Global optimization of classified composite laminated structures based on genetic algorithms
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摘要: 针对受力分布差异较大的层合板,提出了一种复合材料铺层分级遗传优化方法.通过将结构铺层分解成全局铺层和各个区域铺层的方式,在分区域设计铺层的同时兼顾区域间的连接与较高的计算效率.针对性设计基因编码和遗传算子,各铺层基因分别进行独立遗传优化.编写了基于经典层合板理论的层合板截面刚度矩阵子程序,结合有限元方法(FEM,Finite Element Method)实现对模型的力学分析计算,获取挠度、重量等作为目标函数参数,根据Tsai-Wu失效准则判断是否破坏作为限制条件.算例证明:铺层分级优化结果合理可信,承力效果较整体铺层优化结果更好.Abstract: A technique of global optimization aimed at composite laminated structures with high variety in distribution of stress was proposed. Under the consideration of connection and the efficiency of computation, the structure laminates were divided into regions with particular global layers and region layers on it. Special gene coding and operator were designed to match the design of division and genes of each region were treated separately in heredity. Combined with the finite element method (FEM), a subprogram written to simulate the stiff matrix of composite laminates based on classical lamination theory was used to analyze the model to get the deflection, weight and so on. as parameters of the object function and took the state whether the structure was failure or not judged by Tsai-Wu failure criterion as its condition. An example provided proves the optimized laminate structure reasonable and believable and having more efficiency in loading than one optimized in whole laminate.
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Key words:
- laminates /
- optimization /
- genetic algorithms /
- classification
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[1] Akbulut M,Sonmez F O.Design optimization of laminated composites using a new variant of simulated annealing[J].Computers and Structures,2011,89(17/18):1712-1724 [2] 晏飞,李为吉.基于自适应遗传算法的复合材料层合板铺层顺序优化方法[J].西北工业大学学报,2001,19(1):156-159 Yan Fei,Li Weiji.A stacking sequence optimization method of composite laminated panel based on an adaptive genetic algorithm[J].Journal of Northwestern Polytechnical University,2001,19(1):156-159(in Chinese) [3] 杨建国,李蓓智,俞蕾.基于免疫遗传算法的优化设计[J].机械设计,2002,19(9) 14-17 Yang Jianguo,Li Beizhi,Yu Lei.Optimization design based on genetic algorithm of Immunity[J].Journal of Machine Design,2002,19(9):14-17(in Chinese) [4] 鲁大伟,李书.应用免疫遗传算法优化设计层合板铺层顺序[J].北京航空航天大学学报,2005,31(2):247-250 Lu Dawei,Li Shu.Stacking secuence optimization of composite laminate applying genetic algorithm of immunity[J].Journal of Beijing University of Aeronautics and Astronautics,2005,31(2):247-250(in Chinese) [5] 任茶仙,张铎.复合材料层合结构铺层顺序优化设计的免疫遗传算法[J].强度与环境,2007,34(2):43-50 Ren Chaxian,Zhang Duo.Immunity genetic algorithm for stacking sequence optimization in composite laminated structures[J].Structure & Environment Engineering,2007,34(2):43-50(in Chinese) [6] 修英姝,崔德刚.复合材料层合板稳定性的铺层优化设计[J].工程力学,2005,22(6):212-216 Xiu Yingshu,Cui Degang.Plyoptimization design for stability of composite laminates[J].Engineering Mechanics,2005,22(6):212-216(in Chinese) [7] Almeida F S,Awruch A M.Design optimization of composite laminated structures using genetic algorithms and finite element analysis[J].Composite Structures,2009(88):443-454 [8] Park C H,Lee W I,Han W S.Improved genetic algorithm for multidisciplinary optimization of composite laminates[J].Comput Struct 2008,86(19/20):1894-1903 [9] 乔巍,姚卫星.复合材料加筋板铺层优化设计的等效弯曲刚度法[J].计算力学学报,2011,28(2):158-162 Qiao Wei,Yao Weixing.Equivalent bending stiffness method for stacking sequence optimization of composite stiffened panel[J].Chinese Journal of Computational Mechanics 2011,28(2):158-162(in Chinese) [10] Zehnder N,Ermanni P.A methodology for the global optimization of laminated composite structures[J].Composite Structures,2006(72):311-320 [11] 唐振杰,李玉龙.基于等效刚度矩阵的复合材料机翼盒段优化设计[J].南京航空航天大学学报,2011,43(4):521-525 Tang Zhenjie,Li Yulong.Optimization design for box of composite wing based on effective stiffness matrix[J].Journal of Nanjing University of Aeronautics and Astronautics,2011,43(4):521-525(in Chinese) [12] 王耀先,复合材料结构设计[M].北京:化学工业出版社,2001:83-87,34 Wang Yaoxian.Composite structure design[M].Beijing:Chemical Industry Press,2001:83-87,34(in Chinese) [13] Almeida F S,Awruch A M.Design optimization of composite laminated structures using genetic algorithms and finite element analysis[J].Composite Structures,2009(88):443-454 [14] Gen M,Cheng R.Optimal design of system reliability using intervel programming and genetic algorithms[J].Computers Ind Engng,1996,31(1/2):1-29 [15] Huang Zhengming,Inelastic and failure analysis of laminate structures by ABAQUS incorporated with a general constitutive relationship [J].Journal of Reinforced Plastics and Composites,2007,26(11):1135-1181
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