利用响应面法的高速齿轮轴多目标优化方法  

Multi-objective Optimization of High-speed Gear Shaft Using Response Surface Method

作　　者：黄柯 文永蓬[1,2] 周贤周 HUANG Ke;WEN Yongpeng;ZHOU Xianzhou(School of Urban Railway Transportation,Shanghai University of Engineering Science,Shanghai 201620,China;Shanghai Engineering Research Centre for Vibration and Noise Control Technologies in Railway Transportation,Shanghai 201620,China;Shanggu Turbomachinery Qidong Co.,Ltd.,Nantong 226200,Jiangsu,China)

机构地区：[1]上海工程技术大学城市轨道交通学院,上海201620 [2]上海市轨道交通振动与噪声控制技术工程研究中心,上海201620 [3]上鼓透平风机启东有限公司,江苏南通226200

出　　处：《机械科学与技术》2023年第7期1129-1139,共11页Mechanical Science and Technology for Aerospace Engineering

基　　金：国家自然科学基金项目(11472176);上海市自然科学基金项目(15ZR1419200);牵引动力国家重点实验室开放课题(TPL2103);上海市轨道交通结构耐久与系统安全重点实验室开放基金(R202204)。

摘　　要：以提升高速齿轮轴的运行安全性为目的,通过模态分析、参数灵敏度分析和实验设计,建立了高速齿轮轴参数化设计与响应面优化模型,利用多目标优化遗传算法对1阶、2阶临界转速及其对应最大振幅进行寻优,得到了Pareto最优解,实现了多参数耦合下的优化设计,得到了运行安全性较高的转子结构。结果表明:优化后1阶、2阶临界转速与工作转速的间隔降幅分别为22.9%,10.8%,满足转子安全设计要求;通过可靠性校验,1阶、2阶临界转速在优化后的可靠度分别为100%、99.02%,进一步证明了优化方法的正确性。For improving the operating safety of high-speed gear shafts,the parametric design and response surface optimization model of the high-speed gear shaft were established by the modal analysis,parameter sensitivity analysis and DOE.The MOGA was used to optimize the first and second critical speed and their corresponding maximum amplitudes,and the Pareto optimal solution set was obtained.The optimization design under the multi-parameter coupling was realized,and the rotor structure with high operation safety was obtained.The optimized results show that the intervals between the first and second order critical speeds and the working speed are reduced by 22.9%and 10.8%respectively,which meet the requirements of rotor safety design.Through reliability verification,the optimized reliability of the first and second order critical speeds are 100%and 99.02%respectively,which further proves the correctness of the optimal method.

关 键 词：高速齿轮轴 临界转速 响应面法 遗传算法 可靠性校验 

分 类 号：TH133.2[机械工程—机械制造及自动化]