一种自由搜索边坡最危险滑动面的新方法
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摘要
以边坡稳定性计算的Janbu条分法为基础,提出一种改进的遗传算法(MIGA),在无需对边坡滑动面形状进行假设的前提下能自由搜索最危险滑动面并计算其安全系数。MIGA法模拟了生物进化的过程,克服了传统方法容易陷入局部极小值的缺点,是一种全局优化算法,且具有比简单遗传算法(SGA)更高的搜索效率。在工程实例中,通过与其他方法进行对比分析,用MIGA法计算得到的安全系数最小,且搜索到的最危险滑动面最接近实际情况,证明了该方法的优越性。
Based on the Janbu slice method for the calculation of integral stability of slope,an improved genetic algorithm,named MIGA was proposed,which can freely search the most dangerous failure slope surface and calculate the corresponding minimum safety factor without supposing the geometric shape of the most dangerous non-circular failure surface.This improved genetic algorithm can simulate the genetic evolutionary process of organisms and avoids local minimum value compared with the classical methods.It is a global optimal algorithm,so it has higher searching efficiency than simple genetic algorithm(SGA).The safety factor calculated by MIGA is the least compared with that by other methods in engineering,and the most dangerous failure surface searched by MIGA agrees well with the reality,so its advantages are verified.
Based on the Janbu slice method for the calculation of integral stability of slope,an improved genetic algorithm,named MIGA was proposed,which can freely search the most dangerous failure slope surface and calculate the corresponding minimum safety factor without supposing the geometric shape of the most dangerous non-circular failure surface.This improved genetic algorithm can simulate the genetic evolutionary process of organisms and avoids local minimum value compared with the classical methods.It is a global optimal algorithm,so it has higher searching efficiency than simple genetic algorithm(SGA).The safety factor calculated by MIGA is the least compared with that by other methods in engineering,and the most dangerous failure surface searched by MIGA agrees well with the reality,so its advantages are verified.
引文
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[10]陈昌富,杨宇,龚晓南,等.基于遗传算法地震荷载作用下边坡稳定性分析水平条分法[J].岩石力学与工程学报,2003,22(11):1919 1923.CHEN Chang-fu,YANG Yu,GONG Xiao-nan,etal.Horizontal slice method of slope stability analysisunder seismic load based in genetic algorithm[J].Chinese Journal of Rock Mechanics and Engineering,2003,22(11):1919 1923.
[11]Bishop A W.The use of the slip circle in the stabilityanalysis of slopes[J].Geotechnique,1955(1):7 1.
[2]郑颖人,赵尚毅,时卫民,等.边坡稳定分析的一些进展[J].地下空间,2001,21(4):262 271.ZHENG Ying-ren,ZHAO Shang-yi,SHI Wei-ming,et al.Progress in analysis of slope stability[J].Under-ground Space,2001,21(4):262 271.
[3]Fredlund D G.Analytical methods for slope stabilityanalysis[C]//Proc of the Fourth Int Symposium onLandslides.1984:229 250.
[4]王成华,夏绪勇.边坡稳定分析中的临界滑动面搜索方法述评[J].四川建筑科学研究,2002,28(3):3439.WANG Cheng-hua,XIA Xu-yong.State of the art:methods for searching critical slip surface in slope sta-bility analysis[J].Building Science Research of Si-Chuan,2002,28(3):34 39.
[5]Holland J H.Adaptation in natural and artificial sys-tem[M].Ann Arbor:The University of MichiganPress,1975.
[6]周明,孙树栋.遗传算法原理及应用[M].北京:国防工业出版社,1999.ZHOU Ming,SUN Shu-dong.Genetic algorithm prin-ciple and application[M].Beijing:National DefenceIndustry Press,1999.
[7]肖专文,张奇志,梁力,等.遗传进化算法在边坡稳定性分析中的应用[J].岩土工程学报,1998,20(1):44 46.XIAO Zhuan-wen,ZHANG Qi-zhi,LIANG Li,et al.Application of genetic evolutionary algorithm for slopestability analysis[J].Chinese Journal of GeotechnicalEngineering,1998,20(1):44 46.
[8]孙君实.条分法的数值分析[J].岩土工程学报,1984,6(2):1 12.SUN Jun-shi.Numerical analysis of slice method[J].Chinese Journal of Geotechnical Engineering,1984,6(2):1 12.
[9]弥宏亮,陈祖煜.遗传算法在确定边坡稳定最小安全系数中的应用[J].岩土工程学报,2003,25(6):671675.MI Hong-liang,CHEN Zu-yu.Genetic algorithm usedin determining the global minimum factor of safety ofslopes[J].Chinese Journal of Geotechnical Engineer-ing,2003,25(6):671 675.
[10]陈昌富,杨宇,龚晓南,等.基于遗传算法地震荷载作用下边坡稳定性分析水平条分法[J].岩石力学与工程学报,2003,22(11):1919 1923.CHEN Chang-fu,YANG Yu,GONG Xiao-nan,etal.Horizontal slice method of slope stability analysisunder seismic load based in genetic algorithm[J].Chinese Journal of Rock Mechanics and Engineering,2003,22(11):1919 1923.
[11]Bishop A W.The use of the slip circle in the stabilityanalysis of slopes[J].Geotechnique,1955(1):7 1.
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