基于接触有限元的齿轮-转子系统动态特性分析

考虑齿轮-转子系统各部件的弹性，基于接触有限元理论提出一种能够高保真模拟齿轮副连续啮合过程的动态特性分析方法。该方法利用实体有限元进行系统建模，可体现各部件的结构特征；基于接触有限元进行啮合过程仿真，可模拟系统的时变刚度、啮合冲击等真实激励进而得到全面准确的响应信息。以一直齿轮-转子系统为例进行啮合过程的数值仿真，利用中心差分法求得系统各动力学参量在时域上的响应，通过中心距偏差、动态传递误差、动态接触力等参数分析系统的弯曲振动、扭转振动、齿轮副的啮合特性及其耦合关系。研究结果表明：考虑各部件尤其是转子的弹性后，系统的非线性振动特性显著，齿轮副啮合存在明显的双边冲击及脱啮现象。

Dynamic Characteristics Study of Geared Rotor System Using Contact Finite Element Analysis Method

Considering each component’s elasticity of geared rotor system, a method to simulate the continuous engagement of gear pairs is proposed based on the contact finite analysis. The model is built by solid finite element to analyze structural vibration characteristics. By using the contact finite analysis method to simulate the engagement, the actual excitation like time-varying mesh stiffness, meshing contact can be included in the model, then more comprehensive, accurate response characteristics can be obtained. Solid finite model of a spur geared rotor system is built to simulate the dynamic engagement of gear pairs based on the contact finite element analysis method; the time-domain response of kinetic parameters such as contact force is achieved by resolving the equation of motion. The deviation of center distance, dynamic transmission error and the contact force is used to study the lateral vibration, torsional vibration, the engagement characteristic and coupling relationships of these. The results show that the elasticity of each component especially the rotors have great affection on the dynamic behavior of the system through increasing the nonlinear vibration characteristics such as bilateral impact and disengage of the gear pair.