正态信息扩散法在确定河冰抗压强度概率分布中的应用
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摘要
将正态信息扩散法应用于小样本条件下河冰抗压强度概率密度函数的确定,建立了小样本条件下河冰抗压强度概率分布,并结合K-S检验法和河冰抗压强度试验数据,分析了该方法的合理性。结果表明,本文方法可以较好解决小样本情况下河冰抗压强度概率分布的确定问题,正态信息扩散分布更加接近河冰抗压强度的真实分布,并优于经典分布的拟合方法。
In order to analyze the probabilistic property of ice load,the probability distribution of the river ice compressive strength is important.The small sample of the river ice compressive strength is common in engineering for reducing the experiment cost,so its probability distribution is determined hardly for its small sample size.The normal information spread method is applied to the determination of the probability distribution of small sample of the compressive strength and the calculating method of its probability distribution is obtained.The method has been verified by K-S test with experimental data of the river ice compressive strength.It is indicated that the probability distribution of small sample of the compressive strength by the method in this paper is closer to real distribution than the distribution by classical calculating method.
In order to analyze the probabilistic property of ice load,the probability distribution of the river ice compressive strength is important.The small sample of the river ice compressive strength is common in engineering for reducing the experiment cost,so its probability distribution is determined hardly for its small sample size.The normal information spread method is applied to the determination of the probability distribution of small sample of the compressive strength and the calculating method of its probability distribution is obtained.The method has been verified by K-S test with experimental data of the river ice compressive strength.It is indicated that the probability distribution of small sample of the compressive strength by the method in this paper is closer to real distribution than the distribution by classical calculating method.
引文
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[2]蔡之瑞,孙柏涛,郭世荣,等.冰荷载的实验研究与计算方法[J].地震工程与工程振动,1997,17(4):49-56.Cai Z R,Sun B T,Guo S R,et al.Experimental re-search on ice load and its calculation method[J].Earthquake Engineering and Engineering Vibration,1997,17(4):49-56.
[3]王永刚,康苏海.辽东湾平整冰抗压强度的概率分布及其蒙特卡罗模拟[J].中国海上油气(工程),1995,7(3):40-45.Wang Y G,Kang S H.The probability distributionand Monte-Carlo simulation of the compressivestrength of level ice in the Liaodong Bay[J].ChinaOffshore Oil and Gas(Engineering),1995,7(3):40-45.
[4]姚迪.逊比拉河河冰基本力学性能试验与概率特性研究[D].哈尔滨:哈尔滨工业大学,2008.Yao D.Research on probabilistic property and experi-ments of basic mechanic parameters of river ice inXunbila river[D].Harbin:Harbin Institute of Tech-nology,2008.
[5]邓建,李夕兵,古德生.岩石力学参数概率分布的信息熵推断[J].岩石力学与工程学报,2004,23(13):2177-2181.Deng J,Li X B,Gu D S.Probability distribution ofrock mechanics parameters by using maximum entropymethod[J].Chinese Journal of Rock Mechanics andEngineering,2004,23(13):2177-2181.
[6]王新洲.基于信息扩散原理的估计理论、方法及其抗差性[J].武汉测绘科技大学学报,1999,24(3):240-244.Wang X Z.The theory,method and robustness of theparameter estimation based on the principle of infor-mation spread[J].Journal of Wuhan Technical Uni-versity of Surveying and Mapping,1999,24(3):240-244.
[7]王积全,李维德.基于信息扩散理论的干旱区农业旱灾风险分析——以甘肃省民勤县为例[J].中国沙漠,2007,27(5):826-830.Wang J Q,Li W D.Analysis on agricultural droughtrisk based on information diffusing principle—a casestudy of minqin county in arid area[J].Journal ofDesert Research,2007,27(5):826-830.
[8]宫凤强,李夕兵,邓建.小样本岩土参数概率分布的正态信息扩散法推断[J].岩石力学与工程学报,2006,25(12):2559-2564.Gong F Q,Li X B,Deng J.Probability distribution ofsmall samples of geotechnical parameters using normalinformation spread method[J].Chinese Journal ofRock Mechanics and Engineering,2006,25(12):2559-2564.
[9]黄崇福,王家鼎.模糊信息优化处理技术及其应用[M].北京:北京航空航天大学出版社,1995.Huang C F,Wang J D.Fuzzy Information Optimiza-tion Technology and Its Application[M].Beijing:BeiHang University Press,1995.
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