挡土墙库仑土压力的遗传算法求解分析
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摘要
在对破裂面上滑动土体静力极限平衡分析的基础上,建立了基于优化方法求解无黏性土、黏性土库仑土压力的自变量取值区间和目标函数模型,并采用遗传进化方法进行了实例求解分析。研究结果表明,遗传算法在计算挡土墙库仑主动土压力的过程中,收敛速度快、用时短,并具有较高的计算精度。算例1中5组无黏性土挡土墙的主动土压力的计算结果与经典库仑解析解非常接近,平均误差为1.748%,平均进化代数为15代。算例2中8组黏性土挡土墙的主动土压力计算结果与文献的解答非常吻合,平均误差仅为0.017%,平均进化代数为17.125代。遗传算法具有良好的适应性和强大的搜索性能,非常适合求解岩土工程优化问题。
Based on the static limit equilibrium analyses of sliding soil mass on rupture,the range of variable and the model of objective function are built to calculate the Coulomb earth pressure of cohesionless soil and cohesive soil by optimization method,and the genetic evolutionary method is used to carry out an example analytical solution.The results indicate that the genetic algorithm increases the convergence speed,shortens time and has high calculation precision in the process of calculating Coulomb active earth pressure on retaining wall.The numerical results of cohesionless soil active earth pressure on retaining wall about 5 groups from example 1 are very closer to the classical Coulomb solutions;the average error is 1.748 % and the average number of generation is 15.The numerical results of cohesive soil active earth pressure on retaining wall about 8 groups from example 2 also match well with the documents' solutions;the average error is only 0.017 %;and the average number of generation is 17.125.The genetic algorithm is very suitable for solving optimization problem of geotechnical engineering because of its good adaptability and strong search performance.
Based on the static limit equilibrium analyses of sliding soil mass on rupture,the range of variable and the model of objective function are built to calculate the Coulomb earth pressure of cohesionless soil and cohesive soil by optimization method,and the genetic evolutionary method is used to carry out an example analytical solution.The results indicate that the genetic algorithm increases the convergence speed,shortens time and has high calculation precision in the process of calculating Coulomb active earth pressure on retaining wall.The numerical results of cohesionless soil active earth pressure on retaining wall about 5 groups from example 1 are very closer to the classical Coulomb solutions;the average error is 1.748 % and the average number of generation is 15.The numerical results of cohesive soil active earth pressure on retaining wall about 8 groups from example 2 also match well with the documents' solutions;the average error is only 0.017 %;and the average number of generation is 17.125.The genetic algorithm is very suitable for solving optimization problem of geotechnical engineering because of its good adaptability and strong search performance.
引文
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[9]李守巨,上官子昌,刘迎曦.基于混合遗传算法岩土抗剪指标参数识别方法[J].岩石力学与工程学报,2005,24(4):676-680.LI Shou-ju,SHANGGUAN Zi-chang,LIU Yin-xi.Identification procedure for shear strength parameters of geotechnical materials using hybrid genetic algorithms[J].Chinese Journal of Rock Mechanics and Engineering,2005,24(4):676-680.
[10]陈希哲.土力学地基基础[M].北京:清华大学出版社,2004:203-215.
[11]卢廷浩.考虑黏聚力及墙背黏着力的主动土压力公式[J].岩土力学,2002,23(4):470-473.LU Ting-hao.A formula of active earth pressure including cohesion and adhesion[J].Rock and Soil Mechanics,2002,23(4):470-473.
[12]胡晓军.黏性土主动土压力库仑精确解的改进[J].岩土工程学报,2006,28(8):1049-1052.HU Xiao-jun.Improvement of Coulomb accurate solution of active earth pressure of cohesive soil[J].Chinese Journal of Geotechnical Engineering,2006,28(8):1049-1052.
[2]王奎华,阙仁波.改进的库尔曼图解法及其在土压力计算中的应用[J].岩土工程学报,2003,25(2):167-169.WANG Kui-hua,QUE Ren-bo.Ameliorated Culmann’s graphical construction and its application to earth pressure calculation[J].Chinese Journal of Geotechnical En-gineering,2003,25(2):167-169.
[3]李兴高,刘维宁.Coulomb土压力理论的两种解法[J].岩土力学,2006,27(6):981-985.LI Xin-gao,LIU Wei-ning.Two methods to get the Coulomb earth pressure theory[J].Rock and SoilMechanics,2006,27(6):981-985.
[4]李小和,李兴高.库仑土压力的变分法研究[J].工程地质学报,2006,14(1):78-82.LI Xiao-he,LI Xin-gao.Study of the Coulomb earth pressure by variational method[J].Journal of Engineering Geology,2006,14(1):78-82.
[5]兑关锁,左晓宝.库仑土压力与破裂角公式的各种等价形式[J].南京理工大学学报,1999,23(3):270-272.DUI Guan-suo,ZUO Xiao-bao.Some equivalent formulae for Coulomb’s earth pressure and rupture angle[J].Journal of Nanjing University of Science and Technology,1999,23(3):270-272.
[6]黄健平.用优化法计算库仑土压力[J].路基工程,2006,(4):26-27.HUANG Jian-ping.Calculation of Coulomb’s earth pressure by optimization[J].Subgrade Engineering,2006,(4):26-27.
[7]陈昌富,杨宇,龚晓南.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.CHENG Chang-fu,YANG Yu,GONG Xiao-nan.Horizontal slice method of slope stability analysis under seismic load based on genetic algorithm[J].Chinese Journal of Rock Mechanics and Engineering,2003,22(11):1919-1923.
[8]赵同彬,谭云亮,刘传孝.基于遗传算法的巷道位移反分析研究[J].岩土力学,2004,25(增):107-109.ZHAO Tong-bin,TAN Yun-liang,LIU Chuan-xiao.Research on back-analysis of roadway displacement based on genetic algorithms[J].Rock and Soil Mechanics,2004,25(Supp.):107-109.
[9]李守巨,上官子昌,刘迎曦.基于混合遗传算法岩土抗剪指标参数识别方法[J].岩石力学与工程学报,2005,24(4):676-680.LI Shou-ju,SHANGGUAN Zi-chang,LIU Yin-xi.Identification procedure for shear strength parameters of geotechnical materials using hybrid genetic algorithms[J].Chinese Journal of Rock Mechanics and Engineering,2005,24(4):676-680.
[10]陈希哲.土力学地基基础[M].北京:清华大学出版社,2004:203-215.
[11]卢廷浩.考虑黏聚力及墙背黏着力的主动土压力公式[J].岩土力学,2002,23(4):470-473.LU Ting-hao.A formula of active earth pressure including cohesion and adhesion[J].Rock and Soil Mechanics,2002,23(4):470-473.
[12]胡晓军.黏性土主动土压力库仑精确解的改进[J].岩土工程学报,2006,28(8):1049-1052.HU Xiao-jun.Improvement of Coulomb accurate solution of active earth pressure of cohesive soil[J].Chinese Journal of Geotechnical Engineering,2006,28(8):1049-1052.
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