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基于组合拱原理和剪切滑移破坏模型,导出隧道锚喷支护结构功能函数。该函数表现为高度非线性隐式特征,同时基本参数间存在相关性,导致其可靠度求解困难。首先,引入基于半解析的Nataf变换以消除基本参数相关性的影响,将原始随机变量导入到标准正态空间中。其次,根据统计矩点估计法原理,依靠基本随机变量统计特征导出功能函数统计特征的矩估计公式。最后,根据统计矩与其变量的关系,以功能函数的前四阶矩为约束,基于最大熵理论导出功能函数的概率密度函数。构建基于组合拱理论的隧道锚喷支护稳定可靠度求解的一维数值积分方法。通过数值算例验证其准确性,最后分析荆竹山公路隧道支护结构的稳定可靠度,展示该方法的应用前景。
Based on the combined arch principle and the shear-slip failure model, the function function of tunnel bolt-shotcrete support structure is derived. The function shows a highly nonlinear implicit feature, and there is a correlation between the basic parameters, which leads to difficulty in solving its reliability. First, the semi-analytical Nataf transformation is introduced to eliminate the influence of the correlation of basic parameters, and the original random variables are imported into normal normal space. Secondly, according to the principle of statistical moment estimation, the moment estimation formula of the statistical feature of the functional function is derived from the statistical characteristics of the basic random variables. Finally, according to the relationship between statistical moment and its variables, the first four moments of the functional function are used as constraints, and the probability density function of the functional function is derived based on the maximum entropy theory. One Dimensional Numerical Integration Method for Solving Stable Reliability of Tunnel Bolt and Shotcrete Support Based on Combined Arch Theory. The numerical example is used to verify its accuracy. Finally, the stability of Jingzhushan highway tunnel support structure is analyzed, and the application prospect of this method is demonstrated.