改进复合形法及其在堆石坝参数反演中的应用
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摘要
针对复合形法全局搜索能力不强以及对复杂的优化问题出现"最坏点映射失败"现象几率较高的局限性,将混沌优化方法和复合形法进行耦合,提出了基于混沌的改进复合形法。该方法充分利用了混沌运动的内在随机性、遍历性以及对初始条件敏感性等运动特性,通过引入混沌变量构造初始复合形、采用混沌序列生成映射系数初值以及加入混沌扰动处理映射失败等改进措施来提高全局搜索能力和降低映射失败的几率;编制了相应算法程序,并应用于冶勒沥青混凝土心墙堆石坝土体参数的反演分析。结果表明,该算法合理,收敛性和稳定性较好,收敛速度较快。
A modified complex method based on chaos optimization is put forward to overcome the limitations of basic complex method,weak global searching capability and high probability of mapping failure for complicated optimization problems.It uses the features of chaos such as inherent randomness,ergodicity and sensibility to initial condition and takes the measures of constructing an initial complex by introducing chaotic variables,generating initial mapping parameters by using chaotic sequence and handling mapping failure by adding chaotic variables to disturb the current state of the complex.An algorithm is worked out and applied to parameters back-analysis of the Yele asphalt concrete core rock-fill dam.The results of this method show improvements in stability and convergence rate.
A modified complex method based on chaos optimization is put forward to overcome the limitations of basic complex method,weak global searching capability and high probability of mapping failure for complicated optimization problems.It uses the features of chaos such as inherent randomness,ergodicity and sensibility to initial condition and takes the measures of constructing an initial complex by introducing chaotic variables,generating initial mapping parameters by using chaotic sequence and handling mapping failure by adding chaotic variables to disturb the current state of the complex.An algorithm is worked out and applied to parameters back-analysis of the Yele asphalt concrete core rock-fill dam.The results of this method show improvements in stability and convergence rate.
引文
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[16]陈昌富,吴子儒,龚晓南.复合形模拟退火算法及其在水泥土墙优化设计中的应用[J].岩土力学,2007,28(12):2543～2548.CHEN Changfu,WU Ziru,GONG Xiaonan.Complex simulated annealing and its application to optimization design of cement-soilretaining walls[J].Rock and Soil Mechanics,2007,28(12):2543～2548.(in Chinese)
[17]张晓洪,张均富,曾钰钰.一种复合形优化方法的改进算法[J].四川工业学院学报,2003,22(2):21～23.ZHANG Xiaohong,ZHANG Junfu,ZENG Juejue.An improved algorithm of complex method in optimization[J].Journal ofSichuan University of Science and Technology,2003,22(2):21～23.(in Chinese)
[18]李亮,迟世春,林皋.基于蚁群算法的复合形法及其在边坡稳定分析中的应用[J].岩土工程学报,2004,26(5):691～696.LI Liang,CHI Shichun,LIN Gao.The complex method based on ant colony algorithm and its application to the slope stabilityanalysis[J].Chinese Journal of Geotechnical Engineering,2004,26(5):691～696.(in Chinese)
[19]许莹莹.土石坝地基混凝土防渗墙应力变形数值模拟研究[D].南京:河海大学.2007.XU Yingying.Study of numerical simulation on stress and deformation of concrete anti-seepage wall of rockfill[D].Nanjing:HohaiUniversity.2007.(in Chinese)
[20]杨志法,王思敬,冯紫良,等.岩土工程反分析原理及应用[M].北京:地震出版社,2002.YANG Zhifa,WANG Sijing,FENG Ziliang,et al.Principle of back analysis and its application to geotechnical engineering[M].Beijing:Earthquake Press,2002.(in Chinese)
[2]Gode G,Maier G.Direct search solution of inverse problem in elastic-plasticity,identification of cohesion,friction angle and in-situstress by pressure tunnel tests[J].Int.J.Numerical Method in Engineering,1980,15(9):1823～1848.
