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本文对扩展的三维毕绍普(Bishop)简化法和其它三维极限平衡方法进行了研究比较,发现当滑面为旋转和对称的曲面时,如椭球面,这些方法的结果是相当接近的。对于那些非旋转和非对称的滑面,由于毕绍普法忽略了滑体内部强度,其结果偏于保守,但对于许多滑坡情况,其误差仍然处于允许的范围内。本文也提出了一些指标用来确定毕绍普法的适用范围,在毕绍普法有效的范围内,该方法对于三维极限平衡分析来说,是一种合适的方法。
In this paper, we compare the extended three-dimensional Bishop simplification method with other three-dimensional limit equilibrium methods and find that the results of these methods are quite close when the sliding surface is a rotating and symmetrical surface such as an ellipsoid. For those non-rotating and asymmetrical slip surfaces, the result is conservative, as the Bishop method neglects the internal strength of the slip body, but for many landslides the error is still within acceptable limits. This paper also presents some indicators to determine the scope of the Bishop method, which is a suitable method for the three-dimensional limit equilibrium analysis to the extent that it is valid.