基于子区间法的隐式功能函数非概率可靠性方法研究

发布时间：2018-06-18 08:55

本文选题：岩土工程 + 不确定性　；参考：《岩土力学》2017年04期

【摘要】：从统计资料不足的角度出发,研究一种岩土工程隐式功能函数非概率可靠性方法,作为概率可靠性方法的有益补充。首先利用系列区间扩展函数降低区间相关性,建立基于子区间法的隐式函数区间解的迭代程序;然后采用试验设计的方法,从全面设计的角度建立统计优化模型搜索最优解,达到一个目标区间内获得一个简单计算方案的目的;最后通过对功能函数中应力函数的区间解设置置信区间,形成有限计算代价下的偏向于绝对安全的隐式功能函数非概率可靠性模型。通过岩土工程中最小支护阻力函数演示该方法的具体操作程序。工程算例结果表明,由此得到的最小支护阻力上限值与蒙特卡洛模拟法最大值的相对误差为0.83%,偏向于绝对安全。
[Abstract]:From the point of view of lack of statistical data, a non-probabilistic reliability method for implicit functional functions in geotechnical engineering is studied as a useful supplement to the probabilistic reliability method. First, the interval correlation is reduced by using a series of interval extension functions, and the iterative procedure of interval solution of implicit function based on subinterval method is established, and then the statistical optimization model is established to search for the optimal solution from the point of view of overall design by the method of experimental design. Finally, the confidence interval is set for the interval solution of the stress function in the function. A non-probabilistic reliability model of implicit functional functions with an absolute safety bias is formed at finite computational cost. The concrete operation procedure of this method is demonstrated by the function of minimum support resistance in geotechnical engineering. The engineering example shows that the relative error between the upper limit value of minimum support resistance and the maximum value of Monte Carlo simulation method is 0.833, which is biased towards absolute safety.
【作者单位】：湖南大学土木工程学院;
【基金】：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)~~
【分类号】：TB114.3

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