考虑摆线轮齿廓修形的RV减速器齿轮结构多目标优化设计

Multi-objective Optimization Design of RV Reducer Considering the Cycloid Gear Profile Modification

针对RV减速器结构设计过程中未考虑摆线轮齿廓修形对接触力变化的影响,提出了一种考虑摆线轮齿廓修形的RV减速器结构多目标优化设计方法。将齿廓修形理论与摆线轮接触应力计算结合起来,考虑体积、效率、接触应力等因素,建立了以体积小、效率高、摆线轮接触应力小为多目标函数的优化数学模型,采用NSGA-Ⅱ算法进行求解,并与单目标优化方法进行比较。研究结果表明:相比于原始设计,RV减速器体积减小了21. 24%,效率提高了2. 03%,摆线轮接触应力降低了20. 26%,同时,多目标优化方法相较于单目标优化方法具有更高的综合性能。

In view of the fact that the influence of cycloid gear profile modification on contact force is not taken into account in the structural design of RV reducer,a multi-objective optimization design method for the structure of RV reducer considering cycloid gear profile modification is proposed.Combining the theory of tooth profile modification with the calculation of contact stress of cycloidal gear,considering the factors of volume,efficiency and contact stress,an optimization mathematical model with small volume,high efficiency and low contact stress of cycloidal gear as multi-objective function is established.The solution is carried out by using NSGA-II algorithm,and compared with single-objective optimization method.The results show that compared with the original design,the volume of RV reducer decreases by 21.24%,the efficiency increases by 2.03%,and the contact stress of cycloid wheel decreases by 20.26%.Meanwhile,the multi-objective optimization method has higher comprehensive performance than the single-objective optimization method.