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基于围岩变形破坏原理,建立了围岩稳定极限状态方程的普遍形式,研究了响应面方法求解该方程的过程,得出经典响应面方法仅仅适用于围岩物理力学参数随机分布曲线偏度系数为零的情况。针对围岩物理力学参数统计分布曲线的复杂性,利用统计矩参数对随机变量分布曲线形态特征的控制作用,提出了抽样样本修正方法和具体计算公式,归纳了修正后响应面算法的运行程序。以某公路隧道为例,分别采用经典算法和修正后算法计算了围岩稳定可靠度,然后与蒙特卡洛模拟结果进行了对照,经典方法计算结果与准精确解的绝对误差为1.017%,修正方法的计算结果与准精确解的绝对误差为0.388%。
Based on the principle of deformation and failure of surrounding rock, the universal form of the limit state equation for the surrounding rock stability is established. The process of solving the equation by the response surface method is studied. The classical response surface method is only applicable to the random distribution of the rock slope coefficient The case of zero. Aiming at the complexity of statistical distribution curve of physical and mechanical parameters of surrounding rock and using the control effect of statistical moment parameter on morphological characteristics of random variable distribution curve, a sampling sample correction method and a specific calculation formula are proposed, and the operation procedure of the modified response surface algorithm is summarized. Taking a highway tunnel as an example, the stability of the surrounding rock is calculated by the classical algorithm and the revised algorithm respectively, and then compared with the Monte Carlo simulation results. The absolute error between the classical method and the quasi-exact solution is 1.017% The absolute error between the calculated result and the quasi-exact solution is 0.388%.