含Dankowicz动摩擦的碰撞振动系统动力学分析  

Dynamic Analysis of the Impact Vibration System with Dankowicz Dynamic Friction

作　　者：张艳龙[1] 魏超 王丽[2] 王振禄 ZHANG Yanlong;WEI Chao;WANG Li;WANG Zhenlu(School of Mechatronic Engineering,Lanzhou Jiaotong University,Lanzhou 730070,China;School of Mathematics,Lanzhou City University,Lanzhou 730030,China)

机构地区：[1]兰州交通大学机电工程学院,兰州730070 [2]兰州城市学院数学学院,兰州730030

出　　处：《噪声与振动控制》2021年第3期14-20,共7页Noise and Vibration Control

基　　金：国家自然科学基金资助项目(11302092);甘肃省自然科学基金资助项目(18JR3RA225);甘肃省高等学校科研资助项目(2019A-134)。

摘　　要：针对单列圆柱滚子轴承,考虑Dankowicz动摩擦,简化得到一类含动摩擦的碰撞振动系统的动力学模型,并分析系统的运动过程,进而数值仿真研究激振频率变化对系统摩擦诱导擦边碰撞振动特性的影响和高低激振频率作用下间隙变化对系统摩擦诱导粘滑碰撞振动特性的影响。结果表明:在一定参数下,随着激振频率变化,系统发生Grazing分岔并出现摩擦诱导擦边碰撞运动、发生Neimark-Sacher分岔并经锁相进入混沌运动和系统从周期运动经Bare-grazing分岔进入混沌运动等复杂的动力学特性。随着间隙的变化,在低频时,系统发生Neimark-Sacher分岔、周期倍化分岔、Sliding分岔、Grazing分岔和Bare-grazing分岔等多种分岔行为,呈现出周期与混沌运动相互转迁的复杂动力学特性,在高频时,系统以周期运动为主,混沌窗口减少。Considering the dynamic friction of Dankowicz,the single row cylindrical roller bearing was simplified to a dynamic model of the impact vibration system.The motion process of the system was analyzed.The influence of excitation frequency variation on the friction-induced edge impact vibration characteristics of the system and the influence of the gap change on the friction-induced stick slip impact vibration characteristics of the system under the action of high and low excitation frequencies were studied by numerical simulation.The results showed that under the certain parameters,there exist some complex dynamic characteristics in the system with the change of excitation frequency.For example,there exists Grazing bifurcation which results in friction-induced stick slip impact motion;there also exists Neimark-Sacher bifurcation which changes the system from phase locking to chaotic motion;and the system changes from periodic motion to chaotic motion through the Bare-grazing bifurcation.With the change of the gap,the Neimark-Sacher bifurcation,period-doubling bifurcation,Sliding bifurcation,Grazing bifurcation and Bare-grazing bifurcation will occur in the system at low frequencies,which shows the complex dynamic characteristics of the transition between periodic and chaotic motions.At high frequency,the system is dominated by periodic motion and the chaotic window is reduced.

关 键 词：振动与波 摩擦诱导振动 擦边碰撞 Dankowicz动摩擦 分岔 混沌 

分 类 号：O322[理学—一般力学与力学基础] TH113.1[理学—力学]