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概率论在土工工程中的应用,作为一个新的土力学分支,正日益受到重视。 本文是关于土坡在有渗透水流出并经受地震荷载作用下概率方法校核稳定性的研究。文中以常用的在地震条件下土坡稳定计算的公式为基础,推导了其概率模式,并以一阶二次矩法导出了各随机变量的期望和方差的表达式。文中比较详细地讨论了随机变量的相关性以及校正系数N(M_R)的问题。最后以一个实际土坡为例进行了计算。
The application of probability theory in geotechnical engineering is gaining increasing attention as a new branch of soil mechanics. This paper deals with the study of the stability of slopes by the probabilistic method with outflow of permeated water and subjected to seismic loads. In this paper, based on the commonly used formulae for calculating the stability of soil slopes under seismic conditions, the probabilistic model is deduced, and the expression of the expectation and variance of each random variable is derived using the first-order second-order method. The paper discusses the correlation of random variables and the problem of correction coefficient N(M_R) in more detail. Finally, an actual soil slope was taken as an example for calculation.