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建立了一种对大坝岩基深层滑动面的可靠度分析的方法。首先运用Mohr-Coulomb破坏准则推导出局部破坏的判别法,从而得到对应某一初始点的滑动面。然后运用了瑞典条分法计算岩基安全系数的公式,使其作为目标函数,使用了人工鱼群算法得到了初始点,从而确定了滑动面。最后,使用最小二乘法,用直线拟合了滑动面。并对主滑动体和尾岩抗力体进行受力分析,得到了功能函数。通过Monte-Carlo法,得到功能函数的期望值和方差,从而得到大坝岩基深层滑动面的可靠度。结合了实例说明了此种方法的有效性。与常规求大坝岩基深层滑动面的可靠度的方法相比,此方法有其优点:中间过程采用有限元分析方法对应力状态进行了分析,得到的可靠度是偏于安全的。
A method to analyze the reliability of deep sliding surface of dam foundation is established. First of all, using the Mohr-Coulomb failure criterion to derive the judgment method of local damage, the sliding surface corresponding to some initial point is obtained. Then, the formula of safety coefficient of rock foundation is calculated by using the Swedish slice method, which is taken as the objective function. The artificial fish swarm algorithm is used to get the initial point, and the sliding surface is determined. Finally, the least square method is used to fit the sliding surface with a straight line. The force analysis of the main sliding body and the tailing resistance body was carried out, and the function function was obtained. Through the Monte-Carlo method, the expected value and variance of the functional function are obtained, and the reliability of the sliding surface of the deep foundation of the dam foundation is obtained. An example is given to illustrate the effectiveness of this method. Compared with the conventional method of determining the reliability of the sliding surface of deep rock foundation, this method has its own advantages: the finite element method is used in the middle process to analyze the stress state, and the obtained reliability is biased to safety.