中文摘要：

运用拉格朗日方程建立了2K-H型行星轮系扭转振动动力学模型；在动坐标系中建立了2K-H型行星轮系平移-扭转耦合振动动力学模型，每个构件具有两个平移自由度和一个扭转自由度；建立了Ravingneaux型复合行星轮系在各个工况下的力学模型和数学模型，用来分析其自由振动特性，在MATLAB环境下运用GUI函数开发了齿轮传动系统动力学特性分析软件TVLab，以Ravingneaux型复合行星轮系为例，进行了动力学分析，结果表明此软件可以作为分析齿轮传动系统动力学特性的工具。

英文摘要：

The torsional vibration model of 2K-H type of planetary gear sets was developed based on the Lagrange equations. Then complex dynamic model was developed, in which the system coordinated rotate with the carrier. In the model, each component has one torsional degree of freedom and two translation degree of freedom. The dynamic models of the compound planetary gear set of Ravingneaux type were developed to predict the free vibration characteristics under different kinematic configurations resulting in different speed ratios. Making use of the functions in MATLAB, the analysis software （TVLab） was built based on the above research. Then the software was tested with the instances of compound planetary gear set of Ravingneaux type. The results show that the software is stable and efficient as an analysis tool of planetary gear sets.