摘要
边坡稳定性分析极限平衡法在求解安全系数时,需要对条块间内力引入假定条件或某些平衡条件在求解时得不到满足。分析这些不同的假设条件对于计算结果的影响,建立一个满足极限平衡原理和合理性条件的数值优化模型。引入载荷系数,利用载荷系数与安全系数之间的单调关系,将模型的求解转化为求解一系列线性规划问题,算法中不存在数值收敛问题,且可以求出安全系数的全局最优解。通过对模型各个约束条件的变化来模拟引入的假定条件,以此探讨各种假定条件或静力平衡条件的缺失对计算结果影响及某些常用方法引入的假定条件可能带来的误差。
Different inter-slice conditions and lacks of approximation for some equilibrium conditions are needed for slope stability analysis with different limit equilibrium methods. Errors exist when considering these assumptions in calculation. Therefore, it is important to understand the error range and the influences of the inter-slice assumptions on the safety factors. By introducing the load coefficient, a new method for slope stability analysis based on a series of linear programming problems is proposed. The method transforms the problem of estimating the lower-and-upper bounds for the slope stability of a series of linear programming problems, and the lower-and-upper bounds of safety coefficient using the functions of load＇s coefficient defined by linear programming are determined. In this method, no extra-assumptions are proposed; and the rational conditions are full employed. So the given estimation by the method will be more realistic and practical; and the influences of the inter-slice assumptions and equilibrium conditions on the slope stability are studied. These results will be useful for the better understanding of the different methods for slope stability analysis.
出处
《岩石力学与工程学报》
EI
CAS
CSCD
北大核心
2006年第12期2529-2536,共8页
Chinese Journal of Rock Mechanics and Engineering
基金
国家重点基础研究发展规划(973)项目(2002CB412706)
关键词
岩土力学
极限平衡
载荷系数
假定条件
rock and soil mechanics： limit equilibrium； load coefficient； assumption conditions
