含间隙同步锥齿轮锁定后的非光滑动力学分析

针对周边环形桁架天线展开锁死后,分析齿轮副间隙由于空间冷—热环境交替对天线所产生的影响.因为整个桁架结构复杂,间隙种类众多,所以文中只研究一对同步直齿锥齿轮锁定后间隙的非光滑动力学行为.文中首先介绍了三种碰撞力模型,即恢复系数模型、Hertz接触力模型和非线性弹簧—阻尼模型,然后对物理模型进行简化得到动力学模型,最后建立了动力学方程.由于动力学方程中存在分段,直接求得解析解难度过大,文中直接采用数值仿真的方法进行分析,从仿真结果中得知含间隙的同步锥齿轮在外力的作用下整个系统会出现单倍周期、倍周期分岔和混沌等复杂的非线性响应.

Kinetic analysis of non-smooth after the synchronous straight bevel gears with clearance being locked

This paper focuses on the influence of joint clearance on the satellite dashes when the space environment alternates between cool and hot. Since the whole truss structure is complex and has many kinds of clearance,this paper only studied the nonlinear dynamical behavior of synchronous straight bevel gears which have clearance after the synchronous straight bevel gears is locked. The first model is Hertz contact force model; the second one is coefficient of restitution model; the last one is nonlinear spring damping model. Then the physical model was simplified, the dynamic one was obtained, and the dynamic equation with the nonlinear spring damping model was established. Due to the existence of segmentation in the dynamic equations, direct solve analytically is difficult, so this paper used numerical simulation method to analyze the model. From the analysis, it is obtained that the system of synchronous straight bevel gears with clearance will appear complex nonlinear phenomena such as Single periodic, period doubling bifurcation and chaotic responses.