Numerical method of slope failure probability based on Bishop model

来源期刊：中南大学学报(英文版)2008年第1期

论文作者：苏永华 赵明华 张月英

文章页码：100 - 100

Key words：Bishop mechanical model; failure probability of slope; mean deviation method; implicit function; Taylor series; dump of open-pit

Abstract: Based on Bishop’s model and by applying the first and second order mean deviations method, an approximative solution method for the first and second order partial derivatives of functional function was deduced according to numerical analysis theory. After complicated multi-independent variables implicit functional function was simplified to be a single independent variable implicit function and rule of calculating derivative for composite function was combined with principle of the mean deviations method, an approximative solution format of implicit functional function was established through Taylor expansion series and iterative solution approach of reliability degree index was given synchronously. An engineering example was analyzed by the method. The result shows its absolute error is only 0.78% as compared with accurate solution.

基金信息：the National Natural Science Foundation of China
Foundation of Communications Department of Hunan Province, China