齿轮传动转子系统弯扭耦合振动研究

摘要

In order to analyze vibration of geared rotor system, according to Finite element method and Lagrange method, gyroscopic effect and oil bearing was taken into consideration, a coupled lateral and torsional vibration model of rotor-bearing system was presented for analyze geared rotor vibration. The variation of mesh stiffness and mesh damping was taken into consideration, and the coupled lateral and torsional vibration model of gear pair system was established. Then, according to gear pair practical arrangement, the coordinate of rotor model and gear pair model was coupled and united by defining azimuth angle. A rotor-gear model which was closer to practice was obtained,and the critical speeds and models were calculated. The result shows that the critical speed of geared rotor is lower than single rotor's,and gear drive has obvious influence on rotor vibration.%为分析齿轮传动复杂轴系的振动问题,根据有限元法和拉格朗日法,考虑陀螺效应、油膜支承等因素,得到了转子-轴承系统的弯扭耦合振动模型；在此基础上,根据齿轮副运动过程中啮合刚度和啮合阻尼的变化,得到了齿轮副系统的弯扭耦合振动模型.然后,根据齿轮副的实际排列方式,引入方位角,使得转子模型与齿轮副模型坐标统一化,并将其耦合到一起,得到了更加接近实际的齿轮转子模型,并且计算了其临界转速和振型.研究结果表明,耦合后转子的临界转速低于单转子的临界转速,齿轮传动对转子轴系振动有着明显影响.