回归分析
沥青
数学
线性回归
回归
剪切模量
统计
流变学
区间(图论)
热力学
材料科学
组合数学
物理
复合材料
作者
Chengxin Chen,Hui Lin,Zixia Li
出处
期刊:Advances in transdisciplinary engineering
日期:2023-09-21
摘要
In order to study the rutting factor G*/sin δ and complex shear modulus G*, two kinds of rheological performance data obtained under asphalt temperature scanning, this paper performs regression analysis on the relevant empirical formulas of these two kinds of data, using the determination coefficient R2 and the comparison of the numerical magnitude of the fitted and true values of the regression against the error value Δ, and selects a reasonable formula for the next analysis and research, and uses a small number of known measurement point data of two different temperature spans for regression analysis, and compares the numerical magnitude of Δ, so as to discover and analyze the law.The results show that the fitted and true values of the commonly evaluated formula: lg lg G* = GTSF ∙ lg T + C2 for the complex shear modulus G* have relative error values E of many data above 6.4%, which do not meet the specification requirements, but the Z as well as X of the formula lg(F) = A ∙ T + C (F can refer to G*/sin δ or G*) under the regression of the same data are below 6.4%, which are more satisfying to use for research;At the same time, using Equation lg(F) = A ∙ T + C in the commonly used asphalt high temperature evaluation interval (50–80) for a deeper research analysis, it was found that a number of data in Δ obtained by regression analysis using three known measurement points with a temperature span of 15°C (50°C, 65°C, 80°C) were more than 6.4%, which did not meet the specification requirements; while using four measurement points with a temperature span of 10°C (50°C, 60°C, 70°C, 80°C) are all below 6.4%, which meet the specification requirements.
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