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基于Bayesian Bootstrap法水泥土力学性能指标演化规律区间回归分析
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Interval Regression Analysis on Mechanical Property Index Evolution Law of Cement-soil Based on Bayesian Bootstrap Method
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    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E50和变形模量E0)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Bayesian 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.

    Abstract:

    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 angle φ) 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 mechanical 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.

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陈昌富 ?,陈兆君 ,高松 ,蔡焕 .基于Bayesian Bootstrap法水泥土力学性能指标演化规律区间回归分析[J].湖南大学学报:自然科学版,2023,(3):227~234

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  • 在线发布日期: 2023-04-13
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