本文根据谐波齿轮传动的近似啮合几何学,采用近似啮合设计计算公式,建立起优化设计的数学模型。且选取模数 m、柔轮壁厚δ、柔轮长度 l 和轮齿宽度 b 为设计变量;以柔轮和刚轮的体积之和为目标函数,同时,考虑到其约束条件。从而,建立起一个四维的、十四个不等式约束的优化设计问题。采用直接优化方法中的复合形法,对某谐波减速器进行最优化设计计算。通过编程电算,获得了较满意的最优化设计结果。 According to the approximate meshing geometry of harmonic gear drive, this paper adopts approximate meshing design formula and establishes the mathematical model of optimal design. The modulus m, the thickness δ of the flexspline, the length l of the flexspline and the width b of the tooth are design variables. The sum of the volumes of the flexspline and the runner is taken as the objective function, and the constraints are taken into account. Thus, the establishment of a four-dimensional, fourteen inequality constraints optimization design problems. Using the complex method in the direct optimization method, a harmonic reducer is optimized and calculated. Through programming calculation, get more satisfactory results of the optimal design.