双排行星齿轮变速机构的传动分析

基于矩阵理论对双排行星齿轮变速机构的行星排之间联结、换挡约束进行研究，提出用联结矩阵、约束矩阵和传动矩阵构建数学模型并使用MATLAB进行传动分析的方法。2种方式的联结形式所对应的联结矩阵可以确定机构所有可能的结构型式，据此得到双排行星齿轮变速机构全部型式谱图。用约束矩阵形成挡位矩阵，分别针对型谱中一元联结和二元联结2种方式的结构型式实例进行传动分析，得到2种五挡双排行星齿轮变速机构的结构方案。该型谱和基于矩阵与MATLAB的传动分析方法，为研究复杂行星齿轮机构和设计汽车自动变速器提供了新的途径。

The Analysis of the Tow- Row Planetary Gear Transmission

Research has been done on the coupling form between the two - row planetary gear train and the shift restriction based on the matrix, and then the method of establishing mathematics model has been presented to analyze the planetary gear transmission using MATLAB. The coupling - matrix, restriction - matrix and transmission matrix form the model. All coupling - matrices corresponding two kinds of the coupling form determine the planetary gear transmission model. The type - spectrum - chart of tow - row planetary gear train is plotted. Discussing the two examples in the type - spectrum - chart, two schemes of the five - shift transmission are obtained. The type spectrum and the method based on the matrix and MATLAB offers new approaches to the research of the complex planetary gear transmission and the design of the automatic transmission.