双曲型法向圆弧齿轮传动的动力学分析

Dynamics analysis of hyperboloidal-type normal circular-arc gears

为探究啮合刚度、传动误差及侧隙对双曲型法向圆弧齿轮传动动态响应的影响,建立齿轮副的动力学方程,并在数值计算的基础上进行仿真分析。运用有限元方法,计算接触位置处的载荷及变形,并对时变啮合刚度、静态传动误差和侧隙进行量化分析。仿真结果表明:对振动位移响应影响最大的是侧隙,其次是时变啮合刚度;对动态啮合力影响最大的则是时变啮合刚度和侧隙。

To investigate the effects of meshing stiffness,transmission error,and backlash on the dynamic response of hyperboloidal-type normal circular-arc gears(HNCGs),a dynamical equation of the gear pair is established,and simulation analysis is conducted based on numerical calculations.The finite element method is used to calculate the load and deformation at the contact position,and a quantitative analysis of time-varying meshing stiffness(TVMS),static transmission error(STE),and backlash is performed.Simulation results show that backlash has the greatest impact on the vibration displacement response,followed by time-varying meshing stiffness;whereas the time-varying meshing stiffness and backlash have the most significant effects on the dynamic meshing force.