基于快速群搜索算法的双层球面网壳多目标优化
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摘要
提出一种新的群智能算法,即多目标快速群搜索优化(MQGSO)算法,以双层球面网壳为研究对象,进行结构节点最大位移最小化和结构质量最轻化的多目标优化设计,网壳优化后的Pareto前沿分布均匀且范围较广,分别对多目标优化和单目标优化后的结构进行多维地震作用时程响应分析。结果表明:多目标优化得到的结构优于单目标的优化结果,所提出的多目标快速群搜索算法能很好地实现复杂空间结构的多目标优化设计。
The multi-objective quick group search optimization(MQGSO)algorithm was applied to the optimal design of double-layer spherical shells.The optimization objectives were the minimum value of the maximum displacement and the weight of the structure.Taking the doublelayer spherical shells as an object,the Pareto frontier of the optimization example structure had the full and broader distribution.Corresponding to the multi-objective optimization results and the single-objective optimization results,the time history response analysis of optimized structure under multi-dimensional earthquake action was carried out.The results show that the multiobjective optimization results are better than those of the single-objective one.The dynamic characteristics of the double-layer shell example prove that the MQGSO algorithm can effectively deal with the multi-objective optimal design of complex spacial structures.
The multi-objective quick group search optimization(MQGSO)algorithm was applied to the optimal design of double-layer spherical shells.The optimization objectives were the minimum value of the maximum displacement and the weight of the structure.Taking the doublelayer spherical shells as an object,the Pareto frontier of the optimization example structure had the full and broader distribution.Corresponding to the multi-objective optimization results and the single-objective optimization results,the time history response analysis of optimized structure under multi-dimensional earthquake action was carried out.The results show that the multiobjective optimization results are better than those of the single-objective one.The dynamic characteristics of the double-layer shell example prove that the MQGSO algorithm can effectively deal with the multi-objective optimal design of complex spacial structures.
引文
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[15]刘锋,覃广,李丽娟.快速被动群搜索优化算法及其在空间结构中的应用[J].工程设计学报,2010,17(6):420-425.LIU Feng,QIN Guang,LI Li-juan.A Quick Group Search Optimizer with Passive Congregation and Its Application in Spatial Structures[J].Journal of Engineering Design,2010,17(6):420-425.
[16]袁亚湘.非线性优化计算方法[M].北京:科学出版社,2008.YUAN Ya-xiang.Nonlinear Optimization Calculation Method[M].Beijing:Science Press,2008.
[17]DEB K,AGRAWAL S,PRATBA A,et al.A Fast Elitist Non-dominated Sorting Genetic Algorithm for Multi-objective Optimization:NSGA-Ⅱ[J].IEEE Transactions on Evolutionary Computation,2002,6(2):182-197.
[2]LI L J,XIE Z H,GUO Y C,et al.Structural Optimization and Dynamic Analysis for Double-layer Spherical Reticulated Shell Structures[J].Journal of Constructional Steel Research,2006,62(10):943-949.
[3]KIM H,QUERIN O M,STEVEN G P.On the Development of Structural Optimisation and Its Relevance in Engineering Design[J].Design Studies,2002,23(1):85-102.
[4]叶继红,江季松.遗传算法在单层球壳动力响应优化中的应用[J].东南大学学报:自然科学版,2010,40(2):414-419.YE Ji-hong,JIANG Ji-song.Application of Genetic Algorithm in Dynamic Response Optimization of Single Layer Dome[J].Journal of Southeast University:Natural Science Edition,2010,40(2):414-419.
[5]周臻,孟少平,吴京.大跨拱支预应力网壳结构的模糊优化设计研究[J].工程力学,2012,29(2):129-134.ZHOU Zhen,MENG Shao-ping,WU Jing.Study on Fuzzy Optimization Design for Large-span Arch-suspended Prestressed Reticulated Shells[J].Engineering Mechanics,2012,29(2):129-134.
[6]刘文政,叶继红.基于遗传-模拟退火算法的单层球面网壳结构破坏模式优化[J].建筑结构学报,2013,34(5):33-42.LIU Wen-zheng,YE Ji-hong.Failure Mode Optimization of Single-layer Latticed Spherical Shells with Genetic-simulated Annealing Algorithm[J].Journal of Building Structures,2013,34(5):33-42.
[7]LI L J,LIU F.Group Search Optimization for Applications in Structural Design[M].Heidelberg:Springer,2011.
[8]黄冀卓,王湛.基于遗传算法的抗震钢框架多目标优化设计[J].力学学报,2007,39(3):389-397.HUANG Ji-zhuo,WANG Zhan.Multiobjective Optimization Design of Aseismic Steel Frames Using Genetic Algorithm[J].Chinese Journal of Theoretical and Applied Mechanics,2007,39(3):389-397.
[9]刘衍民,赵庆祯,隋常玲.基于动态多种群的多目标粒子群算法[J].计算机仿真,2011,28(5):241-245.LIU Yan-min,ZHAO Qing-zhen,SUI Chang-ling.Multi-objective Particle Swarm Optimizer Based on Dynamic Multi-swarm[J].Computer Simulation,2011,28(5):241-245.
[10]汪力,程剑兵,王显强,等.基于多目标粒子群算法的无源电力滤波器优化设计[J].电力系统保护与控制,2011,39(8):51-55.WANG Li,CHENG Jian-bing,WANG Xian-qiang,et al.Passive Power Filter Optimal Design Based on Multi-objective PSO Optimization Algorithm[J].Power System Protection and Control,2011,39(8):51-55.
[11]崔逊学.多目标进化算法及其应用[M].北京:国防工业出版社,2006.CUI Xun-xue.Multi-objective Evolutionary Algorithms and Their Applications[M].Beijing:National Defense Industry Press,2006.
[12]陈忠,谢能刚,张子明.结构多目标优化设计的合作博弈解法[J].工程力学,2009,26(4):32-37.CHEN Zhong,XIE Neng-gang,ZHANG Zi-ming.Cooperative Game Method for Structural Optimization with Multiple Objectives[J].Engineering Mechanics,2009,26(4):32-37.
[13]GB 50017—2003,钢结构设计规范[S].GB 50017—2003,Code for Design of Steel Structures[S].
[14]张成,吴慧,高博青.网架结构在地震下的失效模式及其数值表述[J].振动与冲击,2011,30(8):45-50.ZHANG Cheng,WU Hui,GAO Bo-qing.Failure Modes and Their Numerical Descriptions of Grid Structures Subjected to Earthquake[M].Journal of Vibration and Shock,2011,30(8):45-50.
[15]刘锋,覃广,李丽娟.快速被动群搜索优化算法及其在空间结构中的应用[J].工程设计学报,2010,17(6):420-425.LIU Feng,QIN Guang,LI Li-juan.A Quick Group Search Optimizer with Passive Congregation and Its Application in Spatial Structures[J].Journal of Engineering Design,2010,17(6):420-425.
[16]袁亚湘.非线性优化计算方法[M].北京:科学出版社,2008.YUAN Ya-xiang.Nonlinear Optimization Calculation Method[M].Beijing:Science Press,2008.
[17]DEB K,AGRAWAL S,PRATBA A,et al.A Fast Elitist Non-dominated Sorting Genetic Algorithm for Multi-objective Optimization:NSGA-Ⅱ[J].IEEE Transactions on Evolutionary Computation,2002,6(2):182-197.
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