考虑失稳模式的环肋圆柱壳结构优化设计

摘要/Abstract

摘要：

利用ANSYS参数化建模与遗传算法相结合的方法进行结构优化，研究了总长和半径一定的环肋圆柱壳以质量最轻为设计目标，满足强度和稳定性要求的最优壳体厚度、肋骨尺寸及肋距的优化设计问题.为了解决优化设计过程中难以确定稳定性约束条件而导致优化结果并非全局最优解的问题，提出了基于ANSYS路径映射技术与MATLAB根增量搜索方法相结合的判断方法，以自动判断优化过程中模型的失稳模式，并通过环肋圆柱壳的优化设计实例验证其有效性.结果表明，所提出的失稳模式判断方法有效可行，优化算法能够在较短时间内收敛到全局最优解.

关键词: 环肋圆柱壳, 失稳模式, 遗传算法, 优化设计

Abstract:

Under the constraint requirements of strength and stability, the ANSYS parametric model and genetic algorithm were utilized to optimize the ring-stiffened cylindrical shell. With the constant length and radius of the shell, the minimum weight was considered as the optimal objective, while the optimal variables are shell thickness, frame dimensions, and frame spacing. During optimization, the difficulty in identifying the stability constraints may lead to the fact that the obtained optimal results may not be the global optimal solution. In order to solve this problem, a method for judging instability mode of ring-stiffened cylindrical shell based on the ANSYS path mapping technology combined with incremental search method was proposed and validated by using the optimal results of ringstiffened cylindrical shell. The results indicate that the proposed method to judge instability mode is effective and the optimization algorithm can converge to the optimal results in a limited time.

Key words: ring-stiffened cylindrical shell, instability mode, genetic algorithm, optimal design

中图分类号:

U 674.941

王存福，赵敏，葛彤. 考虑失稳模式的环肋圆柱壳结构优化设计[J]. 上海交通大学学报（自然版）, 2014, 48(1): 56-63.

WANG Cunfu,ZHAO Min,GE Tong. Optimal Design of Ring-Stiffened Cylindrical Shell Considering Instability Mode[J]. Journal of Shanghai Jiaotong University, 2014, 48(1): 56-63.

参考文献

［1］Simitses G J, Aswani M. Minimumweight design of stiffened cylinders under hydrostatic pressure ［J］. Journal of Ship Research, 1977, 21 (4): 217224.

［2］Liang C C, Ching Y H, Tsai H R. Minimum weight design of submersible pressure hull under hydrostatic pressure ［J］. Computers and Structures, 1997, 63 (2): 187121.

［3］Jaunky N, Knight Jr N F, Ambur D R. Optimal design of general stiffened composite circular cylinders for global buckling with strength constraints ［J］. Composite Structures, 1998, 41 (34): 243252.

［4］陈美霞, 金宝燕, 陈乐佳. 基于APDL语言的加筋圆柱壳的静动态性能优化设计［J］. 舰船科学技术, 2008, 30 (3): 6468.

CHEN Meixia, JIN Baoyan, CHEN Lejia. Optimization design of static and dynamic characteristics of stiffened cylindrical shells based on APDL ［J］. Ship Science and Technology, 2008, 30 (3): 6468.

［5］Léné F, Duvaut G, OlivierMailhe M, et al. An advanced methodology for optimum design of a composite stiffened cylinder ［J］. Compos Struct, 2009，91 (4): 392397.

［6］Bagheri M, Jafari A A, Sadeghifar M. A genetic algorithm optimization of ringstiffened cylindrical shells for axial and radial buckling loads ［J］. Archive of Applied Mechanics, 2011, 81 (11): 16391649.

［7］Bagheri M, Jafari A A, Sadeghifar M. Multiobjective optimization of ring stiffened cylindrical shells

using a genetic algorithm ［J］. Journal of Sound and Vibration, 2011, 330 (3): 374384.

［8］Sadeghifar M, Bagheri M, Jafari A A. Multiobjective optimization of orthogonally stiffened cylindrical shells for minimum weight and maximum axial buckling load ［J］. ThinWalled Structures, 2010, 48 (12): 979988.

［9］龙连春, 赵斌, 陈兴华. 薄壁加筋圆柱壳稳定性分析及优化［J］. 北京工业大学学报, 2012, 38 (7): 9971003.

LONG Lianchun, ZHAO Bin, CHEN Xinghua. Buckling analysis and optimization of thinwalled stiffened cylindrical shell ［J］. Journal of Beijing Polytechnic University, 2012, 38 (7): 9971003.

［10］张伟, 张圣坤, 崔维成, 等. 目标可靠度约束下的潜艇耐压圆柱壳优化设计［J］. 上海交通大学学报, 1988, 32 (11): 9092.

