最大熵原理在坝体混凝土断裂韧度反演中应用

丛培江

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武汉理工大学学报 ›› 2008, Vol. 30 ›› Issue (1) : 83-86.
土木工程与建筑

最大熵原理在坝体混凝土断裂韧度反演中应用

  • 丛培江
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摘要

根据原型观测资料,计算混凝土坝缝端应力强度因子集,运用最大熵原理从理论上推导其熵概率密度函数,在此基础上给出了反演坝体混凝土断裂韧度的计算方法。该方法直接根据样本的数字特征值进行推断,而不是先假设成经典的概率分布,包含最少的主观假定,具有更充分的数学和物理意义。结合具体工程实例,并与传统方法进行对比分析,证实了该方法的有效性、可行性,为反演坝体混凝土断裂韧度的典型小概率法提供了更为坚实的计算理论基础。

Abstract

Application on Maximum Entropy Principle in Inversion Analysis of Fracture Toughness of Dam ConcreteCONG Pei-Jiang1,ZHANG Yan2 (1.School of Water Conservancy & Hydropower Engineering,Hehai University,Nanjing 210098,China;2.Chengdu Hydroelectric Investigation & Design of SPC,Chengdu 610072,China)Stress intensity factor set of dam concrete crack was calculated according to monitoring data.The maximum entropy was used to generate the maximum entropy probability density function(MEPDF) of the set,based on which the inversion analysis method of dam concrete fracture toughness was provided.The MEPDF was concluded just from the digital values of the sample,not from the assumption of classical probability distribution,which included the least subjective assumptions.Combined with engineering project,the efficacy and feasibility of MEPDF was approved based on the comparative analysis with the traditional method.The more solid calculated theoretical foundation was provided by MEPDF for the small-probability method of inversion analysis.maximum entropy;dam;fracture toughness;inversion analysis

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丛培江. 最大熵原理在坝体混凝土断裂韧度反演中应用. 武汉理工大学学报. 2008, 30(1): 83-86

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