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一种选择工程随机载荷统计分布的累积剩余熵法

杨于 梁英杰 陈文

杨于, 梁英杰, 陈文. 一种选择工程随机载荷统计分布的累积剩余熵法[J]. 应用数学和力学, 2018, 39(12): 1343-1350. doi: 10.21656/1000-0887.390157
引用本文: 杨于, 梁英杰, 陈文. 一种选择工程随机载荷统计分布的累积剩余熵法[J]. 应用数学和力学, 2018, 39(12): 1343-1350. doi: 10.21656/1000-0887.390157
YANG Yu, LIANG Yingjie, CHEN Wen. A Cumulative Residual Entropy Method in Selection of Random Load Distributions[J]. Applied Mathematics and Mechanics, 2018, 39(12): 1343-1350. doi: 10.21656/1000-0887.390157
Citation: YANG Yu, LIANG Yingjie, CHEN Wen. A Cumulative Residual Entropy Method in Selection of Random Load Distributions[J]. Applied Mathematics and Mechanics, 2018, 39(12): 1343-1350. doi: 10.21656/1000-0887.390157

一种选择工程随机载荷统计分布的累积剩余熵法

doi: 10.21656/1000-0887.390157
基金项目: 111引智计划(B12032);中央高校基本科研业务费(2017B01114)
详细信息
    作者简介:

    杨于(1992—),女,硕士生(E-mail: 18705162653@163.com);梁英杰(1988—),男,讲师,博士(E-mail: liangyj@hhu.edu.cn);(1967—2018),男,教授,博士,博士生导师(通讯作者. E-mail: chenwen@hhu.edu.cn).

  • 中图分类号: O232;O172;O373

A Cumulative Residual Entropy Method in Selection of Random Load Distributions

  • 摘要: 基于Lévy稳定分布,给出了一种选择工程随机载荷统计分布的累积剩余熵法.该方法采用候选分布估计载荷的累积分布和尾分布,并计算累积剩余熵,以及候选分布与真实分布的相对距离,相对距离越小表明候选分布越接近载荷的真实分布.结合永济第二节制闸上下游水位工程实例,对提出的方法进行了验证.计算结果表明:与正态分布、极值Ⅰ型分布相比,Lévy稳定分布的精度最高,能够较好地刻画水位分布的拖尾性;累积剩余熵的相对距离表明Lévy稳定分布与实际分布之间的误差最小,因此,基于Lévy稳定分布的累积剩余熵是一种有效工程随机载荷统计分布的方法,保证了工程结构可靠度计算的准确性.
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出版历程
  • 收稿日期:  2018-05-31
  • 修回日期:  2018-10-16
  • 刊出日期:  2018-12-01

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