摘要
极限分析上限法在边坡稳定性分析中广泛应用。基于极限分析上限定理,针对一般几何形状的双层土质边坡,通过建立两段对数螺旋线滑面和引入土层分界变量,推导得到该破坏机制下外力功率及内部能量耗散功率的解析式;在求解过程中构建了关于土层分界变量的函数,结合最优化方法与强度折减技术,建立了以安全系数为求解目标的且含多元变量的非线性隐式方程,借助对土层分界参数与安全系数双变量的迭代求解方法,实现了体系内外功率的精确求解,进而得到适用于双层土质边坡的简便且易于实现的上限解答。依托若干典型算例,将所得结果与其它上限法、极限平衡法以及有限元强度折减法进行了对比分析,结果表明该方法合理可行。
The upper-bound theorem of limit analysis is widely used in slope stability analysis.Based on the upper limit theorem of limit analysis,for the two-layer soil slope with general geometry,by establishing two-segment logarithmic spiral slip surface and introducing soil boundary variables,the analytical formula of external force power and internal energy dissipation power under the failure mechanism is derived.In the process of solving,the function of the boundary variable of soil layer is constructed,and combined with the optimization method and the strength reduction technique,a nonlinear implicit equation with multivariate variables is constructed with the safety factor.The simplified solution of the internal and external power of the system is realized by selecting the iterative solution method of bivariate,and the upper limit solution of two-layer soil slope is obtained simply.Based on several typical examples,compared with other upper limit method,limit equilibrium method and numerical analysis method,the method presented in this paper is reasonable and feasible.
作者
王识
聂文峰
孙希望
李能
Wang Shi;Nie Wenfeng;Sun Xiwang;Li Neng(Kunming Survey,Design and Research Institute Co.,Ltd.,of CREEC,Kunming 650200,China)
出处
《科技通报》
2023年第1期67-73,共7页
Bulletin of Science and Technology
基金
中铁二院昆明勘察设计研究院科研项目(KY2021072901)
关键词
双层土质边坡
上限定理
对数螺旋线
稳定性分析
土层分界变量
heterogeneous slope
upper bound theorem
logarithmic spiral arc
stability analysis
soil boundary variable
作者简介
王识(1993-),男,云南弥勒县人,工学硕士,工程师,主要从事特殊路基的设计研究工作,E-mail:niewf1988@163.com。
