基于最大熵原理的基桩竖向承载力的可靠度分析

Reliability analysis for vertical bearing capacity of piles based on the maximum entropy principle

基于无量纲计算模式,研究了极限状态方程中每个随机变量对基桩竖向承载力可靠度分析的影响,并采用最大熵原理将可靠度指标的计算转化为熵密度函数的计算。计算熵密度函数时采用牛顿迭代法,从而解决了在分析基桩竖向承载力的可靠度时可能产生的迭代不收敛的情况。在计算中,采用的数据直接来源于样本,减少了对已有数据和经典概率分布的依赖。利用无量纲计算模式推导了基桩竖向承载力的失效概率的计算公式。工程实例分析表明,其计算效率较高且精度满足工程需要。

Based on the dimensionless calculation mode,each random variable in the limit state equation influencing the reliability of the vertical bearing capacity of piles is analyzed,and the maximum entropy principle is used to transform the iterative calculation of reliability index into the entropy density function calculation.The Newton iterative method is used in the calculation of entropy density function,by which the non-convergence issue in the calculation for the vertical bearing capacity of piles is solved.The data adopted in calculation directly source from the samples,and thus the reliance on the existing data and the classical probability distribution functions is reduced.Meanwhile,the failure probability of vertical bearing capacity of pile is calculated by using the dimensionless calculation mode.The results from a case study indicate that the presented method in this paper is valid and the calculation efficiency and accuracy are satisfactory.