考虑接触特性的面齿轮传动系统动态响应特性分析

摘要

In order to study the influence of various factors on the dynamic response characteristics of spur gear transmission system,based on the lumped parameter theory,the coupled dynamic mathematical model of the spur gear is established.Based on the technology of bearing contact simulation,the time-varying meshing stiffness of the gear pair is calculated.In the dynamic mathematical model,the elastic support,error and meshing damping are introduced.Using Runge-Kutta numerical integration method, the dynamic differential equation of multi degree of freedom of the gear is solved.The mathematical relationship between the error factors and the dynamic response characteristics of the system is established.The results show that the change of the time-varying meshing stiffness excitation of the gear pair causes the larger dynamic load change of the system.The micro displacement of the bending vibration in the x direction is larger than that in the z direction.With the increase of the damping ratio of the system,both the elastic support d and the transmission error decrease,w hich reduce the dynamic load coefficient.T he establishment,solution and analysis of the dynamic model of the system provide the theoretical basis for the development of the main reducer with face gear.%为研究面齿轮传动系统的动态响应特性,基于集中参数理论,建立了含弹性支撑变形、误差激励、啮合阻尼和时变啮合刚度激励因素的面齿轮弯扭耦合动态模型.基于承载接触仿真分析技术,计算了动态模型中面齿轮副的时变啮合刚度激励条件.采用Runge-Kutta数值计算方法,对系统多自由度的动力学微分方程进行求解,建立了各因素与系统动态响应特性的数学关系.结果表明:面齿轮副时变啮合刚度激励的变化会引起系统较大的动载荷变化;各齿轮在 x轴方向的弯曲振动微位移大于z 方向的弯曲振动微位移;系统啮合阻尼比增大、弹性支撑变小和传动误差激励副值减小可以有效降低系统动载系数副值.通过系统动力学模型的建立、求解和分析为含有面齿轮主减速器的研制提供理论依据.