Nonlinear Dynamics Simulation of Globoidal Cam and Roller Follower Mechanism With Clearanance Using Different Material Properties

L. S. Yousuf
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Abstract

The effect of contact different material properties for globoidal cam and roller follower system on the nonlinear dynamics phenomenon is investigated at different cam speeds and different follower guides’ clearances. The contact between the cam and the follower and between the follower and its guides are considered at different contact conditions. The optimal contact condition is selected based on the value of local Lyapunov exponent parameter. The impact and friction are considered in SolidWorks program based on the value of sliding contact velocity and kinetic coefficient of friction. The contact condition is steel dry, steel greasy, nylon, acrylic, aluminum dry, and aluminum greasy. The nonlinear dynamics and chaos is detected using phase-plane diagram and Poincare’ map. The trend of the nonlinear response of the follower displacement is discussed at different contact conditions. The more black dots in Poincare’ maps, the more detachment heights between the cam and the follower since the black dots are stationed around one area inside Poincare’ map. In phase-plane diagram, the follower displacement-velocity diverges with no limit of spiral cycles which gives indication that the motion is non-periodic and chaos.
不同材料特性下带间隙弧面凸轮滚子从动件机构的非线性动力学仿真
研究了在不同凸轮转速和从动件导轨间隙下,弧面凸轮-滚子从动件系统接触材料特性对非线性动力学现象的影响。考虑了凸轮与从动件、从动件与导轨在不同接触条件下的接触情况。根据局部李雅普诺夫指数参数的取值选择最优接触条件。SolidWorks程序根据滑动接触速度和动力摩擦系数的值考虑碰撞和摩擦。接触条件为钢干、钢油腻、尼龙、亚克力、铝干、铝油腻。利用相平面图和庞加莱图检测系统的非线性动力学和混沌特性。讨论了不同接触条件下从动件位移非线性响应的变化趋势。庞加莱地图上的黑点越多,凸轮和跟随者之间的分离高度越高,因为黑点驻扎在庞加莱地图内的一个区域周围。在相平面图中,从动件的位移-速度不受螺旋循环的限制而发散,表明其运动是非周期性的混沌运动。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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