基于投影优选法的结构静态位移多目标优化方法  

Multi-objective optimization method of structural static displacement based on projection priority selection method

作　　者：麻凯 孙建航 闫森康 陶炎 汪文涛 郭桂凯 MA Kai;SUN Jian-hang;YAN Sen-kang;TAO Yan;WANG Wen-tao;GUO Gui-kai(School of Mechanical and Aerospace Engineering,Jilin University,Changchun 130022,China)

机构地区：[1]吉林大学机械与航空航天工程学院,长春130022

出　　处：《吉林大学学报(工学版)》2025年第1期74-83,共10页Journal of Jilin University:Engineering and Technology Edition

基　　金：国家自然科学基金项目(51675216)。

摘　　要：本文提出了一种基于投影优选法的结构静态位移多目标优化方法。投影优选法是根据参数灵敏度向量在特定的多维子空间的投影角度和投影长度来对参数进行排序的参数选取方法。其中,本文采用的结构静态灵敏度的解析计算方法是结合Epsilon算法和改进的纽曼级数建立的。该多目标优化方法每步迭代都可按照给定的参数个数要求来选取合理的参数组合并得到对应参数的修改量,通过多次迭代计算得到优化解。该方法特别适用于限定参数个数的多目标结构优化问题。在算例中,使用该方法对一个桁架结构进行多目标优化。算例中还用随机选取的参数组与本文方法选定的参数组做优化结果对比。对比结果表明:应用本文方法的优化结果更理想。算例进一步证明了本文优化方法具有很高的工程应用价值。In this paper,a multi-objective optimization method of structural static displacement based on projection priority selection method is proposed.Projection priority selection method is a parameter selection method that sorts the parameters according to the projection angle and projection length of the parameter sensitivity vector in a specific multidimensional subspace.The structural static sensitivity is calculated by the analytical method based on Epsilon algorithm and improved Newman series.In each iteration of the optimization method,the reasonable combination of parameters can be selected according to the given number of parameters and the modification of the corresponding parameters can be obtained.The optimal solution can be obtained through multiple iterations.This method is especially suitable for solving multi-objective structural optimization problems with limited number of parameters.In the example,the proposed method is used for multi-objective optimization of a truss structure.The optimization results were compared between the randomly selected parameter group and the parameter group selected by the method in this paper.The results show that the optimization results of the Projection priority selection method are more ideal.Examples further prove that the proposed optimization method has high engineering application value.

关 键 词：固体力学 灵敏度分析 投影优选法 最优修改量 Epsilon算法 

分 类 号：O342[理学—固体力学]