一种沥青混合料间断级配新型数学模型  

A New Mathematical Model for Discontinuous Gradation of Asphalt Mixture

作　　者：陈龙[1] 朱建勇[2] 何兆益[1] 王旭东[3] 张蕾[3] CHEN Long ZHU Jian-yong HE Zhao-yi WANG Xu-dong ZHANG Lei(School of Civil Engineering, Chongqing Jiaotong University, Chongqing 400074, China School of Material Science and Engineering, Chongqing Jiaotong University, Chongqing 400074, China Key Laboratory for Road Structure ＆ Material of Ministry of Transport, Research Institute of Highway, Ministry of Transport, Beijing 100088, China)

机构地区：[1]重庆交通大学土木工程学院,重庆400074 [2]重庆交通大学材料科学与工程学院,重庆400074 [3]交通运输部公路科学研究院道路结构与材料交通行业重点实验室,北京100088

出　　处：《公路交通科技》2017年第2期15-19,41,共6页Journal of Highway and Transportation Research and Development

摘　　要：基于沥青混合料级配间断性评价指标当量粒径比,分别结合代表级配偏粗、居中和偏细的3种函数模型——指数函数模型、幂函数模型和对数函数模型,分析4.75 mm通过率和2.36 mm粒径含量双因素与当量粒径比的关系,改进原有当量粒径比与4.75 mm通过率单因素非线性公式。研究结果表明:当量粒径比与2.36 mm粒径含量符合幂函数模型;4.75 mm通过率与2.36 mm粒径含量对当量粒径比的权重比为60%∶40%;将4.75 mm通过率和2.36 mm粒径含量分别与当量粒径比进行回归,两者回归系数的统计关系式有所不同。以16 mm公称最大粒径沥青混合料为例,验证了该新型级配间断性模型不仅符合评价指标的定义,而且计算结果更加准确。Based on equivalent particle diameter ratio（ Z） which is used as the evaluation index about gradation discontinuity of asphalt mixture, combining 3 kinds of functional models-exponential function model,power function model and logarithmic function model which represent the gradation of coarse,medium and thin respectively,we analysed the relationship between the dual parameters of 4. 75 mm pass rate with 2. 36 mm particle content and the equivalent particle diameter ratio,improved the original nonlinear equation of the single parameters of 4. 75 mm pass rate（ single parameters） and the equivalent particle diameter ratio. The result shows that（ 1） the relationship between equivalent particle diameter ratio and2. 36 mm particle content is consistent with power function model;（ 2） the weight ratio of 4. 75 mm pass ratio and 2. 36 mm particle content to equivalent particle diameter ratio are 60% ： 40%;（ 3） the regression analysis are made respectively between 4. 75 mm pass rate,2. 36 mm particle content and the equivalent particle diameter ratio,the statistical relations of the regression coefficients are different. Taking 16 mm nominal maximum aggregate size（ NMAS） as an example,the discovery shows that the new model about graduation discontinuity not only conforms to the definition of the evaluation index, but also the of the calculation result is more accurate.

关 键 词：道路工程 沥青混合料 函数模型 当量粒径比 级配间断性 

分 类 号：U416.217[交通运输工程—道路与铁道工程]