岩土抗剪强度参数的最优概率分布函数推断方法

宫凤强; 黄天朗; 李夕兵

doi:10.11779/CJGE2016S2033

岩土抗剪强度参数的最优概率分布函数推断方法 English Version

中南大学资源与安全工程学院,湖南长沙 410083

基金项目: 国家自然科学基金项目（41102170）; 中央高校基本科研业务费专项资金项目（2011QNZT090）

详细信息

作者简介:
宫凤强（1979- ）,男,博士（后）,副教授,博士生导师,主要从事岩土工程可靠度和岩石动力学方面的教学与研究工作。E-mail: fengqiangg@126.com。

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出版历程
- 收稿日期: 2016-05-18
- 发布日期: 2016-10-19

Inference method for optimal probability distribution function of shear strength parameters in geotechnical engineering

School of Resources and Safety Engineering, Central South University, Changsha 410083, China

摘要

摘要:
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- 抗剪强度参数 /
- 概率分布 /
- 可靠度 /
- 正态信息扩散 /
- 样本个数 /
- 拟合精度
Abstract: The inference of optimal probability distribution of shear strength parameters is the basis and premise to ensure the accuracy of reliability calculation in geotechnical engineering. The existing studies suggest that most of the shear strength parameters obey the normal or logarithmic normal distribution. However, because the actual distribution range of geotechnical parameters is very limited, the problem that range mismatches between the defined interval of normal distribution or logarithmic normal distribution and the actual distribution interval of geotechnical parameters is inevitable. Considering the fact that there is a certain degree of skewness for the distribution of most geotechnical parameters, based on the "3" principle, a distributed interval determination method adjusted with the skewness is proposed. Three groups of samples of the internal friction angle of batholiths from water conservancy and hydropower projects are treated as examples, and the normal information diffusion method (NID method) is used to infer their respective probability distribution function. The K-S test method is also introduced to test the fitting degree. At the same time, in order to investigate the influence of sample sizes on the fitting accuracy of the normal information diffusion method and the typical distribution fitting method, eight groups of samples are produced using the Monte-Carlo method, and the sample size is 15, 20, 30, 50, 100, 200, 500 and 1000. The results show that, regardless of the actual or simulated samples, compared with the logarithmic normal distribution (obtained by the typical distribution fitting method), all the test values of the normal information diffusion distribution are lower than those of lognormal distribution, and tend to converge with the increase of the sample sizes.
- shear strength parameter /
- probability distribution /
- reliability /
- normal information diffusion /
- sample size /
- fitting precision

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参考文献(19)

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