基于NSGA-Ⅱ与欧氏距离法的齿轮多目标综合修形设计OA
Multi-objective comprehensive modification design of gears based on NSGA-Ⅱ and Euclidean distance method
新能源汽车驱动电机的高扭矩与高转速特性加剧了齿轮传动系统的振动、噪声及温升问题,齿廓修形是解决以上问题的有效手段.然而,现有修形设计多聚焦单一性能的提升,缺乏对多性能综合提升的考量.本文提出了一种基于非支配遗传算法与欧氏距离法相结合的齿轮跨物理场综合修形设计方法;建立了齿廓修形参数与齿间载荷分配系数、动态传递误差及齿面闪温等跨物理场多性能指标之间的映射关系;以最大修形量与修形指数为设计变量,以系统多性能综合最优为目标,构建了系统跨物理场多目标综合修形优化模型,利用非支配遗传算法获得了设计变量的Pareto解集,通过欧氏距离法遴选出了多目标综合性能最优修形参数.研究结果表明,在综合最优修形参数下,啮合线上关键节点处的载荷分配系数突变值降低了87%,动态传递误差波动范围减小了85.6%,齿面闪温极值下降了27.8%,实现了系统性能的综合提升,其多目标综合性能达到各单目标最优性能的93.3%.本文克服了单目标修形的局限,为齿轮传动系统优化提供了一种有效的跨物理场综合修形设计方法.
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.
何富华;罗彪;杨侨;向廷沂;唐德文;赵柏程
南华大学 机械工程学院,湖南 衡阳 421001南华大学 机械工程学院,湖南 衡阳 421001||衡阳泰豪通信车辆有限公司,湖南 衡阳 421001南华大学 机械工程学院,湖南 衡阳 421001南华大学 机械工程学院,湖南 衡阳 421001南华大学 机械工程学院,湖南 衡阳 421001衡阳泰豪通信车辆有限公司,湖南 衡阳 421001
机械制造
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
《哈尔滨工程大学学报》 2026 (6)
1198-1206,9
湖南省教育厅重点项目(25A0320)国家重点研发计划(2023YFC3010904)湖南省自然科学基金项目(2025JJ60370).
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