边坡工程可靠性分析的最大熵方法

王宇 张慧 贾志刚

王宇, 张慧, 贾志刚. 2012: 边坡工程可靠性分析的最大熵方法. 工程地质学报, 20(1): 51-57.
引用本文: 王宇, 张慧, 贾志刚. 2012: 边坡工程可靠性分析的最大熵方法. 工程地质学报, 20(1): 51-57.
WANG Yu, ZHANG Hui, JIA Zhigang. 2012: THE MAXIMUM ENTROPY METHOD FOR RELIABILITY ANALYSIS OF SLOPE ENGINEERING. JOURNAL OF ENGINEERING GEOLOGY, 20(1): 51-57.
Citation: WANG Yu, ZHANG Hui, JIA Zhigang. 2012: THE MAXIMUM ENTROPY METHOD FOR RELIABILITY ANALYSIS OF SLOPE ENGINEERING. JOURNAL OF ENGINEERING GEOLOGY, 20(1): 51-57.

边坡工程可靠性分析的最大熵方法

基金项目: 

国家十一五科技支撑计划项目(2008BAC47B0)和交通部西部交通建设科技项目(200906)

详细信息
    作者简介:

    王宇,主要从事地质灾害评估,边坡及滑坡工程治理研究.Email: good541571889@126.com

  • 中图分类号: TU457

THE MAXIMUM ENTROPY METHOD FOR RELIABILITY ANALYSIS OF SLOPE ENGINEERING

  • 摘要: 边坡工程可靠性分析的最大熵方法,利用已有样本的部分信息来使熵最大化,充分利用了随机变量的高阶矩信息,由样本矩来推断边坡可靠性功能函数的概率密度函数,求解边坡的破坏概率。该方法对基本随机变量的分布没有特别要求,避免了常规方法计算过程中在迭代点处对非正态随机变量进行近似当量正态化处理的缺陷。通常,功能函数的真实概率密度函数很难、甚至无法求得,将Pearson曲线族引入岩土参数随机变量高阶矩的求解当中,可以很容易地得到功能函数的高阶中心矩,然后,基于最大熵原理拟合得到功能函数的最大熵密度函数,采用区间截断法和高斯-克朗罗德数值积分法分别确定最大熵密度函数的拉格郎日系数和边坡的破坏概率。算例分析结果表明:该方法计算效率高,结果可靠,克服了传统方法求解过程复杂、精度低的缺点,将其应用于工程边坡的可靠性分析当中,发展潜力大,具有一定的应用前景和实用价值。
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出版历程
  • 收稿日期:  2011-05-20
  • 修回日期:  2011-11-15
  • 刊出日期:  2012-02-25

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