ZHANG Wei, ZHANG Shengkun, CUI Weicheng, et al. Reliabilitybased optimal design of submarine cylindrical pressure hull ［J］. Journal of Shanghai Jiaotong University, 1988, 32 (11): 9092.

［11］GJB/Z21—1991, 潜艇结构设计计算规则［S］. 北京：国防科学技术工业委员会, 1992.

［12］石徳新, 王晓天. 潜艇强度［M］. 哈尔滨: 哈尔滨工程大学出版社, 2007.

［13］胡晓龙, 陈艾荣. ANSYS路径映射技术在结构分析中的应用［J］. 交通与计算机, 2003, 22 (3): 8689.

HU Xiaolong, CHEN Airong. Application of ANSYS path mapping technology to structure analysis ［J］. Computer and Communications, 2003, 22 (3): 8689.

［14］武杰. 环肋圆柱壳稳定性方程式特性探讨［J］. 中国造船, 1995 (1): 4552.

WU Jie. On characteristics of stability equation for a ringstiffened cylindrical shell ［J］. Shipbuliding of China, 1995 (1): 4552.

［15］谢祚水, 许辑平. 潜艇薄壁大半径圆柱壳的总稳定性［J］. 中国造船, 1994 (2): 8288.

XIE Zuoshui, XU Jiping. On the overall stability of submarine circular cylindrical shells with large diameters and thin thicknesses ［J］. Shipbuliding of China, 1994 (2): 8288.

［16］曾广武. 船舶结构优化设计［M］. 武汉: 华中科技大学出版社, 2004.

[1]	闫青, 鲁建厦, 江伟光, 邵益平, 汤洪涛, 李英德. 考虑双端口布局的紧致化仓储系统堆垛机路径优化[J]. 上海交通大学学报, 2022, 56(7): 858-867.
[2]	周天颜, 冯小恩, 范云锋, 董诗音, 李玉庆, 金慧中. 避免防空火力过剩的地面兵力防御部署优化模型[J]. 空天防御, 2022, 5(4): 19-23.
[3]	王箫剑, 洪君, 陈晶华, 李鸿光. 基于参数化建模和响应面优化的箱体减重研究[J]. 空天防御, 2022, 5(4): 60-66.
[4]	王卓鑫, 赵海涛, 谢月涵, 任翰韬, 袁明清, 张博明, 陈吉安. 反向传播神经网络联合遗传算法对复合材料模量的预测[J]. 上海交通大学学报, 2022, 56(10): 1341-1348.
[5]	陶海红, 闫莹菲. 一种基于GA-CNN的网络化雷达节点遴选算法[J]. 空天防御, 2022, 5(1): 1-5.
[6]	周宇泰, 徐岳, 李宇, 蒋国韬. 基于遗传算法的干扰态势下三维雷达网优化布站方法[J]. 空天防御, 2022, 5(1): 52-59.
[7]	李翠明, 王宁, 张晨. 基于改进遗传算法的光伏板清洁分级任务规划[J]. 上海交通大学学报, 2021, 55(9): 1169-1174.
[8]	陶威, 刘钊, 许灿, 朱平. 三维正交机织复合材料翼子板多尺度可靠性优化设计[J]. 上海交通大学学报, 2021, 55(5): 615-623.
[9]	顾一凡, 赵文龙, 唐善军, 杨擎宇, 郑鑫. 分布式主/被动成像探测系统目标空间协同定位方法研究[J]. 空天防御, 2021, 4(4): 119-126.
[10]	卓鹏程, 严瑾, 郑美妹, 夏唐斌, 奚立峰. 面向滚动轴承全生命周期故障诊断的GA-OIHF Elman神经网络算法[J]. 上海交通大学学报, 2021, 55(10): 1255-1262.
[11]	王金凤, 陈璐, 杨雯慧. 考虑设备可用性约束的单机调度问题[J]. 上海交通大学学报, 2021, 55(1): 103-110.
[12]	谢颉, 张文光, 尹雪乐, 李伟. 基于正交试验方法的柔性神经电极优化设计[J]. 上海交通大学学报, 2020, 54(8): 785-791.
[13]	牛志华, 苑璨, 孔得宇. 计算周期序列k-错线性复杂度的混合遗传算法[J]. 上海交通大学学报, 2020, 54(6): 599-606.
[14]	康俊涛, 张亚州, 秦世强. 基于一种混合智能算法的有限元模型修正多解问题[J]. 上海交通大学学报, 2020, 54(6): 652-660.
[15]	王兰志, 李书新. 一种基于滑动铰点的快速起竖方法及优化设计[J]. 空天防御, 2020, 3(2): 24-28.