基于主从关联优化的产品族参数规划方法研究  

Research on Parametric Programming Method of Product Family Based on Master-Slave Association Optimization

作　　者：王相兵 杜全斌[1,2] 周航 苏全卫 WANG Xiang-bing;DU Quan-bin;ZHOU Hang;SU Quan-wei(He’nan Key Laboratory of Intelligent Manufacturing Equipment Integration for Super Hard Materials,He’nan Zhengzhou 4511911,China;School of Mechanical and electrical engineering,He’nan Mechanical and Electrical Vocational college,He’nan Zhengzhou 4511911,China)

机构地区：[1]河南省超硬材料智能制造装备集成重点实验室,河南郑州4511911 [2]河南机电职业学院机电工程学院,河南郑州4511911

出　　处：《机械设计与制造》2024年第5期119-125,共7页Machinery Design & Manufacture

基　　金：河南省高等学校重点科研项目(17A460011);河南省高等学校重点科研项目(20B460004)。

摘　　要：针对产品族优化设计中存在的共性与个性的相互依存、制约关系,研究面向产品族的主从关联的参数优化规划技术。建立基于灵敏度分析的产品族参数识别划分方法,根据产品族设计参数的主从关联特点,建立优化问题的双层规划模型。提出一种采用多项式响应面拟合和遗传算法相结合的混合算法实现双层规划,下层采用多项式响应面法将双层优化目标拟合成为单层优化目标,在上层实现产品族公共参数的优化,再通过上层可适应参数的松弛约束关系传递,在下层利用遗传算法实现变型产品的参数优化。以起重机卷筒组件产品族规划为例,基于所提出的主从关联优化方法,得到个性变型产品参数最优值,为起重机卷筒组件产品及类似产品的产品族优化设计提供一种方法借鉴。Aiming at the interdependence and restriction of commonality and individuality in product family optimization design,the parameter optimization planning technology of master-slave association for product family is studied.Based on sensitivity analysis,a method for identifying and dividing product family parameters is established,and a bilevel programming model for optimization problem is established according to the master-slave correlation characteristics of product family design parameters.In this paper,a hybrid algorithm combining polynomial response surface fitting and genetic algorithm is proposed to realize bi-level programming.In the lower layer,polynomial response surface method is used to fit the double-layer optimization objective into a single-layer optimization objective,and the optimization of common parameters of product family is realized in the upper layer.Then,the parameters of variant products are optimized by using genetic algorithm in the lower layer through the transfer of relaxation constraint relation of adaptive parameters in the upper layer.Taking the product family planning of crane drum compo-nents as an example,based on the proposed master-slave association optimization method,the optimal value of product param-eters of individual variant is obtained,which provides a reference for the product family optimization design of crane drum prod-ucts and similar products.

关 键 词：可适应参数 参数识别 变型产品 主从关联优化 多项式响应面拟合设计 遗传算法 

分 类 号：TH16[机械工程—机械制造及自动化] TH123