边坡稳定制约下土石坝截面优化遗传算法
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摘要
为了实现土石坝的截面优化,基于坝体边坡极限平衡状态提出了一种易于施加特性约束条件和进行全局优化搜索的优化遗传算法.建立了以边坡稳定为约束条件的多工况条件下的土石坝截面优化模型,并在Matlab平台上编制了基于极限平衡理论的土石坝坝坡稳定性分析程序以及优化程序,实现了均质土坝在渗流和地震作用等约束下最优截面的搜索.算例结果证明了该优化方法具有一定的有效性和可行性.
In order to realize the sectional optimization of earth-rockfill dam( ERD),an optimization genetic algorithm( GA),which could easily impose the characteristic constraint condition and perform the global optimization search,was proposed based on the limit equilibrium state of dam slope. A sectional optimization model for ERD under different operating conditions with taking the slope stability as the constraint condition was established. The analysis and optimization programs for the slope stability of ERD based on the limit equilibrium state were compiled on the M atlab platform. The search of optimum section of homogeneous ERD under such constraints as earthquake and seepage can be realized. Furthermore,the effectiveness and reliability of the proposed algorithm is proved with the practical example.
In order to realize the sectional optimization of earth-rockfill dam( ERD),an optimization genetic algorithm( GA),which could easily impose the characteristic constraint condition and perform the global optimization search,was proposed based on the limit equilibrium state of dam slope. A sectional optimization model for ERD under different operating conditions with taking the slope stability as the constraint condition was established. The analysis and optimization programs for the slope stability of ERD based on the limit equilibrium state were compiled on the M atlab platform. The search of optimum section of homogeneous ERD under such constraints as earthquake and seepage can be realized. Furthermore,the effectiveness and reliability of the proposed algorithm is proved with the practical example.
引文
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[12]李南生,唐博,谈凤婕,等.基于统一强度理论的土石坝坝坡稳定分析遗传算法[J].岩土力学,2013,34(1):243-249.(LI Nan-sheng,TANG Bo,TAN Feng-jie,et al.Slope stability analysis of earth-rock dams based on unified strength criterion by genetic algorithm[J].Rock and Soil M echanics,2013,34(1):243-249.)
[13]边霞,米良.遗传算法理论及其应用研究进展[J].计算机应用研究,2010,27(7):2425-2434.(BIAN Xia,MI Liang.Development on genetics algorithm theory and its applications[J].Application Research of Computers,2010,27(7):2425-2434.)
[14]Lee S,Woo B H,Lee J.Self-stress design of tensegrity grid structures using genetic algorithm[J].International Journal of M echanical Sciences,2014,79:38-46.
[15]Tong C,Liu X B,Zeng Y Z.Research on analyzing earth rockfill dam seepage and slope stability[J].Advances M aterials and Research,2014,889/890:1379-1382.
[2]Cioffi F,Gallerano F.Multi-objective analysis of dam release flow s in rivers dow nstream from hydropow er reservoirs[J].Applied M athematical M odelling,2012,36(7):2868-2889.
[3]Sigmund O,Clausen P M.Topology optimization using a mixed formulation:an alternative w ay to solve pressure load problems[J].Computer M ethods in Applied M echanics and Engineering,2007,196(13/14/15/16):1874-1889.
[4]Fairbairn E M R,Silvoso M M,Filho R D T,et al.Optimization of mass concrete constructionusing genetic algorithms[J].Computers and Structures,2004,82(2):281-299.
[5]Li S Y,Zhao J H,Chen Y L,et al.Optimization research for ash dam cross section[J].Advances in Engineering Softw are,2005,36(2):109-113.
[6]Qi G.Optimized program design of gravity dam section[J].Procedia Engineering,2012,28:419-423.
[7]陈祖煜.岩质边坡稳定性分析:原理,方法,程序[M].北京:中国水电水利出版社,2005.(CHEN Zu-yu.Rock slope stability analysis:theory,methods and programs[M].Beijing:China Water&Pow er Press,2005.)
[8]Matsui T,San K C.Finite element slope stability analysis by shear strength reduction technique[J].Soils and Foundations,1992,32(1):59-70.
[9]中华人民共和国发展和改革委员会.DL/T 5395-2007碾压式土石坝设计规范[S].北京:中国电力出版社,2007.(The People’s Republic of China State Development and Reform Commission.DL/T 5395-2007 Design specification for rolled earth-rock fill dams[S].Beijing:China Electric Pow er Press,2007.)
[10]Leontieva A,Huacasi W.Mathematical programming approach for unconfined seepage flow problem[J].Engineering Analysis w ith Boundary Elements,2001,25(1):49-56.
[11]王丽梅,庞月,杜帅,等.基于遗传算法的直驱XY平台变增益交叉耦合控制[J].沈阳工业大学学报,2011,33(5):481-485.(WANG Li-mei,PANG Yue,DU Shuai,et al.Variable gain cross coupling control for direct-drive XY table based on genetic algorithm[J].Journal of Shenyang University of Technology,2011,33(5):481-485.)
[12]李南生,唐博,谈凤婕,等.基于统一强度理论的土石坝坝坡稳定分析遗传算法[J].岩土力学,2013,34(1):243-249.(LI Nan-sheng,TANG Bo,TAN Feng-jie,et al.Slope stability analysis of earth-rock dams based on unified strength criterion by genetic algorithm[J].Rock and Soil M echanics,2013,34(1):243-249.)
[13]边霞,米良.遗传算法理论及其应用研究进展[J].计算机应用研究,2010,27(7):2425-2434.(BIAN Xia,MI Liang.Development on genetics algorithm theory and its applications[J].Application Research of Computers,2010,27(7):2425-2434.)
[14]Lee S,Woo B H,Lee J.Self-stress design of tensegrity grid structures using genetic algorithm[J].International Journal of M echanical Sciences,2014,79:38-46.
[15]Tong C,Liu X B,Zeng Y Z.Research on analyzing earth rockfill dam seepage and slope stability[J].Advances M aterials and Research,2014,889/890:1379-1382.
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