摘要
基于边坡稳定性分析的任意条分方法, 在单元静力平衡分析中引进作用在边界上的虚拟平衡力, 满足边坡安全系数求解过程中单元静力平衡的要求。分析了虚拟平衡力与边坡安全系数间的变化规律, 研究了通过迭代求解非线性方程确定在虚拟平衡力趋于零时边坡安全系数的基本原理。研究结果表明:基于给出的算法,通过迭代求解安全系数, 收敛速度快;在迭代初期,平衡力与安全系数间有较复杂的对应关系;当迭代次数大于某一值后,平衡力随安全系数的增加而单调地变化。
Based on the stability analysis for slope with polygon elements, the equilibrium of elements was evaluated by adapting fictitious force acting at boundary of element to calculate factor of safety, the behavior of the fictitious force was studied while the factor of slope safety changes, the procedure was discussed to obtain the factor of slope safety in an iterative way if the adopt fictitious force was vanished finally. The relationship between fictitious equilibrium force and factor of safety is complex in the initial steps during the iterative procedure. If the iterative step is greater than a certain number, the fictitious equilibrium force will change simply with factor of slope. The algebraic method is efficient to obtain a convergence value of safety factor.
出处
《中南大学学报（自然科学版）》
EI
CAS
CSCD
北大核心
2005年第2期302-306,共5页
Journal of Central South University:Science and Technology
基金
国家自然科学基金资助项目(50274074)
