基于图解-矩阵法行星齿轮传动系统运动学分析

Kinematic Analysis of Planetary Gear System based on Graphic-Matrix Method

对行星齿轮传动系统进行了基本单元划分,推导出基本运动单元的普遍速度和转矩方程,通过对速度和转矩方程的系数分析,建立了行星齿轮传动结构的图解模型以及方程系数与图解模型中参量的对应关系,提出了根据图解模型快速列出速度和转矩矩阵方程的图解分析法,为求解行星齿轮传动系统中各个运动学参量,提供了方便、快速、通用的方法。

Planetary gear system is divided into some fundamental kinematic units.The general speed and torque equations of fundamental kinematic units are proposed.By analyzing coefficients of speed and torque equations,a relationship between the coefficients and the parameters of graphic model is built.The graphic method is derived based on the graphic model which can quickly list speed and torque matrix equations.This method works out quickly and efficiently for a correct solution to the kinematic parameters of planetary geared systems.