本文计论了具有单齿圈行星轮的3K 型传动优化设计问题。选取中心轮 a、u 个行星轮 g 和齿圈 b 的体积之和,建立其目标函数 F(x)。根据该3K 传动的传动比条件、装配条件和强度条件等,写出其不等式约束条件。先进行配齿和啮合参数计算,再将所得的连续变量最优解:模数 m~* 进行标准化处理和齿宽 b~*进行圆整处理。应用复合形法,通过电算实例,获得了较满意的结果。 In this paper, the optimization design of 3K transmission with single ring gear is discussed. Select the center wheel a, u planets g and the ring gear b and the volume of the establishment of its objective function F (x). According to the 3K transmission ratio conditions, assembly conditions and strength conditions, write the inequality constraints. First with the teeth and meshing parameter calculation, and then the optimal solution for continuous variables: modulus m ~ * for standardization and tooth width b ~ * for rounding. The application of complex method, through the computer examples, obtained more satisfactory results.