Abstract The wave generator profile for harmonic drive was designed using a closed convex curve generated by the support function. An optimization model of the wave generator profile was established, and the objective function was defined to minimize the maximum circumferential stress of the flex spline assembled with the wave generator. Then the curvature difference of the flex spline neutral line and pure kinematic error were investigated considering different wave generator profiles. Finally, the finite element method was applied to establish the assembly model. The stress and deformation of the flex spline were analyzed, as well as the stress of the flexible bearing. Results show that the maximum circumferential stress of the flex spline with the proposed wave generator profile was significantly reduced compared to the harmonic gear with a traditional elliptic wave generator. The stress in the major axis region of the flex spline is distributed more evenly after assembly with the wave generator. And the maximum Von-Mise stress of the flexible bearing was obviously reduced, as well as the contact force for outer ring and rollers in the major axis region of the wave generator.

中文翻译：

---

基于支撑函数的谐波齿轮传动波发生器轮廓优化设计

摘要 谐波传动的波发生器轮廓是使用由支持函数生成的闭合凸曲线设计的。建立了波发生器轮廓的优化模型，并定义了目标函数以最小化与波发生器组装的柔轮的最大周向应力。然后研究了考虑不同波发生器轮廓的柔轮中性线的曲率差异和纯运动学误差。最后，应用有限元方法建立装配模型。分析了柔轮的应力和变形，以及柔性轴承的应力。结果表明，与具有传统椭圆波发生器的谐波齿轮相比，具有所提出的波发生器轮廓的柔轮的最大周向应力显着降低。与波发生器组装后，柔轮主轴区域的应力分布更均匀。并且柔性轴承的最大Von-Mise应力明显减小，波发生器长轴区域外圈和滚子的接触力也明显减小。