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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, the influence of each random variable in the limit state equation on the reliability analysis of vertical bearing capacity of pile foundation is studied. The maximum entropy principle is used to convert the calculation of reliability index into the calculation of entropy density function. When calculating entropy density function, Newton iterative method is adopted, which solves the problem that the iteration may not converge when analyzing the reliability of vertical bearing capacity of pile. In the calculations, the data used is derived directly from the sample, reducing the reliance on existing data and classical probability distributions. The calculation formula of failure probability of vertical bearing capacity of pile foundation is derived by using dimensionless calculation mode. The engineering example shows that the calculation efficiency is high and the precision meets the needs of the project.