齿轮耦合复杂转子系统弯扭耦合振动分析的轴单元法

针对存在非平行轴的多分支齿轮耦合复杂转子系统,基于子结构分析理论,将系统中的每一根轴视为单元,将齿轮啮合力视为单元的激振力,在局部坐标系中采用集总质量法建立该单元的振动方程;在系统总体坐标系中,将各单元的振动方程联立,形成齿轮耦合复杂转子系统弯扭耦合振动方程,通过数值求解,获得系统固有频率和动态响应。采用所提出的轴单元法,对某航空发动机启动系统进行了模态和强迫振动特性分析。 

Shaft Element Method for the Analysis of Lateral-Torsional Coupling Vibration of a Complex Gear-Rotor System

In the complex gear-rotor system with unparallel axes and multiple branches,based on sub-structure theory, each simple rotor was regarded as an axis element,and the gear meshing forces were considered as exciting forces of the element,then the vibration equations of all axes were established with lumped mass method in local coordinate system.In global coordinate system,all these vibration equations were synthesized to the lateral-torsional coupling vibration equation of the complex gear-rotor system.Through numerical calculation,the natural frequency and dynamic response of the system can be obtained.At last,the mode and lateral-torsional passive vibration of an aero-engine starting transmission system was analyzed with the axis element method proposed in this paper.