基于一维搜索算法的张弦桁架离散变量优化
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摘要
本文采用Matlab语言编写张弦桁架结构模型程序,对张弦桁架在各荷载工况下的受力性能进行了分析;首先采用Matlab语言编写了张弦桁架结构各种约束条件程序,同时编写了基于离散变量的张弦桁架优化设计程序,采用基于离散变量的一维搜索优化算法对拟定的张弦桁架计算模型进行了优化,优化结果表明基于离散变量的一维搜索优化算法,由于目标函数和约束函数的单调性质,得到的解显然是最优解,而且优化结果可以直接应用于结构实际设计。最后,在确保编写的离散变量优化程序正确的前提下,对不同矢高的张弦桁架结构进行了离散变量优化设计,得出了最优矢高结论。
Truss string structure procedures were written in the language of Matlab,and performance of truss string structures was analyzed in all load cases.First,conditions of constraints for truss string structures were programmed in the language of Matlab,such as constraints on the strength and stability;and based on discrete variables,optimum program of truss string structure was coded,and a computation model was optimized by using this method,results indicate that the best solution not only can be received by using this method,but also the results can be applied to practical designs.In order to find the optimal value of rise,truss string structures of different rise were designed based on discrete variables.
Truss string structure procedures were written in the language of Matlab,and performance of truss string structures was analyzed in all load cases.First,conditions of constraints for truss string structures were programmed in the language of Matlab,such as constraints on the strength and stability;and based on discrete variables,optimum program of truss string structure was coded,and a computation model was optimized by using this method,results indicate that the best solution not only can be received by using this method,but also the results can be applied to practical designs.In order to find the optimal value of rise,truss string structures of different rise were designed based on discrete variables.
引文
[1]黄明鑫.大型张弦梁结构的设计与施工[M].山东:山东科学技术出版社,2005:14-15Huang Mingxin.Design and construction of large truss stringstructure[M].Shandong:Science and Technology Press ofShandong,2005:14-15(in Chinese)
[2]杨叔庸,孙文波,舒宣武,等.广州国际会议展览中心钢结构设计简介[C]∥第十届全国结构工程学术会议,2003Yang Shuyong,Sun Wenbo,Shu Xuanwu,et al.Guangzhouinternational convention and exhibition centre on the steelstructural design[C]∥The 12th National Covference onStructure Engineering,2003
[3]孙焕纯,柴山,等.离散变量结构优化设计[M].大连:大连理工大学出版社,1995:35-47SUN Huan-chun,CHAI Shan,et al.Structural optimizationdesign of discrete variation[M].Dalian:Dalian University ofTechnology Press,1995:35-47(in Chinese)
[4]Babuka I,Strouboulis T,Copps K.Optimization of finiteelement approximations:analysis of the optimal meshsequences in one dimension[J].Computer Methods in AppliedMechanics and Engineering,1997,150(1):89-108
[5]Tong W H,Liu G R.An optimization procedure for trussstructures with discrete design variables and dynamic constraints[J].Computers&Structures,2001,79(2):155-162
[6]许强松.采用粒子群算法对张弦桁架结构进行优化设计[D].广州:广州大学,2009:59-66Xu Qiangsong.Optimization design of truss string structureby using PSO[D].Guangzhou:Guangzhou University,2009:59-66(in Chinese)
[7]Murat Subasi,Necmettin Yildirim,Bünyamin Yildiz.Animprovement on Fibonacci search method in optimizationtheory[J].Applied Mathematics and Computation,2004,147(3):893-901
[8]Bünyamin Yildiz,Erdal Karaduman.On Fibonacci searchmethod with k-Lucas numbers[J].Applied Mathematics andComputation,2003,143(2):523-531
