本文選題：巖土工程 + 不確定性��； 參考：《巖土力學》2017年04期

【摘要】：從統(tǒng)計資料不足的角度出發(fā),研究一種巖土工程隱式功能函數非概率可靠性方法,作為概率可靠性方法的有益補充。首先利用系列區(qū)間擴展函數降低區(qū)間相關性,建立基于子區(qū)間法的隱式函數區(qū)間解的迭代程序;然后采用試驗設計的方法,從全面設計的角度建立統(tǒng)計優(yōu)化模型搜索最優(yōu)解,達到一個目標區(qū)間內獲得一個簡單計算方案的目的;最后通過對功能函數中應力函數的區(qū)間解設置置信區(qū)間,形成有限計算代價下的偏向于絕對安全的隱式功能函數非概率可靠性模型。通過巖土工程中最小支護阻力函數演示該方法的具體操作程序。工程算例結果表明,由此得到的最小支護阻力上限值與蒙特卡洛模擬法最大值的相對誤差為0.83%,偏向于絕對安全。
[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.
【作者單位】： 湖南大學土木工程學院;
【基金】：國家自然科學基金項目(No.51578232,No.51378195) 湖南省交通科技項目(No.201224)~~
【分類號】：TB114.3

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