有辐板阻尼的齿轮传动系统的复模态分析

On Complex Vibration Modes and Response in a Gcar System with Damping

本文以薄辐板加阻尼结构的航空齿轮传动系统为研究对象，建立了系统的动力学模型，进而用复模态分析方法求解了系统的复频率、复振型和因啮合刚度波动引起的自激振动响应．计算结果明确显示了辐板阻尼在齿轮副相对振动及辐扳扭振中的作用．

According to experimental measurement,the damping factor in torlsional vibration mode shape of damped gear webs could reach over 0.4.It makes the method of real modes in common use to give results whose errors are unaceeptably too large.The author establishes the dynarnlc model of gear system. The model includes pinion,hub and ring ofgear,masscs connected on input and output ends.In this model the tortional vibration of all elements in the system and radial vibration of the palr of gears are considered and the principal source of daniping is the damping of viscoelatic materials atteched on webs,which is treated as a torsional damper.Then the author adopts tbe complex vibration mode analyzing technique to deal with this model.Further,the author computcs the dynamic response of tbe damped gear sysem,The calculated results are found to be corresponding to the obscrvations given in some reporis on experiments with damping.