基于整体传递矩阵法的直齿啮合耦合单元传递矩阵研究

Coupling elements transfer matrix of spur teeth mating gear parallel rotors system based on the whole transmission method

对齿轮传动系统各转子间齿轮啮合效应进行了动力学分析,根据拉格朗日方程和达朗伯原理建立了系统的动力学方程,推导出平行轴直齿圆柱齿轮啮合耦合单元传递矩阵,进而建立了系统的整体传递矩阵,并编程代入整体边界条件求出了多转子轴系的临界转速.

By dynamic and mechanical analysis on teeth pair effects of gear system, the general force and general displacement vectors of gears can be coupled. According to D＇Alembert＇s principle and Lagrange＇s equations, the coupling elements transfer matrix of spur cylindrical gear teeth pair parallel rotor system is deduced, the whole transfer matrix of the system can be built. Substituting the boundary conditions into the equations, the critical speeds of the system can be obtained.