考虑支撑间隙的齿轮系统动力学响应分析  

Dynamic Response Analysis of Gear Systems with Support Clearance Considered

作　　者：张将[1,2] 秦训鹏[1,2] 陈浩冉 ZHANG Jiang;QIN Xun-peng;CHEN Hao-ran(College of Automotive Engineering, Wuhan University of Technology, Wuhan 430070, China;Key Laboratory of Modern Automobile Spare Parts Technology of Hubei Province,Wuhan 430070, China)

机构地区：[1]武汉理工大学汽车工程学院,武汉430070 [2]现代汽车零部件技术湖北省重点实验室,武汉430070

出　　处：《噪声与振动控制》2017年第5期50-54,159,共6页Noise and Vibration Control

基　　金：武汉理工大学研究生优秀学位论文培育资助项目(2016-YS-050)

摘　　要：以两轴式变速器三档传动齿轮为研究对象,对于通过花键与输出轴连接的从动齿轮,由于制造误差和装配误差,在其中心处所存在的支撑间隙必将影响齿轮传递动态特性,对此以二状态模型描述从动齿轮支撑处间隙副的接触状态及碰撞摩擦特性,建立考虑时变啮合刚度,齿侧间隙,综合齿频误差等非线性特性因素的运动微分方程,采用变步长Runge-Kutta法对状态方程进行数值求解,结合相图、Poincare截面和功率谱密度图,综合分析间隙值大小等因素对齿轮系统的动力学特性的影响。数值算例分析表明,随着间隙值的增大,齿轮啮合线的传递误差从单周期运动逐渐过渡到混沌运动,从动轮的位移响应经历了单周期-准周期-单周期的变化;间隙值过大时,间隙副出现明显的单边接触状态。The third grade gear pair of the twin-shaft transmission system is taken as the research object.The driven gear and the output shaft are connected by a spline.Due to the manufacturing error and the assembly error,the support clearance in the center of the driven gear is inevitable which will affect the dynamic characteristics of the gear transmission system.In this paper,the contact state and the friction characteristics of the connection between the gear and the transmission shaft are simulated by the double-state model.The dynamic differential equations are established considering the nonlinear factors such as time-varying meshing stiffness,backlash and comprehensive tooth frequency error.The state equations are solved by the Runge-Kutta method with variable step size.With the help of the phase diagram,Poincare section and power spectrum density diagram,the influences of the clearance on the dynamic characteristics of the gear system are analyzed.Numerical results of the example show that with the increase of the clearance,the transmission error on the gear meshing line changes gradually from single periodic motion to chaotic motion,the displacement response of the driven wheel changes from single periodic motion to quasi-periodic motion and then returns to single periodic motion.The clearance pair shows an obvious unilateral contact state when the clearance value is too large.

关 键 词：振动与波 齿轮系统 支撑间隙 非线性动力学 二状态法 

分 类 号：TH132.413[机械工程—机械制造及自动化] O322[理学—一般力学与力学基础]