边坡稳定性分析的广义Bishop法

Generalized Bishop method for slope stability analysis

鉴于简化B ishop法作为一种简单实用且精度较高的极限平衡方法却仅限于分析圆弧破坏的缺陷,提出将B ishop法应用于任意滑裂面的广义方法.基于极限平衡理论和简化B ishop法的简化条件,推导其用于一般滑裂面破坏的边坡安全系数计算公式.通过实例分析考证比较该法的精度,并提出取矩中心的确定方法,以保证竖向力简化假设下的精度,为土坡稳定性分析提供了一种简单通用的方法.

The simplified Bishop method （SBM） is a simple and practical limit equilibrium method with the property of good precision, but it can only be used for the slopes with circular slip surface. In view of this, a new generalized method of SBM was proposed for any slip surface with arbitrary shape. Based on the limit equilibrium theory and simplified conditions of SBM, the calculation formula was deduced for slope stability analysis with any slip surface. The algorithm performance was tested and compared by some instances adopted by others. Furthermore, the moment center was determined to assure the precision under the simplified condition of vertical forces between slices. The method is simple and universal, and it may replace other limit equilibrium methods.