遗传算法在边坡地震稳定性分析中的应用

英文篇名：Analysis method of slope stability in case of seismic action with the genetic algorithm
中文刊名：岩土力学
英文刊名：Rock and Soil Mechanics
作者：周圆π ; 李守巨 ; 刘迎曦 ; 何翔
英文作者：ZHOU Yuan-pai ; LI Shou-ju ; LIU Ying-xi ; HE Xiang (State Key Laboratory of Structural Analysis of Industrial Equipment ; Dalian University of Technology ; Dalian 116024 China)
中文关键词：遗传算法 ; 边坡地震稳定性 ; 拟静力法 ; 最危险滑动面 ; 最小安全系数
英文关键词：genetic algorithm ; slope stability in case of seismic action ; pseudo-static method ; most dangerous slip surface ; minimal safety factor
出版日期：2003-12-30
机构：大连理工大学工业装备结构分析国家重点实验室,大连理工大学工业装备结构分析国家重点实验室,大连理工大学工业装备结构分析国家重点实验室,大连理工大学工业装备结构分析国家重点实验室辽宁大连116024 ,辽宁大连116024 ,辽宁大连116024 ,辽宁大连116024
年：2003
期：S2
出版单位：岩土力学

摘要

基于遗传算法和拟静力简化毕肖普法提出搜索地震作用下最危险滑动面及相应的最小安全系数的方法。阐述了应用遗传算法搜索最危险滑动面的计算过程和原理。开发了基于遗传算法的拟静力简化毕肖普数值法的计算和数据处理程序。在固定一个出逸点的情况下,分别绘制了有地震作用及没有地震作用下的安全系数分布图。数值算例表明,所建立的基于遗传算法的岩土边坡地震稳定性分析方法,是一种全局优化搜索算法,能够有效克服经典搜索方法易陷入局部极小值的缺点。从安全系数分布图可以看出,地震对安全系数分布情况影响很小,但扩大了安全系数低值区。
Based on genetic algorithm and pseudo-static Bishop Simplified Method, searching methods for the most dangerous slip surface and the according minimal safety factor are introduced in this paper. The principle and the procedures of the computation are interpreted. Program for numerical computation and data process are developed basing on genetic algorithm and pseudo-static Bishop Simplified Method. Considering the case of fixed escaping point, the distribution map of safety factor on condition of both existing seismic loads and not existing seismic loads are plotted respectively. Numerical example shows that analyzing method of the slope stability based on the genetic algorithm is a global optimal procedure that can overcome the drawbacks of local optimum widely existing in classic searching methods. According to the safety factor distribution map, seismic load has limited impact on the distribution of the safety factor though expanding the low safety factor areas.

引文

[1]张天宝.四边形块元法和沉抗土坝的稳定分析[J].水利学报,1981,12:19-29.
    [2]张克绪,谢君斐.土动力学[M].北京:地震出版社1989.238-249.
    [3]阎中华.关于非均质土石坝圆弧滑动稳定安全系数极值分布问题的商榷[J].人民黄河,1980,(3):10-13.
    [4]PaulMcCombie,PhilipWilkinsonThe use of the simple genetic algorithm in finding the critical factor of safety in slope stability analysis[J].Computers andGeotechnics,2002,(29):699-714.
    [5]HuseinMalkawiA I,HassanW F,SarmaS K.Global search method for locating general slip surface usingMonteCarlo techniques[J].Journal ofGeotechnical andEnvironmentalEngineering,2001,127(8):88-98.
    [6]江见鲸.土建工程常用微机程序汇编[M].北京:水利电力出版社,1987.187-189.
    [7]李守巨,刘迎曦.基于模拟退火算法的边坡最小安全系数全局搜索方法[J].岩石力学与工程学报,2003,2:236-240.
    [8]HollandJ H.Adaptation in natural and artificial system[M].AnnArbor:TheUniversity ofMichiganPress,1975.
    [9]玄光男(日),程润伟.遗传算法与工程设计[M].北京:科学出版社,2000.1-30.
    [10]BishopA W,MorgenstemN.Stability coefficients slopes[J].Geotechnique,1960,10(4):129-150.
    [11]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.
    [12]邹广电.边坡稳定分析条分法的一个全局优化算法[J].岩土工程学报,2002,24(3):309-312.