多项式响应面代理模型在立柱结构优化中的应用  

Application of polynomial response surface surrogate model in the large column structure optimization

作　　者：崔宝珍[1] 孔维娜[1] 马恺[1] 

机构地区：[1]中北大学机械与动力工程学院,山西太原030051

出　　处：《机械设计》2017年第4期44-48,共5页Journal of Machine Design

基　　金：国家自然科学基金资助项目(50875247);山西省自然科学基金资助项目(2009011026-1);山西省研究生创新基金项目资助(2008072)

摘　　要：立柱结构是某设备升降系统的重要组成部分和承力部件。由于现有结构质量过大,给装配、运输带来很大不便。文中应用多项式响应面代理模型和遗传算法结合的优化方法对立柱进行优化,选取对立柱结构力学性能影响的较大参数为设计因素,利用正交试验设计获取样本点集构建出相应的等效应力代理模型和合位移代理模型。以质量最轻为优化目标,以代理模型小于允许值为约束条件,应用遗传算法对立柱结构进行优化。优化结果表明:优化后模型满足强度刚度设计要求,其质量减轻27.4%,优化运算时间有大幅度减少,具有一定的工程应用价值。Large column structure is a major part and the supporting part in the lifting system. The current structure is so heavy that they are hard to be assembled and transported. In this paper, the structure was optimized by combining polynomial response surface surrogate model and genetic algorithm. Select the parameters which have greater effect on the mechanical prop- erties as design factors, the orthogonal test design is used to obtain samples, then total displacement and equivalent stress sur- rogate model were obtained by sample point set. With the minimum weight as the optimization objective, and polynomial re- sponse surface total displacement surrogate model may not exceed the allowable value as constraint condition, the genetic algo- rithm is used to optimize the column structure. The results show that, the optimized model meets the design strength and stiff- ness requirement and its weight reduced 27.4%, and the operation time was greatly reduced too, the content of dissertation has engineering application value.

关 键 词：结构优化 参数化设计 有限元分析 代理模型 

分 类 号：TH123[机械工程—机械设计及理论]