哈尔滨工程大学学报2026，Vol.47Issue(6)：1198-1206,9.DOI:10.11990/jheu.202508019
基于NSGA-Ⅱ与欧氏距离法的齿轮多目标综合修形设计
Multi-objective comprehensive modification design of gears based on NSGA-Ⅱ and Euclidean distance method
摘要
Abstract
The high torque and high-speed characteristics of new energy vehicle drive motors exacerbate vibra-tion,noise,and temperature rise in gear transmission systems.Tooth profile modification is an effective solution to these problems.However,existing modification designs primarily focus on improving a single performance aspect,lacking consideration for comprehensive multi-performance enhancement.To address this,a comprehensive cross-physics-field tooth profile modification design method for gears was proposed,combining the non-dominated sorting genetic algorithm Ⅱ with the Euclidean distance method.A mapping relationship was established between tooth profile modification parameters and cross-physics-field multi-performance indicators,such as load distribution coefficient,dynamic transmission error,and tooth surface flash temperature.Taking the maximum modification amount and modification index as design variables,with the goal of achieving optimal system multi-performance,a cross-physics-field multi-objective comprehensive modification optimization model was developed.The non-dominated sorting genetic algorithm Ⅱ was employed to obtain the Pareto solution set of design variables,and the Euclidean distance method was used to select the optimal modification parameters for comprehensive multi-objective performance.The results demonstrate that under the comprehensively optimal modification param-eters,the abrupt change value of the load distribution coefficient at key nodes on the meshing line decreased by 87%,the fluctuation range of dynamic transmission error was reduced by 85.6%,and the peak tooth surface flash temperature dropped by 27.8%,achieving comprehensive system performance improvement.The multi-objective comprehensive performance reached 93.3%of the optimal performance for each single objective.This study over-comes the limitations of single-objective modification and provides an effective cross-physics-field comprehensive modification design method for optimizing gear transmis-sion systems.关键词
齿轮传动系统/齿廓修形/多目标综合修形/非支配遗传算法/欧氏距离法/载荷分配系数/动态传递误差/齿面闪温分类
机械制造引用本文复制引用
何富华,罗彪,杨侨,向廷沂,唐德文,赵柏程..基于NSGA-Ⅱ与欧氏距离法的齿轮多目标综合修形设计[J].哈尔滨工程大学学报,2026,47(6):1198-1206,9.基金项目
湖南省教育厅重点项目(25A0320) （25A0320）
国家重点研发计划(2023YFC3010904) （2023YFC3010904）
湖南省自然科学基金项目(2025JJ60370). （2025JJ60370）
