非均质边坡上限分析的离散机构及应用

发布时间：2018-03-22 23:26

本文选题：边坡工程　切入点：非均质边坡　出处：《岩石力学与工程学报》2017年07期 　论文类型：期刊论文

【摘要】：针对非均质边坡,尤其是内摩擦角非均匀边坡的上限分析问题,提出一种新的上限机构。该机构基于滑动面离散的基本思想,采用点到点的方式生成速度间断面,并满足相关联流动法则要求以及几何均匀性条件。推导该机构内外功率的计算方程,并采用序列二次规划(SQP)算法和二分法联合求解边坡的临界高度。利用Matlab编制程序进行求解。将该机构结果与已有文献以及数值模拟结果进行对比,证明该机构在均质、各向异性、非均质等多种工况下均有良好的适用性。最后利用该机构分析内摩擦角随深度线性变化边坡的临界高度变化规律,结果表明内摩擦角非均匀系数对临界高度有显著影响。
[Abstract]:A new upper bound mechanism is proposed for the upper limit analysis of heterogeneous slopes, especially non-uniform slopes with internal friction angle. Based on the basic idea of discrete sliding surface, the mechanism generates the velocity discontinuity surface by point-to-point method. The equation of the internal and external power of the mechanism is derived, which meets the requirements of the associated flow rule and the geometric uniformity condition. The critical height of slope is solved by using the sequential quadratic programming (SQP) algorithm and the dichotomy method. The Matlab program is used to solve the problem. The results of this mechanism are compared with the previous literatures and numerical simulation results, and it is proved that the mechanism is homogeneous. Anisotropy, heterogeneity and other conditions have good applicability. Finally, the mechanism is used to analyze the critical height variation law of slope with linear variation of internal friction angle with depth. The results show that the non-uniform coefficient of internal friction angle has a significant effect on the critical height.
【作者单位】：合肥工业大学汽车与交通工程学院;法国国家科学研究院3SR实验室;中南大学土木工程学院;
【基金】：国家重点基础研究发展计划(973)项目(2013CB036004) 国家自然科学基金资助项目(51408180) 水利部公益性行业科研专项经费项目(201401063 02)~~
【分类号】：TU43

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