改进的遗传算法在渡槽结构优化设计中的应用
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摘要
传统的遗传算法存在寻优效率较低、精度不高等缺点。为了解决这些问题,对传统遗传算法进行了改进——采用Fortran语言编制结构优化程序,并将改进后的遗传算法应用于大型预应力矩形渡槽优化设计中。通过对比原设计方案与优化方案的结构安全性及经济性,验证了优化设计方案具有显著的经济效益。结果表明,改进后的遗传算法提高了计算性能和优化效果。
Traditional genetic algorithm has defects such as low optimization efficiency and low precision.We improved this algorithm by compiling a structural optimization program through Fortran language.The improved genetic algorithm was applied to the optimization of the design for a large-scale prestressed rectangular aqueduct.By comparing the original design with the optimized design in terms of safety and economy,we verified the feasibility of the optimized scheme.It's proved that the optimized algorithm improves the convergence rate and accuracy of the solution.In the optimized design,each part of the aqueduct meets the stress and strain condition,and the three-dimensional mechanical behavior of the structure is more reasonable.The results demonstrate that the structural optimization reduces the construction costs and improves the structural behavior.
Traditional genetic algorithm has defects such as low optimization efficiency and low precision.We improved this algorithm by compiling a structural optimization program through Fortran language.The improved genetic algorithm was applied to the optimization of the design for a large-scale prestressed rectangular aqueduct.By comparing the original design with the optimized design in terms of safety and economy,we verified the feasibility of the optimized scheme.It's proved that the optimized algorithm improves the convergence rate and accuracy of the solution.In the optimized design,each part of the aqueduct meets the stress and strain condition,and the three-dimensional mechanical behavior of the structure is more reasonable.The results demonstrate that the structural optimization reduces the construction costs and improves the structural behavior.
引文
[1]陈兆兵,郭劲.基于SUMT法的光电桅杆结构参数优化[J].四川兵工学报,2010,31(2):114-115.(CHENZhao-bing,GUO Jin.Structural Parameter Optimizationof Optronics Mast by the Approach of SUMT[J].Journalof Sichuan Ordnance,2010,31(2):114-115.(in Chi-nese))
[2]李敏强,寇纪松,林丹,等.遗传算法的基本理论与应用[M].北京:科学出版社,2002.(LI Min-qiang,KOU Ji-song,LIN Dan,et al.Basic Theory and Applica-tion of Genetic Algorithm[M].Beijing:Science Press,2002.(in Chinese))
[3]KON Y D,KWON S B,JIN S B,et al.Convergence En-hance Genetic Algorithm with Successive Zooming Methodfor Solving Continuous Optimization Problems[J].Com-puters and Structures,2003,81(1):1715-1725.
[4]白新理,刘桂荣,王珺.改进遗传算法在渡槽优化设计中的应用[J].水利水运工程学报,2005,(2):60-62.(BAI Xin-li,LIU Gui-rong,WANG Jun.Application ofImproved Genetic Algorithm in Aqueduct Optimal Design[J].Hydro-Science and Engineering,2005,(2):60-62.(in Chinese))
[5]王亚子,贾利新.遗传算法的小生境技术改进[J].河南教育学院学报(自然科学版),2008,17(1):28-29.(WANG Ya-zi,JIA Li-xin.Improvement of Niche Skillon Genetic Algorithm[J].Journal of Henan Institute of Education(Natural Science),2008,17(1):28-29.(in Chinese))
