基于无味变换的边坡可靠性分析
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作者:
作者单位:

1.三峡大学水利与环境学院;2.三峡大学土木与建筑学院;3.三峡大学电气与新能源学院

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中图分类号:

TU

基金项目:

国家自然科学基金项目(面上项目,重点项目,重大项目)


Slope reliability analysis based on unscented transformation
Author:
Affiliation:

1.College of Hydraulic and Environmental Engineering,China Gorges University;2.College of Civil Engineering and Architecture,China Gorges University;3.College of electrical engineering and new energy,China Gorges University

Fund Project:

The National Natural Science Foundation of China (General Program, Key Program, Major Research Plan)

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    摘要:

    岩土工程不确定性问题是近年研究的热点之一,以边坡可靠性分析为出发点,通过介绍无味变换原理,给出了基于无味变换的边坡可靠性分析方法及实施步骤,借助已有研究中的均质边坡和分层边坡算例,探讨了基于无味变换的边坡可靠性分析方法的合理性和适用性,结果表明:基于无味变换原理开展边坡可靠性分析可不依赖于变量的分布类型,应用方便且计算效率高;在分析可靠性较高的边坡时,由于失效概率量值较小,引起的相对误差较大,此时应谨慎选择,但对于工程上更为关注的可靠性较低(高失效概率)的边坡,与蒙特卡洛方法相比,基于无味变换方法的计算结果相对误差在5%以内,且变量相关系数的变化引起的误差波动较小,适用性较好。

    Abstract:

    The uncertainty problem of geotechnical engineering is one of the hotspots of research in recent years. Based on the reliability analysis of slope and the introduction of the principle of unscented transformation, the analysis methods and implementation steps of slope reliability based on unscented transformation are given. With the help of the examples of the homogeneous slope and the layered slope in the existing research, the rationality and applicability of slope reliability analysis method based on unscented transformation are discussed. The results show that the reliability analysis of slope based on the principle of unscented transformation does not depend on the distribution types of variables, and the unscented transformation is convenient in application and efficient in calculation. When the slope with higher reliability is analyzed, a large relative error is caused because the value of failure probability is small, therefore, the methods should be chosen carefully. But the slope with lower reliability (higher failure probability) which is more concerned in engineering, the method of slope reliability analysis based on unscented transformation has good applicability. At the same time, the relative error of this method is less than 5% when compared with the Monte Carlo method and the error fluctuation caused by the change of variable correlation coefficient is small.

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历史
  • 收稿日期:2019-12-27
  • 最后修改日期:2020-03-05
  • 录用日期:2020-03-12
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