一般条分法的安全系数显示解  

Explicit solution to safety factor for general slice method

作　　者：杨明成[1] 

机构地区：[1]宁夏大学土木与水利工程学院,宁夏银川750021

出　　处：《岩土力学》2004年第z2期568-573,共6页Rock and Soil Mechanics

基　　金：宁夏高等学校科学技术研究项目资助(NO. JY2004)

摘　　要：对于边坡稳定性分析中的安全系数方案,根据条底法向力方程,对条底法向力进行假定,使得假定后的条底法向力具有两个待定参数。与传统的条间力假定相比,该假定理论根据更充分,物理意义更明确。通过假定后的条底法向力,化简三个整体极限平衡方程(水平方向、垂直方向力的平衡及力矩平衡),得到安全系数 Fs的三次代数方程,其有意义的根为严格满足可能滑动体整体平衡条件的一般条分法的安全系数 Fs 的显示解。参与计算的有关参数尽管偏多,但都是简单的代数求和。因此,在不损失计算精度的同时,大大简化了一般条分法计算安全系数 Fs 的过程。算例分析表明,所给一般条分法的安全系数显示解是正确的。For the safety factor way in slope stability analysis, the normal force of the slice base is assumed directly based on the equation of the normal the slice base, it enables the assumed normal force of slice base to have two factors to be determined. Compared with the traditional inter-force assumption, the proposed assumption is more sufficient in theoretic foundation and clearer on physical meaning. Simplifying the three global limit equilibrium equations (horizontal force equilibrium equation, vertical force equilibrium equation and moment equilibrium equation) for potential slip mass by the assumed normal force of slice base, a cubical algebraic equation is derived in terms of safety factor Fs, of which the significant root is the explicit solution to safety factor Fs for general slice method which rigorously satisfies the global equilibrium conditions for potential slip mass. Although the relevant parameters entering into the computation of the safety factor are on the more side, but all of them are simple algebraic sum, therefore, meanwhile the precision of computation does not lose, the present method greatly simplifies the calculating process of the safety factor Fs for general slice method with rigorous framework. The example analysis indicates that the proposed explicit solution to the safety factor Fs for general slice method is correct.

关 键 词：边坡稳定性 严格平衡 一般条分法 安全系数 显示解 

分 类 号：TU457[建筑科学—岩土工程]