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结合Kriging与改进NSGA-Ⅱ的RV减速器优化
引用本文:缪嘉成,李朝阳,陈兵奎. 结合Kriging与改进NSGA-Ⅱ的RV减速器优化[J]. 重庆大学学报(自然科学版), 2021, 44(2): 65-78. DOI: 10.11835/j.issn.1000-582X.2020.212
作者姓名:缪嘉成  李朝阳  陈兵奎
作者单位:重庆大学 机械机械传动国家重点实验室,重庆 400044;重庆大学 机械机械传动国家重点实验室,重庆 400044;重庆大学 机械机械传动国家重点实验室,重庆 400044
基金项目:国家重点研发计划智能机器人重点专项
摘    要:将体积、扭转刚度和传动效率作为优化目标,构建了RV减速器的多目标优化模型.为提高设计效率并节省计算开销,结合NXOpen C++与Abaqus Python二次开发技术,建立了部分扭转刚度的Kriging代理模型.为解决多目标混合整数非线性规划问题,提出了MP-NSGA-Ⅱ(mixed population-NSGA-Ⅱ)算法,改进了离散变量的编码方案.利用PySide2开发了一体化结构RV减速器设计软件,并分析了优化目标间的耦合关系.将熵权法选优后的结构参数与BAJ-25E比较,验证了该方法的有效性.

关 键 词:RV减速器  多目标混合整数非线性规划  MP-NSGA-Ⅱ算法  Kriging模型  熵权法
收稿时间:2019-06-10

Optimization of an RV reducer by integrating Kriging with improved NSGA-II
MIAO Jiacheng,LI Chaoyang,CHEN Bingkui. Optimization of an RV reducer by integrating Kriging with improved NSGA-II[J]. Journal of Chongqing University(Natural Science Edition), 2021, 44(2): 65-78. DOI: 10.11835/j.issn.1000-582X.2020.212
Authors:MIAO Jiacheng  LI Chaoyang  CHEN Bingkui
Affiliation:State Key Laboratory of Mechanical Transmission, Chongqing University, Chongqing 400044, P. R. China
Abstract:With the volume, torsional stiffness and transmission efficiency taken as the optimization objectives, a multi-objective optimization model of the RV reducer was constructed. To improve the design efficiency and save the computational cost, a Kriging surrogate model with a partial torsional stiffness was established based on the NXOpen C++ and the Abaqus Python secondary development technology. To solve the multi-objective mixed-integer nonlinear-programming problem, an MP-NSGA-II (mixed population-NSGA-II) algorithm was proposed, and the coding scheme for discrete variables was improved. An integrated RV reducer design software was developed by using PySide2, and the coupling relationship between optimization objectives was analyzed. The structural parameters selected by the entropy method were compared with BAJ-25E, and the effectiveness of this method was verified.
Keywords:RV reducer  MOMINLP  MP-NSGA-II algorithm  Kriging model  entropy method
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