非圆行星齿轮液压马达的动力学研究  

Study on the Dynamics of Non-circular Planetary Gear Hydraulic Motor

作　　者：魏爽[1] 李殿起[1] 刘光辉[1] Wei Shuang Li Dianqi Liu Guanghui(School of Mechanical Engineering, Shenyang University of Technology, Shenyang 110870, China)

机构地区：[1]沈阳工业大学机械工程学院,辽宁沈阳110870

出　　处：《机械传动》2017年第9期18-24,共7页Journal of Mechanical Transmission

基　　金：国家自然科学基金(51105257;51310105025);辽宁省高等学校杰出青年学者成长计划(LQJ2014012);中国博士后科学基金(2015M571327)

摘　　要：介绍了一种新型非圆齿轮液压马达的结构和工作原理。绘制出了该非圆行星齿轮系统中各个齿轮的节曲线以及齿廓图形。从非圆齿轮系统的动态性能出发,建立了非圆齿轮系统的扭振力学模型。模型中考虑了行星齿轮系统中各啮合齿轮的时变啮合刚度、啮合相位及齿轮副间隙。用Runge-Kutta方法对该系统的动力学微分方程进行了求解。以6~8类型的椭圆行星齿轮系统作为算例,得到该齿轮系统的时域响应,分析了间隙对该齿轮系统的动态特性的影响,为非圆齿轮马达的振动分析提供了理论依据。The structure and working principle of a new type of non - circular planetary gear hydraulic mo- tor are introduced. The pitch curve and tooth profile of each gear within non - circular planetary gear system are programmed. A torsional vibration model is built from the dynamic performance of non - circular planetary gear system. In the model, the time - varying meshing stiffness, meshing phase and backlash of the meshing gear pairs are considered. The dynamics differential equations are solved by using Runge - Kutta method. Taking the 6 -8 elliptical planetary gear system as example, the time domain response of gear system is obtained and the influence of the backlash on the dynamic characteristic of the system is analyzed, a theoretical basis for vibration analysis of non - circular gear motor is provided.

关 键 词：非圆齿轮马达 扭振力学模型 时域响应 动态特性 

分 类 号：TH137.51[机械工程—机械制造及自动化]