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贝叶斯理论在红粘土地基沉降中的应用
  • 期刊名称:长安大学学报
  • 时间:0
  • 页码:30-33
  • 语言:中文
  • 分类:TU433[建筑科学—岩土工程;建筑科学—土工工程]
  • 作者机构:[1]中南大学土木建筑学院,湖南长沙410075, [2]青海省交通厅,青海西宁810008
  • 相关基金:基金项目:国家自然科学基金项目(50778180)
  • 相关项目:客运专线无碴轨道红粘土地基变形特性及动力稳定性研究
中文摘要:

通过对实测样本进行直方图分析和假设检验,得到样本的概率分布,结合先验分布,基于贝叶斯方法得到沉降修正系数的后验分布,对传统的沉降修正系数进行优化。实例分析结果表明:当先验分布为无信息分布时,其后验分布受样本信息的影响较大;当样本信息服从高斯分布时,其后验分布也服从参数为μ和σ的高斯分布,μ值随外荷载增大而减小,σ值呈无明显规律变化;通过贝叶斯方法的优化,修正经验系数考虑了荷载的影响,并且取值的区间明显缩小。

英文摘要:

The probability distributions of samples measured are obtained through histogram analysis and hypothesis testing. The posterior distribution coefficients can be gotten based on the Bayesian approach and combined with priori distributions of the settlement modification coefficients. The analysis results show that when the prior distributions are the non-information, the posterior distributions of coefficients are greatly influenced by samples information. When the distributions of samples are approved to obey Gaussian distributions, the posterior distributions of coefficients also obey these distributions, whose parameters are μ and σ, the values of μ are decreased with external loads increasing, and the values of σ have no significant change law. Through the optimization by Bayesian methods, the range of settlement modification coefficients is narrowed, which the influence of external loads are taken into account. 3 tabs, 4 figs, 10 refs.

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