[6]魏关锋,钱宇,姚平经.多流股换热器网络综合问题的优化算法设计[J].华南理工大学学报(自然科学版),2006,34(8):6-9.(WEI Guan-feng,QIAN Yu,YAO Ping-jing.Development of Optimization Algorithm for Synthesizing Multi-Stream Heat Exchanger Network[J].Journal of South China University of Technology(Natural Science Edition),2006,34(8):6-9.(in Chi-nese))
[7]董列奎.遗传算法在建筑结构优化设计中的应用研究[D].重庆:重庆大学,2003.(DONG Lie-kui.Study onDesign of Structural Optimization Based on Genetic Algo-rithm[D].Chongqing:Chongqing University,2003.(in Chinese))
[8]庞振勇.基于改进遗传算法的预应力钢结构优化设计[D].北京:北京工业大学,2003.(PANG Zhen-yong.Optimal Design of Pre-stressed Steel Structures by Im-proved Genetic Algorithms[D].Beijing:Beijing University of Technology,2003.(in Chinese))
[9]朱峰.遗传算法在离散变量结构优化中的应用及其改进方案综述[J].世界地震工程,2002,18(4):132-133.(ZHU Feng.Applications and Improved Schemes ofGenetic Algorithms in Structural Optimization with Discrete Variables[J].World Earthquake Engineering,2002,18(4):132-133.(in Chinese))
[10]张翌娜,娄彩红.遗传算法在渡槽优化设计中的应用[J].中国农村水利水电,2008,(6):121-123.(ZHANG Yi-na,LOU Cai-hong.Application of GeneticAlgorithm in Aqueduct Optimal Design[J].China RuralWater and Hydropower,2008,(6):121-123.(in Chinese))
[2]李敏强,寇纪松,林丹,等.遗传算法的基本理论与应用[M].北京:科学出版社,2002.(LI Min-qiang,KOU Ji-song,LIN Dan,et al.Basic Theory and Applica-tion of Genetic Algorithm[M].Beijing:Science Press,2002.(in Chinese))
[3]KON Y D,KWON S B,JIN S B,et al.Convergence En-hance Genetic Algorithm with Successive Zooming Methodfor Solving Continuous Optimization Problems[J].Com-puters and Structures,2003,81(1):1715-1725.
[4]白新理,刘桂荣,王珺.改进遗传算法在渡槽优化设计中的应用[J].水利水运工程学报,2005,(2):60-62.(BAI Xin-li,LIU Gui-rong,WANG Jun.Application ofImproved Genetic Algorithm in Aqueduct Optimal Design[J].Hydro-Science and Engineering,2005,(2):60-62.(in Chinese))
[5]王亚子,贾利新.遗传算法的小生境技术改进[J].河南教育学院学报(自然科学版),2008,17(1):28-29.(WANG Ya-zi,JIA Li-xin.Improvement of Niche Skillon Genetic Algorithm[J].Journal of Henan Institute of Education(Natural Science),2008,17(1):28-29.(in Chinese))
[6]魏关锋,钱宇,姚平经.多流股换热器网络综合问题的优化算法设计[J].华南理工大学学报(自然科学版),2006,34(8):6-9.(WEI Guan-feng,QIAN Yu,YAO Ping-jing.Development of Optimization Algorithm for Synthesizing Multi-Stream Heat Exchanger Network[J].Journal of South China University of Technology(Natural Science Edition),2006,34(8):6-9.(in Chi-nese))
[7]董列奎.遗传算法在建筑结构优化设计中的应用研究[D].重庆:重庆大学,2003.(DONG Lie-kui.Study onDesign of Structural Optimization Based on Genetic Algo-rithm[D].Chongqing:Chongqing University,2003.(in Chinese))
[8]庞振勇.基于改进遗传算法的预应力钢结构优化设计[D].北京:北京工业大学,2003.(PANG Zhen-yong.Optimal Design of Pre-stressed Steel Structures by Im-proved Genetic Algorithms[D].Beijing:Beijing University of Technology,2003.(in Chinese))
[9]朱峰.遗传算法在离散变量结构优化中的应用及其改进方案综述[J].世界地震工程,2002,18(4):132-133.(ZHU Feng.Applications and Improved Schemes ofGenetic Algorithms in Structural Optimization with Discrete Variables[J].World Earthquake Engineering,2002,18(4):132-133.(in Chinese))
[10]张翌娜,娄彩红.遗传算法在渡槽优化设计中的应用[J].中国农村水利水电,2008,(6):121-123.(ZHANG Yi-na,LOU Cai-hong.Application of GeneticAlgorithm in Aqueduct Optimal Design[J].China RuralWater and Hydropower,2008,(6):121-123.(in Chinese))
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