基于刚性块体系统的岩质边坡稳定性上限法研究

发布时间：2018-01-11 09:10

本文关键词：基于刚性块体系统的岩质边坡稳定性上限法研究　出处：《岩石力学与工程学报》2014年S1期 　论文类型：期刊论文

【摘要】：以块状岩质边坡为研究对象,将其离散为块体+结构面的几何系统。基于塑性极限分析上限定理并结合非线性数学规划方法,提出基于块体系统的岩质边坡稳定性分析上限法。该方法以块体、结构面的位移速率、转角速率为未知量,基于块体与结构面的变形协调方程,推导出满足关联流动法则的结构面塑性流动约束条件,结合结构面的屈服条件、块体平衡方程、边界条件以及附加约束条件,得到岩质边坡稳定性分析上限法求解超载系数、强度储备系数的非线性数学规划模型,并提出上限法非线性数学规划模型的求解策略。最后对3个经典算例进行分析,得到安全系数严格的上限解,并将计算结果与其他方法的结果进行比较,验证所提上限法的正确性。
[Abstract]:With the massive rock slope as the research object, the discrete block system. The geometry structure and the plastic limit analysis theory combined with the nonlinear mathematical programming method is proposed based on the upper bound method of rock slope stability analysis based on block system. In this method, the block, the displacement rate of structural plane, rotation rate unknown, block structure and the deformation coordination equation based on the structure, meet the surface plastic flow constraints of the associated flow rule is deduced, with the structure of the yield condition, block balance equation, boundary conditions and constraints, by solving the overload coefficient of upper bound method for rock slope stability analysis, a nonlinear mathematical programming model of strength reserve coefficient, and put forward the solving strategy of nonlinear mathematical programming model of upper bound method. At the end of the 3 classic example, upper safety coefficient of strict solution, and the meter The calculation results are compared with the results of other methods to verify the correctness of the upper bound method.

【作者单位】：昆明理工大学土木工程学院工程力学系;武汉大学水资源与水电工程科学国家重点实验室;昆明理工大学电力工程学院水电系;
【基金】：国家自然科学基金资助项目(51009074) 云南省应用基础研究计划项目(2008ZC028M)
【分类号】：TU457
【正文快照】： 1引言采用塑性极限分析上限法研究岩质边坡的极限承载力或稳定性问题,一直是近年来岩土工程领域研究的热点。从20世纪50年代D.C.Drucker等[1-2]提出极值理论以来,上限定理在岩土工程中得到了广泛应用。起初的研究者主要基于上限定理,并采用变分原理的思想求解岩土体的极限荷载

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