动系统随激振频率变化呈现的粘滞和非粘滞周期振动及分岔特点，分析了摩擦系数对系统周期冲击振动、分岔及滑移-粘滞状态的影响。%Dynamics of a two-degree of freedom vibration system which is under harmonic force and contains the non-smooth mechanical factors clearance and friction is studied in this paper.The sticking and sliding periodic vibration and the bifurcation characteristics presented with increasing or decreasing the exciting frequency of this piecewise smooth vibration system is revealed by means of numerical simulation.The influence of the friction coefficient on the periodic impact vi-bration,bifurcation and sliding-sticking phase of the system is analyzed.