基于Bayesian Bootstrap法水泥土力学性能指标演化规律区间回归分析  

Interval Regression Analysis on Mechanical Property Index Evolution Law of Cement-soil Based on Bayesian Bootstrap Method

作　　者：陈昌富 陈兆君[1,2] 高松 蔡焕 CHEN Changfu;CHEN Zhaojun;GAO Song;CAI Huan(Key Laboratory of Building Safety and Energy Efficiency of Ministry of Education(Hunan University),Changsha 410082,China;College of Civil Engineering,Hunan University,Changsha 410082,China)

机构地区：[1]建筑安全与节能教育部重点实验室(湖南大学),湖南长沙410082 [2]湖南大学土木工程学院,湖南长沙410082

出　　处：《湖南大学学报（自然科学版）》2023年第3期227-234,共8页Journal of Hunan University:Natural Sciences

基　　金：国家自然科学基金资助项目(51978254);长沙市科技计划项目(kq2004013)。

摘　　要：为探究水泥土力学性能指标的演化规律,并建立各个力学性能指标对应的演化方程,首先对现有文献中黏性土水泥土的抗剪强度指标(即黏聚力c、内摩擦角φ)、模量(包括弹性模量E、割线模量E 50和变形模量E 0)等力学性能指标的试验数据进行挖掘,获得了水泥掺入比在10%~25%之间、龄期在3~90 d范围内各力学性能指标的原始样本数据;然后,基于Bayes‐ian Bootstrap方法,对不同龄期下上述力学性能指标的均值及置信水平为95%的置信区间进行估计;最后,基于本文提出的改进区间回归方法,通过区间回归分析得到了上述力学性能指标的均值和置信水平为95%的置信区间上、下限的双曲线函数型演化方程,并分别给出了各演化方程中模型参数的取值范围建议值.研究成果可为水泥土相关工程设计计算中参数取值提供可靠的依据.In order to explore the evolution law of mechanical property indexes of cement-soil and establish the evolution equation corresponding to each mechanical property index,this paper first analysed the testing data for the mechanical property indexes,such as the shear strength indexes(cohesion c and internal friction angleφ)and modulus(inclduing elastic modulus E,secant modulus E50 and deformation modulus E0)of clay cement-soil in the existing literature;Then,the original sample data of each mechanical property index with cement ratio of 10%~25%and age of 3~90 d was obtained;Next,the mean value and confidence interval with 95%confidence level of the above mechanical property indexes at different ages were estimated based on Bayesian Bootstrap method;Finally,based on the improved interval regression analysis method proposed in this paper,the hyperbolic function equations of the mean value,the upper and lower limits of the confidence interval with 95%confidence level of the above me⁃chanical property indexes were obtained,and the recommended values of the parameters in each evolution equation were given,respectively.The research results can provide a reliable basis for parameter selection in the design and calculation of cement-soil related projects.

关 键 词：水泥土 力学性能指标 Bayesian Bootstrap方法 演化方程 改进区间回归方法 

分 类 号：TU4[建筑科学—土工工程]