[3]吴中如,顾冲时.大坝原型反分析及其应用[M].南京:江苏科学技术出版社,2000.WU Zhongru,GU Chongshi.Prototype back analysis and its application for dam[M].Nanjing:Jiangsu Phoenix Science Press,2000.(in Chinese)
[4]李亮,迟世春,林皋.粒子群优化复合形法求解复杂土坡最小安全系数[J].岩土力学,2005,26(9):1393～1398.LI Liang,CHI Shi-chun,LIN Gao.Improved complex method based on particle swarm optimization algorithm and its application toslope stability analysis[J].Rock and Soil Mechanics,2005,26(9):1393-1398.(in Chinese)
[5]田明俊,周晶.土石坝土体参数反演的一种新方法[J].土木工程学报,2005,38(8):118～122.TIAN Mingjun,ZHOU Jing.An inverse analysis of embankment dam parameters by using a virtual displacement method[J].ChinaCivil Engineering Journal,2005,38(8):118～122.(in Chinese)
[6]倪绍虎,肖明,王继伟.改进粒子群算法在地下工程反分析中的运用[J].武汉大学学报(工学版),2009,42(3):326～330.NI Shaohu,XIAO Ming,WANG Jiwei.Application for modified particle swarm optimization to back analysis of undergroundengineering[J].Engineering Journal of Wuhan University,2009,42(3):326～330.(in Chinese)
[7]席少霖,赵凤治.最优化计算方法[M].上海:上海科学技术出版社,1983.XI Shaolin,ZHAO Fengzhi.Optimization calculation method[M].Shanghai:Shanghai Phoenix Science Press,1983.(inChinese)
[8]朱俊高,殷宗泽.土体本构模型参数的优化确定[J].河海大学学报,1996,24(2):68～73.Zhu Jungao,Yin Zongze.Determining consitutive model parameters of soils with optimization[J].Journal of Hohai University,1996,24(2):68～73.(in Chinese)
[9]黄润生,黄浩.混沌及其应用(第二版)[M].武汉:武汉大学出版社,2005.HUANG Runsheng,HUANG Hao.Chaos and its application[M].Wuhan:Wuhan University Press,2005.(in Chinese)
[10]李兵,蒋慰孙.混沌优化方法及其应用[J].控制理论与应用,1997,14(4):612～615.LI Bing,JIANG Weisun.Chaos optimization method and its application[J].Control Theory and Applications,1997,14(4):613～615.(in Chinese)
[11]李金凤,杨启贵,徐卫亚.基于改进粒子群算法CHPSO-DS的面板坝堆石体力学参数反演[J].岩石力学与工程学报,2008,27(6):1229～1235.LI Jinfeng,YANG Qigui,XU Weiya.Back analyzing mechanical parameters of rockfill based on modified paraticle swarmoptimization CHPSO-DS[J].Chinese Journal of Rock Mechanics and Engineering,2008,27(6):1229～1235.(in Chinese)
[12]赵国忠,郑勇刚,顾元宪.结构设计中的混沌优化方法及其改进[J].计算力学学报,2005,22(1):64～68.ZHAO Guozhong,ZHENG Yonggang,GU Yuanxian.Chaos optimization method and improvement in structural designs[J].Chinese Journal of Computational Mechanics,2005,22(1):64～68.(in Chinese)
[13]陈刚,张林,陈健康,何显松.复合形法在拱坝结构可靠度分析中的应用[J].水利学报,2003(,2):98～101.CHEN Gang,ZHANG Lin,CHEN Jiankang,HE Xiansong.Application of the complex method for reliability analysis of arch dam[J].Journal of Hydraulic Engineering,2003(,2):98～101.(in Chinese)
[14]赵凤治,慰继英.约束最优化计算方法[M].北京:科学出版社,1991.ZHAO Fengzhi,WEI Jiying.Restraint optimization calculation method[M].Beijing:Science Press,1991.(in Chinese)
[15]李亮,迟世春,林皋.保持顶点多样性的复合形法及其在边坡稳定分析中的应用[J].计算力学学报,2006,23(3):363～367.LI Liang,CHI Shichun,LIN Gao.Complex method based on the maintenance of the diversity of the apex and its application to theslope stability analysis[J].Chinese Journal of Computational Mechanics,2006,23(3):363～367.(in Chinese)
[16]陈昌富,吴子儒,龚晓南.复合形模拟退火算法及其在水泥土墙优化设计中的应用[J].岩土力学,2007,28(12):2543～2548.CHEN Changfu,WU Ziru,GONG Xiaonan.Complex simulated annealing and its application to optimization design of cement-soilretaining walls[J].Rock and Soil Mechanics,2007,28(12):2543～2548.(in Chinese)
[17]张晓洪,张均富,曾钰钰.一种复合形优化方法的改进算法[J].四川工业学院学报,2003,22(2):21～23.ZHANG Xiaohong,ZHANG Junfu,ZENG Juejue.An improved algorithm of complex method in optimization[J].Journal ofSichuan University of Science and Technology,2003,22(2):21～23.(in Chinese)
[18]李亮,迟世春,林皋.基于蚁群算法的复合形法及其在边坡稳定分析中的应用[J].岩土工程学报,2004,26(5):691～696.LI Liang,CHI Shichun,LIN Gao.The complex method based on ant colony algorithm and its application to the slope stabilityanalysis[J].Chinese Journal of Geotechnical Engineering,2004,26(5):691～696.(in Chinese)
[19]许莹莹.土石坝地基混凝土防渗墙应力变形数值模拟研究[D].南京:河海大学.2007.XU Yingying.Study of numerical simulation on stress and deformation of concrete anti-seepage wall of rockfill[D].Nanjing:HohaiUniversity.2007.(in Chinese)
[20]杨志法,王思敬,冯紫良,等.岩土工程反分析原理及应用[M].北京:地震出版社,2002.YANG Zhifa,WANG Sijing,FENG Ziliang,et al.Principle of back analysis and its application to geotechnical engineering[M].Beijing:Earthquake Press,2002.(in Chinese)
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