Reliability Analysis of Tunnel Lining Structure Using Third-Moment Method
The reliability analysis of tunnel lining structures is a pivotal research domain in tunnel engineering.Traditional methodologies predominantly rely on the Monte Carlo finite element method,integrating basic random variables into two comprehensive variables,followed by a second-order moment method or a second-order second moment method for reliability computation.Nonetheless,this approach might exhibit inadequacies in addressing the correlation among integrated variables,potentially compromising the precision of the analysis outcomes.To counteract this limitation,this study introduces a novel third-order moment method for the reliability analysis of tunnel lining structures.Initially,the method employs the Monte Carlo finite element method based on Latin hypercube sampling to compute the first three moments (mean,variance,and skewness) of the limit state function of the tunnel lining structure.Subsequently,the third-order moment reliability index is utilized to estimate the failure probability of the lining structure.Validation through numerical examples demonstrates that this method not only streamlines the computational process but also enhances result accuracy,offering a novel research methodology for the reliability analysis of tunnel lining structures and other structures with implicit function forms.
tunnel lining structurereliabilityMonte Carlo finite element methodLatin hypercube samplingthird-moment method
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