动摩擦作用下含间隙碰撞振动系统的动力学分析

Dynamic analysis for a vibro-impact system with clearance under kinetic friction

研究在非光滑因素间隙及摩擦作用下的强非线性系统动力学行为。将Dankowicz动摩擦模型引进力学系统中,给出振子受力判断条件,结合数值仿真分析,探讨摩擦诱导振动及其它关键参数对系统动力学特性的影响。结果表明,系统在不同参数下存在复杂多样的摩擦诱导振动形式:稳定周期摩擦振动、概周期摩擦黏滞振动、概周期瞬时摩擦诱导振动、颤振碰撞、摩擦诱导黏滞擦边碰撞振动及摩擦诱导黏滞混沌振动等。

The dynamical behavior of a strong non-linear system with clearance containing non-smooth factors and friction was investigated. Dankowicz kinetic friction model was introduced into the system,the judgment condition for the oscillator force-bearing was deduced. Combined with the numerical simulation,the friction induced vibration and the effects of other key parameters on the dynamic characteristics of the system were explored. The results showed that under different parameters,there are complex and various forms of friction-induced vibration in the system,such as,stable periodic friction vibration,quasi-periodic friction sticky vibration,quasi-periodic instantaneous friction induced vibration,flutter impact,friction induced sticky impact vibration,friction induced sticky chaotic vibration,etc.