Fellenius法的一种新的解法  

A New Solution of Fellenius Method

作　　者：邱超 王平安[1] 刘建元 QIU Chao;WANG Pingan;LIU Jianyuan(College of Civil Engineering, Xi,an University of Architecture and Technology,Xi,an,Shaanxi 710055, China)

机构地区：[1]西安建筑科技大学土木工程学院,陕西西安710055

出　　处：《水利与建筑工程学报》2018年第1期174-177,共4页Journal of Water Resources and Architectural Engineering

摘　　要：Fellenius法作为一种经典的边坡稳定性分析方法,由于此法更加安全,故而在边坡工程中被广泛应用。为提高Fellenius法分析边坡稳定性的计算精度,避免得到局部最优解的缺陷,同时降低计算量,提出了Fellenius法的一种新的解法。通过引入竖向中心角,将安全系数表示为关于竖向中心角的解析表达式,将优化问题转换为多维有约束优化问题,利用MATLAB中专门求解该优化问题的Fmincon函数,编制了相关的程序,对边坡稳定性问题进行了优化。通过静力条件和动力条件下的算例分析,研究表明:解析法是条分法的下线解,新的解法具有更强的全局搜索能力和收敛能力。fellenius method is a classical solution which has been widely used in slope engineering due to its safety?In order to improve the computational accuracy,avoid the defect of local optimum solution and reduce the computational complexity of slope stability analysis by Fellenius method.A new solution of Fellenius method is proposed.The safety factor is expressed as the analytical expression of the vertical central angles,and the optimization problem is transformed into the multi-dimensional constrained nonlinear optimization problem,it can be solved well by using the fmincon function of MATIAB.Through the analysis of static and dynamic slopes,the results show that the analytic solution is the lower bound solution of the slice method,and the new method has stronger global searching ability and convergence ability.

关 键 词：边坡稳定性 Fellenius法 解析计算 MATLAB优化 

分 类 号：TU43[建筑科学—岩土工程]