面向夹层结构柔顺度优化的代理模型辅助差分进化算法

打开文本图片集

关键词：夹层结构；昂贵优化；代理模型；差分进化算法

中图分类号：TP301

DOI：10.3969/j.issn.1004-132X.2026.03.011 开放科学（资源服务）标识码（OSID）：

Abstract：Sandwich structures were widely used in aerospace and other fields due to their high stifess-to-weight ratio characteristics. The calculation costs of compliance simulation analyses in optimization design processes were significantly higher than that of weight constraints. However，the existing ho mogeneous algorithms assumed that the objectives were equivalent to the costs of constraint evaluation， which led to poor optimization adaptability and low eficiency. Thus，a constraint-objective two-stage optimization framework was designed based on feasibility rate to match adaptive optimization direction for realtime optimization paths. In the first stage，adual offspring population collaborative optimization strategy of exploratory mutation-constraint relaxation screening and exploitative mutation-uncertainty screening was proposed to simultaneously enhance the level of constraint optimization and the reliability of the surrogate model，and the partial evaluation strategy was designed to save time-consuming objective evaluation. In the second stage，the search type was defined by combining feasible solution clustering analyses and dynamic threshold，and the surrogate model modeling and evolution strategy were adjusted adaptively. Under three classical loads，the proposed algorithm obtains optimal structures comparing with the gradient algorithm and other state-of-the-art algorithms of the same type，which confirms the effectiveness in practical applications.

Key words： sandwich structure;expensive optimization； surrogate model; diffrential evolution algo rithm

0 引言

夹层结构是由两个面板和一个芯材组成的复合结构，通常由蜂窝或泡沫材料制成[]。（剩余19208字）