螺旋筋网格圆锥壳的结构参数优化分析  

Optimization Analysis of Structural Parameters of Conical Lattice Shells with Spiral and Ring Ribs

作　　者：周逸俊 刘永琦 王建炜[2] 杜冬[2] 聂国华[1] ZHOU Yijun;LIU Yongqi;WANG Jianwei;DU Dong;NIE Guohua(School of Aerospace Engineering and Applied Mechanics,Tongji University,Shanghai 200092,China;Shanghai Institute of Satellite Engineering,Shanghai 200241,China)

机构地区：[1]同济大学航空航天与力学学院,上海200092 [2]上海卫星工程研究所,上海200241

出　　处：《力学季刊》2024年第4期897-910,共14页Chinese Quarterly of Mechanics

基　　金：上海航天科技创新基金(SAST2021048)。

摘　　要：为了获得在给定力学约束下最轻质量的螺旋筋网格圆锥壳结构,本文给出了圆锥壳面上筋条等刚度线的解析形式,并通过参数化有限元建模与支持向量机回归(Support Vector Regression,SVR)方法结合NSGA-Ⅱ算法获得了最轻质量的结构参数.结果表明,基于SVR方法建立的代理模型对于螺旋肋网格壳结构的临界屈曲载荷的预测具有良好的可靠性.应用NSGA-Ⅱ结合参数化有限元建模方法可以有效分析结构的最轻质量参数.算例分析表明,采用等刚度设计的优化结构相较于传统短程线设计结构在减重上有了较大提升.This paper presents an analytical form of equivalent stiffness lines on the surface of a conical lattice shell with spiral and ring ribs to obtain the lightest weight grid stiffened shell structure under prescribed mechanical constraints.The lightest weight structural parameters are obtained through parameterized finite element modeling and SVR(Support Vector Regression)method combined with NSGA-II(Non-dominated Sorting Genetic Algorithm-Ⅱ)algorithm.The results indicate that the surrogate model based on the SVR method has good reliability in predicting the critical buckling load of grid reinforced shell structures.The method of NSGA-II combined with parameterized finite element modeling can be used to effectively obtain the lightest mass parameters of the structure.Compared to the original geodesic structural design,the utilization of equal stiffness design can significantly improve the weight reduction of the structures.

关 键 词：网格圆锥壳 屈曲 等刚度设计 代理模型 参数优化 

分 类 号：O342[理学—固体力学]