考虑制造误差的圆柱斜齿轮传动动力学计算与分析

Dynamic Calculation and Analysis of Cylindrical Helical Gear Transmission by Considering Manufacturing Error

制造误差是影响齿轮传动动态性能的不可忽略因素。在考虑时变啮合刚度、综合啮合误差和阻尼等非线性因素基础上,建立含有制造误差的六自由度斜齿轮动力学模型。采用蒙特卡洛法求解齿轮的制造误差,利用龙格卡库法求解建立的齿轮动力学模型,通过分析一对实际的啮合齿轮得到其传动动态特性。研究表明:制造误差是影响齿轮传动误差的最主要因素,齿轮的误差激励是影响高速重载齿轮动态特性的关键因素,对于高速重载齿轮需提高其制造精度以减小误差激励。

Manufacturing error affects the dynamic performance of gear transmission,which is a non-negligible factor.Based on the nonlinear factors such as time-varying meshing stiffness,integrated meshing error and damping,a six degree of freedom helical gear dynamic model with manufacturing error is formed in this paper.Monte Carlo method is used to solve the manufacturing error of the gear.The gear dynamics model established is solved by using the runge-kaku method,by analyzing a pair of actual meshing gears.The dynamic characteristics of transmission are obtained.The research shows that manufacturing error is the most important factor affecting the gear transmission error.The error excitation of gear is the key factor that affects the dynamic characteristics of high speed and heavy load gear.For high-speed heavy-duty gear,manufacturing accuracy should be improved to reduce error excitation.