基于最佳数值逼近法的岩土参数概率模型推断

The Inference of probabilistic model of geotechnical parameters based on optimal numerical approximation method

提出了推断岩土参数概率模型的最佳数值逼近法．该方法主要基于数值逼近原理,运用勒让德多项式来拟合岩土参数的概率密度函数．通过6种经典概率分布与相应的勒让德多项式概率模型的比较,结果表明所得到的逼近表达式有很好的拟合性能．该方法直接根据试验样本信息和统计方法推断,而不是先假定成经典的理论概率分布,因此数学和物理意义更加充分．研究结果表明,该方法避免了复杂的数值计算,计算结果稳定,可以满足岩土工程可靠性分析的需要．图6,表3,参10．

The optimal numerical approximation method was presented in this paper.The method based on numerical approximation theory, the legendre orthogonal polynomial was used to match the probabilistic density function of the geotechnical parameters. Six classical distributions, the normal distribution were compared with the legendre orthogonal polynomial probabilistic model, the result indicates that the approached expression can fit well with the actual distribution. The results show that this method is accurate enough and can be concluded the presented method and can be used in stochastic reliability analysis of geotechnical engineering. The mathematical and physical significance of the model is more sufficient.6figs.,3tabs.,10refs.