基于力平衡的安全系数统一求解格式

Unified solving formulation for safety factor based on force equilibrium

基于力平衡求解安全系数的极限平衡条分法在边稳定分析和设计中得到了广泛地应用。然而,由于条间力假设的不同,各种方法的计算格式也不同,既不便于程序的编写,也不便于人们理解各自方法的优缺点。首次将现有基于力平衡求解安全系数的极限平衡条分法对条间力的假定表示成统一形式,根据力的平衡,导出了简单明了的条间力递推方程。根据条间力递推方程,建立了传统意义下基于力平衡的安全系数统一求解格式,使计算原理更为清晰,计算过程更为简单。在此基础上,如果将严格Janbu法所满足的条块力矩平衡方程表示成条间力的假定,严格Janbu法也可采用基于力平衡的安全系数统一求解格式。

The limit equilibrium methods of slices, the safety factors are computed from force equilibrium, have been widely used for analyzing and designing slope stability. However, because the assumptions regarding the inter-slice forces are different, the solving formulations of every method are different. It does not facilitate the compiling of the program and the understanding among the advantages and disadvantages of different procedures. In this paper, the assumptions for the inter-slice forces made by the exi...