岩土力学2017，Vol.38Issue(4)：1171-1178,1187,9.DOI:10.16285/j.rsm.2017.04.031
基于子区间法的隐式功能函数非概率可靠性方法研究
Non-probabilistic reliability model for implicit performance function based on subinterval method
摘要
Abstract
From the point of view of insufficient statistical data,a non-probabilistic reliability method for implicit performance function of geotechnical engineering is developed,which is a useful complement to the probabilistic reliability method.Firstly,we use the series of interval extension functions to reduce the interval correlation,and establish the iterative program for implicit function interval solution based on the subinterval method.Then,the experiment design is utilized to establish the statistical optimization model from the point view of comprehensive design to search the optimal solution and further to achieve a target range.Finally,by setting the confidence interval for the interval solution to stress function in the performance function,the non-probabilistic reliability model of the implicit performance function with limited computational cost is obtained.Moreover,through the solution for external function of support pressure,the detailed operation procedures of the non-probabilistic method are demonstrated.The results of the engineering examples show that the relative error between the maximum support resistance obtained by the proposed method and the maximum value of Monte-Carlo simulation is 0.83％,and the proposed method has a preference for absolute security.关键词
岩土工程/不确定性/隐式函数/非概率可靠性/子区间法Key words
geotechnical engineering/uncertainty/implicit function/non-probabilistic reliability/subinterval method分类
通用工业技术引用本文复制引用
方砚兵,苏永华,肖旺,梁斌..基于子区间法的隐式功能函数非概率可靠性方法研究[J].岩土力学,2017,38(4):1171-1178,1187,9.基金项目
国家自然科学基金项目(No.51578232,No.51378195),湖南省交通科技项目(No.201224).This work was supported by the National Nature Science Foundation of China (51578232,51378195) and the Traffic Science and Technology Project of Hunan Province (201223). （No.51578232,No.51378195）
