土坡稳定分析普遍极限平衡法数值解的理论及方法研究  

STUDY OF THEORY AND METHOD FOR NUMERICAL SOLUTION OF GENERAL LIMIT EQUILIBRIUM METHOD

作　　者：邹广电[1] 魏汝龙[1] 

机构地区：[1]南京水利科学研究院,江苏南京210024

出　　处：《岩石力学与工程学报》2006年第2期363-370,共8页Chinese Journal of Rock Mechanics and Engineering

摘　　要：现有的普遍极限平衡法沿用Morgenstern-Price法的条间力假设作为补充原则,然后分别求得整体力矩平衡和力平衡的安全系数分布图形,两者的交点即为边坡的安全系数。为改变这种求解方法,从更普遍和广义的角度着手,将条间力关系与安全系数的定义紧密结合,使条间力关系与安全系数融为一体,以此建立更为严格的普遍极限平衡法(GLE法)的理论及方法。同时,针对该理论及方法,构筑适用于任意滑裂面的数学模型和有效的数值模拟过程,从而给出普遍极限平衡法(GLE法)数值解的更为严格的数值方法。若干实例的分析证实所建立的理论及数值方法的正确性和可行性。In the conventional general limit equilibrium method, the inter-slice forces assumption of Morgenstern-Price is employed and the safety factor is calculated through the safety factor graphs of the moment equilibrium and the forces equilibrium. A new solution method is presented, in which the assumption about the inter-slice forces is discarded; and the calculation method of the safety factor in the conventional general limit equilibrium is not used either. Instead, the inter-slice forces is united with the definition of the safety factor. A mathematical model of slope stability analysis and an effective numerical simulation method are proposed. The feasibility of the new theory and method for numerical solution of general limit equilibrium method is finally verified with several practical examples.

关 键 词：边坡工程 普遍极限平衡法 条间力 任意滑裂面 模拟退火算法 

分 类 号：P642.22[天文地球—工程地质学]