扭矩波动对齿轮时变系统拍击门槛转速的影响

建立了具有时变啮合刚度的二级齿轮系统的动力学方程式,它是一个具有时变系数的线性动力系统。用算符分解算法(AOM)研究了扭矩波动和时变啮合刚度对拍击门槛转速的影响。根据计算结果发现,时变啮合刚度可以导致拍击;齿轮啮合频率等于派生系统的固有频率引起的共振是产生拍击的原因之一;低速端的扭矩波动对系统拍击门槛转速影响较小,而高速端的扭矩波动对拍击门槛转速影响较大;在大部分情况下,考虑时变啮合刚度的二次谐波分量后,拍击门槛转速稍有下降。

Influence of Torque Fluctuation on Rattling Threshold Speed of a Gear System with Time-varying Meshing Stiffness

The governing equation of a gear system with time-varying meshing stiffness is established.Because of the meshing stiffness of a gear pair,the governing equation denotes a linear dynamic system with periodic time-varying coefficient.A-operator method(AOM) is used to study the influence of the torque fluctuation and time-varying meshing stiffness on rattling threshold speed of the gear system.Calculation results show that time-varying meshing stiffness and torque fluctuation may cause the rattle,one of the reasons for which is the resonance caused by meshing frequency when it is equal to the inherent frequency of the derived system.The torque fluctuation on the higher speed shaft influences the rattling threshold speed more greatly than on the lower speed shaft.In many cases,when second components of meshing frequency are considered,rattling threshold speed will decrease a little.