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在隧道衬砌结构可靠度分析中,基于一次二阶矩中心点法在基本变量的概率分布若为非正态分布或为非对数正态分布以及结构功能函数为非线性函数时,中心点法计算结果与实际出入较大。通过引入分离函数式对一次二阶矩法进行的线性化处理,结合蒙特卡罗-有限元法计算荷载作用效应的统计特征,从设计验算点开始进行迭代,并利用Mathematica辅助编程对隧道结构可靠度指标进行求解。计算结果表明:改进一次二阶矩法与分位点法相比具有更令人满意的精度,实用性好,适用于隧道及地下工程结构的可靠度分析。
In the tunnel lining structure reliability analysis, based on the first order second moment center method, if the probability distribution of the basic variables is non-normal distribution or non-lognormal distribution and the structural function function is a nonlinear function, Calculation results and the actual access to a larger. By introducing the separation function to linearize the first order second moment method, combining the Monte Carlo - finite element method to calculate the statistical characteristics of the load effect, starting from the design checkpoint iteration, and using Mathematica aided programming of the tunnel structure is reliable Degree indicators to solve. The results show that the improved first order moment method has more satisfactory accuracy than the sub-spot method, and has good practicability. It is suitable for the reliability analysis of tunnels and underground structures.