摘要
采用初等函数构造边坡的滑动面,可以大大减少滑动面的自由度,也有利于保证滑动面的光滑性质。在现有滑动面构造方法的基础上,本文进一步提出了用不同的基函数构造滑动面的一般性方法,使得滑动面的构造方式能够在统一的框架中进行,把一个几何问题转变为代数方法中基函数的参数选择问题。针对相关参数的约束条件,也给出了约束问题的处理方法。针对典型算例,采用5种基函数构造滑动面,用Morgenstern-Price方法计算其安全系数和失稳加速度。算例计算表明所推荐的基函数都能够满足要求,而且能够生成出传统方法所难以发现的滑动面。
The degrees of freedom of the slip surfaces of slopes,when generated using elementary functions,are reduced greatly and the surface smoothness can be guaranteed.Based on the existing theories,this paper presents a new general method for constructing slip surfaces using different base functions and achieving a unified framework for the generation.We transform the geometric problems involved in slip surface generation to determining the parameters of base functions in algebra,and recommend how to solve the constraint condition of the coefficients.Five base functions are suggested and are used in a classical example for slope stability analysis.Safety factors and instability acceleration are calculated using Morgenstern-Price method.Results show the base functions recommended by the authors meet the requirements and can even generate some special slip surfaces that cannot be achieved by traditional methods.
作者
介玉新
谢琪
周婷
JIE Yuxin;XIE Qi;ZHOU Ting(State Key Laboratory of Hydroscience and Engineering,Tsinghua University,Beijing 100084)
出处
《水力发电学报》
EI
CSCD
北大核心
2020年第12期16-24,共9页
Journal of Hydroelectric Engineering
基金
十三五国家重点研发计划(2017YFC0404803)
国家自然科学基金项目(41790434)
关键词
滑动面
边坡
初等函数
基函数
slip surface
slope
elementary function
base function
作者简介
介玉新(1970-),男,教授.E-mail:jieyx@tsinghua.edu.cn
