孔令奇,李翠娟

• 1:成都工业学院材料与环境工程学院
• 2:土木工程学院西南交通大学

摘要(Abstract)：

最大熵法被认为是可以准确推断岩土参数概率分布的一种有效方法,但其还存在直方图分组和积分界限选择问题。岩土参数测试样本的直方图分组是最大熵法推断其概率分布的前提和基础,既有直方图分组没有统一的方法,一般为研究人员主观取值,为此提出借助经验法中的Sturges规则与平均移位直方图的思想,通过计算平均积分平方误差最小值获得最优直方图分组的方法。既有的c_(32)型区间取值方法在样本偏度系数绝对值大于0.5时失效,通过对实际测试样本的反复统计计算,考虑积分上、下界限的同时变化,提出在样本偏度系数的绝对值大于0.5时,采用c′_(31)积分界限取值方法,从而弥补了c_(32)区间取值法在样本偏度系数大于0.5时失效的不足。研究成果完善了最大熵法在推断岩土参数概率分布中的应用。

关键词(KeyWords)： 岩土参数;最大熵法;概率分布;最优直方图分组;积分界限

Abstract:

Keywords:

基金项目(Foundation): 国家自然科学基金资助项目(51308466)

作者(Author): 孔令奇,李翠娟

DOI: 10.13928/j.cnki.wrahe.2021.10.017

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