基于包络理论的谐波传动共轭齿廓求解和啮合分析

针对数值求解谐波传动共轭齿廓推导复杂,不易求解等问题,运用一种根据柔轮运动轨迹包络的方法求解共轭齿廓,同时调整柔轮齿廓的沿轴向的不同齿高,使柔轮齿与共轭钢轮齿啮合时不发生干涉。为分析柔轮的齿根圆半径和转矩对柔轮应力的影响,通过Ansys Workbench建立了多体接触模型,探究了齿根圆半径和加载不同转矩对柔轮应力的影响规律。结果表明:柔轮应力对齿廓参数变化的敏感度高于所加载的转矩,因为谐波传动为多齿啮合传动,单个齿所受的应力较小,载荷对柔轮应力的影响相对小于齿廓参数的影响。

Conjugate tooth profile solution and meshing analysis of harmonic drive based on envelope theory

In order to solve the problem of complex derivation of conjugate tooth profile in harmonic drive,a method based on the trajectory envelope of flexspline is used to solve the conjugate tooth profile,and the different tooth height along the axial direction of the flexspline profile is adjusted to avoid interference between the flexible gear and the conjugate steel gear.In order to analyze the influence of tooth root circle radius and torque on the stress of flexspline,a multi-body contact model was established by ANSYS Workbench to explore the influence of root circle radius and torque on the stress of flexspline.The results show that the sensitivity of flexspline stress to tooth profile parameters is higher than that of torque,because harmonic drive is multi tooth meshing transmission,the stress of single tooth is smaller,and the influence of load on flexspline stress is less than that of tooth profile parameters.