一类含Stribeck摩擦机械振动系统的动力学特性分析  

Analysis of Dynamic Characteristics of a Class of Mechanical Vibration System with Stribeck Friction

作　　者：李钰龙 金花[1] 康凯 LI Yulong;JIN Hua;KANG Kai(School of Mechanical and Electrical Engineering,LanzhouJiaotong University,Lanzhou 730070,China)

机构地区：[1]兰州交通大学机电工程学院,甘肃兰州730070

出　　处：《兰州工业学院学报》2024年第2期46-52,共7页Journal of Lanzhou Institute of Technology

摘　　要：针对一类含Stribeck摩擦单自由度机械振动系统模型,应用数值仿真法分析了系统滑移-黏附运动的转迁规律,结合胞映射法研究了多态共存区内共存吸引子及吸引域的演化过程,探讨了不同皮带速度对系统动力学特性的影响。结果表明:外部激励的变化影响系统对黏附状态的响应特征,但不影响系统的碰撞特性与周期特性;揭示了系统接触右弹性约束面对黏附状态的响应转迁规律且其转迁过程不可逆;Sliding分岔能诱导系统发生鞍结分岔,使系统在多个极小区间内存在迟滞域,在多态共存区内相邻不可逆周期运动存在吸引子共存现象;在一定范围内,皮带速度不断增大,系统运动逐渐趋于简单运动状态。In this paper,for a class of single-degree-of-freedom mechanical vibration system with Stribeck friction,the numerical simulation method is applied to analyze the transfer law of the slip-adhesion motion of the system,and the cell mapping method is combined to study the evolution process of the coexisting attractor and the attraction domain in the polymorphic coexistence zone,and the effects of different belt speeds on the dynamics of the system are explored.The results show that the change of external excitation affects the response characteristics of the system to the adhesion state,but does not affect the collision characteristics and periodic characteristics of the system;the transition rule of the contact right elastic constraint in response to the adhesion state is revealed,and the transition process is irreversible;The transition of Sliding bifurcation can induce the system to have saddle-knot bifurcation,so that the system has hysteresis domains in several very small intervals,and there are attractor coexistence phenomena in the polymorphic coexistence zone of neighboring irreversible periodic motion.In a certain range,the speed of the belt is increasing,and the motion of the system gradually tends to be simple.

关 键 词：Stribeck摩擦 滑移-黏附运动 分岔 吸引域 

分 类 号：O322[理学—一般力学与力学基础]