[9]王秀丽,刘永周.矢跨比和垂跨比对张弦立体桁架性能的影响分析[J].空间结构,2005,11(1):35-39Wang Xiuli,Liu Yongzhou.Influences of rise-to-span ratioand sag-to-span ratio on the prestressed spatial truss stringstructure[J].Spatial Structure,2005,11(1):35-39(inChinese)
[10]姚国红,刘树堂,康丽萍.单榀张弦桁架结构各因素的影响分析[J].河南科技大学学报(自然科学版),2008,29(2):65-70Yao Guohong,Liu Shutang,Kang Liping.Influence analysis offactors of single truss string structure[J].Journal of HenanUniversity of Science&Technology(Natural Science),2008,29(2):65-70(in Chinese)
[11]柯友华,陈波.张弦桁架结构的非线性地震响应及其参数分析[J].钢结构,2010,25(3):37-44Ke Youhua,Chen Bo.The nonlinear seismic response andparametric analysis of truss string structure[J].SteelConstruction,2010,25(3):37-44(in Chinese)
[12]侯贯泽.基于离散变量的张弦桁架截面优化设计[EB/OL].[2010-07-22].http:∥www.paper.edu.cnHou Guanze.Sizing optimization design of truss stringstructure based on discrete variable[EB/OL].[2010-07-22].http:∥www.paper.edu.cn
[2]杨叔庸,孙文波,舒宣武,等.广州国际会议展览中心钢结构设计简介[C]∥第十届全国结构工程学术会议,2003Yang Shuyong,Sun Wenbo,Shu Xuanwu,et al.Guangzhouinternational convention and exhibition centre on the steelstructural design[C]∥The 12th National Covference onStructure Engineering,2003
[3]孙焕纯,柴山,等.离散变量结构优化设计[M].大连:大连理工大学出版社,1995:35-47SUN Huan-chun,CHAI Shan,et al.Structural optimizationdesign of discrete variation[M].Dalian:Dalian University ofTechnology Press,1995:35-47(in Chinese)
[4]Babuka I,Strouboulis T,Copps K.Optimization of finiteelement approximations:analysis of the optimal meshsequences in one dimension[J].Computer Methods in AppliedMechanics and Engineering,1997,150(1):89-108
[5]Tong W H,Liu G R.An optimization procedure for trussstructures with discrete design variables and dynamic constraints[J].Computers&Structures,2001,79(2):155-162
[6]许强松.采用粒子群算法对张弦桁架结构进行优化设计[D].广州:广州大学,2009:59-66Xu Qiangsong.Optimization design of truss string structureby using PSO[D].Guangzhou:Guangzhou University,2009:59-66(in Chinese)
[7]Murat Subasi,Necmettin Yildirim,Bünyamin Yildiz.Animprovement on Fibonacci search method in optimizationtheory[J].Applied Mathematics and Computation,2004,147(3):893-901
[8]Bünyamin Yildiz,Erdal Karaduman.On Fibonacci searchmethod with k-Lucas numbers[J].Applied Mathematics andComputation,2003,143(2):523-531
[9]王秀丽,刘永周.矢跨比和垂跨比对张弦立体桁架性能的影响分析[J].空间结构,2005,11(1):35-39Wang Xiuli,Liu Yongzhou.Influences of rise-to-span ratioand sag-to-span ratio on the prestressed spatial truss stringstructure[J].Spatial Structure,2005,11(1):35-39(inChinese)
[10]姚国红,刘树堂,康丽萍.单榀张弦桁架结构各因素的影响分析[J].河南科技大学学报(自然科学版),2008,29(2):65-70Yao Guohong,Liu Shutang,Kang Liping.Influence analysis offactors of single truss string structure[J].Journal of HenanUniversity of Science&Technology(Natural Science),2008,29(2):65-70(in Chinese)
[11]柯友华,陈波.张弦桁架结构的非线性地震响应及其参数分析[J].钢结构,2010,25(3):37-44Ke Youhua,Chen Bo.The nonlinear seismic response andparametric analysis of truss string structure[J].SteelConstruction,2010,25(3):37-44(in Chinese)
[12]侯贯泽.基于离散变量的张弦桁架截面优化设计[EB/OL].[2010-07-22].http:∥www.paper.edu.cnHou Guanze.Sizing optimization design of truss stringstructure based on discrete variable[EB/OL].[2010-07-22].http:∥www.paper.edu.cn
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