Calculation of time-varying mesh stiffness of worm and helical gear transmission pair and analysis on its nonlinear dynamic characteristics
The worm and helical gear transmission pair is a form of cross-axis point contact transmission.It is important to explore the nonlinear dynamic behavior caused by time-varying meshing stiffness,meshing backlash,and errors,which helps re-duce vibration and noise.In this article,the potential energy method is used to modify and solve the worm and helical gear trans-mission pair's time-varying meshing stiffness in theory.The dynamic model is set up,with such factors as meshing backlash,comprehensive error,and time-varying meshing stiffness taken into consideration.The 4～5 order Runge-Kutta method is used to numerically solve the system's dynamic equation,and the dynamic characteristic curve is worked out.By combining the time-do-main plots,the Poincaré plots,and the FFT spectrograms,efforts are made to explore the influence of such factors as meshing backlash,damping ratio,and load on the transmission pair's vibration and impact state.The results show that a smaller error amplitude and a larger damping ratio ensure that the system runs steadily in constant periods.These results provide guidance to reduce the worm and helical gear transmission system's vibration and noise.
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