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基于力平衡的安全系数统一求解格式
引用本文:林丽,杨明成,郑颖人.基于力平衡的安全系数统一求解格式[J].岩土力学,2005,26(Z1):279-282.
作者姓名:林丽  杨明成  郑颖人
作者单位:1. 成都医学院 基建工程处,成都 610083;2. 宁夏大学 土木与水利工程学院,银川 750021; 3. 后勤工程学院 军事土木系,重庆 400041
摘    要: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。

关 键 词:边坡稳定  力平衡  条间力递推方程  安全系数  统一求解格式  
收稿时间:2005-01-24

Unified solving formulation for safety factor based on force equilibrium
LIN Li,YANG Ming-cheng,ZHEN Ying-ren.Unified solving formulation for safety factor based on force equilibrium[J].Rock and Soil Mechanics,2005,26(Z1):279-282.
Authors:LIN Li  YANG Ming-cheng  ZHEN Ying-ren
Institution:1. The Construction Department,Chengdu Medical College, Chengdu 610083, China; 2. School of Civil and Hydraulic Engineering, Ningxia University, Yinchuan 750021, China; 3. Department of Civil Engineering, Logistical Engineering University, Chongqing 400041, China
Abstract: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 existing limit equilibrium methods of slices that the safety factors are computed from force equilibrium are expressed into the unified formulation for the first time; the simple and clear recurrence equation of the inter-slice forces is derived based on force equilibrium. The unified solving formulation for the safety factors based on force equilibrium in the context of conventional methods of slices is developed based on the recurrence equation of the inter-slice forces. It makes the calculating principle to be clearer and the calculating process to be simpler. On this basis, if inter-slice moment equilibrium equation that rigorous Janbu method satisfies is expressed into the assumption regarding the inter-slice forces, rigorous Janbu method can also adopt the unified solving formulation for the safety factor based on force equilibrium.
Keywords:slope stability  force equilibrium  recurrence equation of the inter-slice forces  safety factor  unified solving formulation  
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