中文摘要：

少齿差星轮传动存在弹性啮合效应,其真实承载能力数倍于按传统齿轮设计理论所得的计算值。作者基于多齿弹性接触效应,以星轮核心单元啮合效率最大、体积最小以及内外齿轮等强度为优化目标,以齿轮基本参数为设计变量,建立了少齿差星轮传动多目标优化数学模型。优化结果表明：内外齿轮强度接近,啮合效率99.65%,结构体积下降29.3%。运用ANSYS Workbench对少齿差星轮进行静力学仿真,验证了多齿弹性接触效应载荷分配系数计算方法的正确性,同时得到轮齿的最大应力位置与理论计算一致、应力值误差均小于6%,满足工程精度要求,验证了多齿弹性啮合齿轮设计理论的正确性以及优化方案的合理性。

英文摘要：

Due to the elastic meshing effect existed in planetary reducer with small tooth number difference,its real carrying capacity is many times greater than the calculation value obtained by the traditional gear design theory. Therefore,based on the elastic multi- tooth contact effect,taking the basic parameters of gear as design variables,and a multi- objective optimization model of small tooth difference planetary drive is established,while targeting on maximum efficiency as well as smallest volume and the internal and external gear equal strength of the core unit of the planet wheel. The optimization results show that the internal and external gear strength is close enough,and the meshing efficiency raised to 99. 65%,construction volume decreased by29. 3%. The ANSYS Workbench is applied for the statics simulation of the planetary reducer with small tooth difference. The correctness of the multi- tooth elastic contact load distribution calculation method is verified.The maximum stress position and value is consistent with the theoretical calculation results with the error less than 6. 0%,meeting the engineering accuracy requirements. The validity of the multi- tooth elastic meshing gear design theory and reasonableness of optimization scheme are verified.