Nonlinear Dynamics of a Planar Mechanism With Cam and Clearance

L. S. Yousuf, D. Marghitu
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Abstract

A planar mechanism with three moving links is connected to a cam. The investigation of the dynamic simulation of crank arm and connecting rod in the existence of clearance in cam follower system is studied against cam speeds. Nonlinear response for crank arm, connecting rod, and roller follower is simulated at various clearances and various cam speeds. Nonlinear dynamic tool are used to quantify local Lyapunov exponent. The periodicity of nonlinear response is detected using phase-plane diagram, power density function, and Poincare’ map. Solidworks program is needed in the simulation of point linear displacement. The impact and friction are considered in SolidWorks based on the value of sliding contact velocity and kinetic coefficient of friction. The impact of coefficient of restitution is investigated between the cam and the follower and between the follower and its guides. The trend of the nonlinear response of the crank arm and the connecting rod are discussed.
带凸轮和间隙的平面机构的非线性动力学
有三个运动连杆的平面机构与凸轮相连。研究了凸轮从动件系统中存在间隙时曲柄臂和连杆在凸轮转速下的动力学仿真问题。仿真了曲柄臂、连杆和滚子从动件在不同间隙和不同凸轮速度下的非线性响应。采用非线性动态工具对局部李雅普诺夫指数进行量化。利用相平面图、功率密度函数和庞加莱图检测非线性响应的周期性。点线性位移的仿真需要Solidworks程序。在SolidWorks中,根据滑动接触速度和动力学摩擦系数的值来考虑碰撞和摩擦。研究了凸轮与从动件之间以及从动件与导轨之间的恢复系数的影响。讨论了曲柄臂和连杆的非线性响应趋势。
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