2K-H行星轮系均载设计浮动件选取原则

Selecting Principle of Floating Member of 2K-H Planetary Gear for Load Balancing Design

以2K-H行星轮系为对象,用解析方法研究制造装配误差条件下该行星轮系均载问题。给出载荷传递弹簧串并联力学模型,基于几何等量关系推导行星轮系均载与啮合间隙和齿轮啮合刚度的关系式。采用向量表达方法,推导制造误差和装配误差引起啮合齿对圆心偏动时、相互啮合齿对在啮合线上的间隙计算公式,依据间隙计算公式对浮动均载进行分析,得到浮动均载计算多元方程组,求解方程组给出如下结论:(1)当行星轮数n<3时,基本构件浮动可以补偿制造装配误差引起的轮系偏载。(2)当行星轮数n≥4时,行星轮的误差不能够通过基本构件的浮动来补偿,只能通过行星轮的浮动来补偿。同时给出了浮动量的理论计算方法,并进行了有限元仿真,有限元仿真结果与本文理论计算结果高度一致。

Taking the 2K- H planetary gear train as object,the load balancing problem caused by manufacturing and assembly errors of 2K- H planetary gear train is studied by using the analytical method. The spring series parallel mechanical model of load transfer is given,based on the geometric equivalent relationship,the relations between load balancing of planetary gears and mesh clearance,meshing stiffness are derived. The vector method is also used to deduce the calculation formula of the meshing clearance of mutually meshing tooth on the meshing line which is a result of the deviation of circle center caused by the manufacturing error and assembly error. On the basis of the meshing clearance calculation formula,the floating piece balance load is analyzed,the multivariate equations of load floating computing is obtained,to solve the equations,the following conclusion is given：（1） When the number of planet gears n 3,the gear train partial load of the basic member can be compensated by the error of the planet wheels.（2）When the number of planet gears n≥4,the errors of the planet wheels cannot be compensated by the basic components floating,only can be compensated through the floating planetary gear. At the same time,the method of theoretical calculation of the floating amount is given. And the finite element simulation is carried out,the results and the theoretical calculation results are highly consistent.