不同设计要求下钛合金双层加筋圆柱壳优化设计特性分析  

Analysis of optimization characteristics of titanium alloy double layer stiffened cylindrical shell structure under different design requirements

作　　者：李世强 朱时洋 和卫平[2] 刘均[1] 程远胜[1] LI Shiqiang;ZHU Shiyang;HE Weiping;LIU Jun;CHENG Yuansheng(School of Naval Architecture and Ocean Engineering,Huazhong University of Science and Technology,Wuhan 430074,China;Wuhan Second Ship Design and Research Institute,Wuhan 430205,China)

机构地区：[1]华中科技大学船舶与海洋工程学院,湖北武汉430074 [2]武汉第二船舶设计研究所,湖北武汉430205

出　　处：《中国舰船研究》2025年第2期317-328,共12页Chinese Journal of Ship Research

摘　　要：[目的]为探究不同长径比和不同计算压力下钛合金双层加筋圆柱壳优化设计方案的特性,建立钛合金双层加筋圆柱壳结构轻量化数学模型。[方法]基于Matlab建立遗传算法主控程序,采用有限元软件ANSYS进行极限承载能力计算校核,并对比分析不同长径比和不同计算压力下钛合金单、双层加筋圆柱壳优化方案的差异。[结果]结果显示,钛合金加筋圆柱壳优化设计存在2个临界计算压力,优化设计可分为3个优化类型,即极限承载能力约束控制优化设计的稳定性约束型、强度约束控制优化设计的强度约束型以及强度和极限承载能力约束共同控制优化设计的共同约束型。长径比越大,临界计算压力越大;在相同的计算压力和长径比下,双层壳优化方案的重量低于单层壳结构;在相同长径比下,双层壳优化设计的临界计算压力小于单层壳。[结论]研究成果可为钛合金双层加筋圆柱壳优化设计提供参考。[Objective]In order to explore the characteristics of optimization design schemes of titanium alloy double layer stiffened cylindrical shell structures under different length-to-diameter ratios and calculation pressures,a mathematical model for the lightweight optimization of such structures is established.[Method]The main control program of the genetic algorithm is established in MATLAB,and the ultimate bearing capacity is calculated and checked by finite element software ANSYS.The differences of optimization schemes between titanium alloy single layer stiffened cylindrical shells and titanium alloy double layer stiffened cylindrical shells under different length-to-diameter ratios and different calculation pressures are then compared and analyzed.[Results]There are two critical calculation pressures in the optimization design of titanium alloy stiffened cylindrical shells,and the optimization design is divided into three types:the stability constraint type of ultimate bearing capacity constraint control optimization design,the strength constraint type of strength constraint control optimization design,and the joint constraint type of strength and ultimate bearing capacity constraint joint control optimization design.The larger the length-to-diameter ratio,the greater the critical calculation pressure.Under the same calculation pressure and length-to-diameter ratio,the weight of the double layer shell optimization scheme is lighter than that of the single layer shell,and the critical calculation pressure of the double layer shell optimization design is smaller than that of the single layer shell under the same length-to-diameter ratio.[Conclusion]The results of this study can provide useful references for the optimization design of titanium alloy double layer stiffened cylindrical shell structures.

关 键 词：壳体 双层加筋圆柱壳 钛合金 结构优化 结构设计 长径比 计算压力 

分 类 号：U662[交通运输工程—船舶及航道工程]