土坡可靠度的随机BISHOP法

Random BISHOP Method of Soil Slope Reliability

将土的容重、粘聚力、内摩擦角作为随机变量。变量为非正态分布时，对变量进行当量正态化，求其当量的数字特征值，并考虑对变量进行截尾处理。随机变量相关情况下，对协方差矩阵利用ＪＡＣＯＢＩ方法进行处理，然后利用基于有限元法随机方法进行迭代，随后将传统ＢＩＳＨＯＰ法的极限状态方程中安全系数Ｆ_３取１，推得随机ＢＩＳＨＯＰ法极限状态方程。

Soil indexes, such as γ, c and are regarded as random variables. When the variables are not of normal clistribution, their equivalents arc novmalized. On condition that these random variables are related, JACOBI method deals with codeviation matrix which states relation among these variables and the method based on finite element method is also presented. Finally, when safety factor K value of traditional BISHOP method is equal to 1 .0, the critical.equation of random BISHOP method is obtained and soil slope reliability index β can be given.