上海交通大学学报

上海交通大学学报（自然版） ›› 2018, Vol. 52 ›› Issue (9): 1125-.doi: 10.16183/j.cnki.jsjtu.2018.09.018

• 学报（中文） • 上一篇    

一种基于分形理论的骨架密实型抗车辙级配检验方法

李丽民1,2 ,张国祥2,蒋建清3   

  1. 1. 湖南科技学院 土木与环境工程学院， 湖南 永州 425199； 2. 中南大学 土木工程学院， 长沙 410075； 3. 湖南城市学院 土木工程学院， 湖南 益阳 413000
  • 通讯作者: 李丽民(1974-)，男，湖南省邵阳市人，博士，副教授，电话(Tel.):0746-6382488；E-mail：li-li-min@126.com.
  • 基金资助:
    湖南省教育厅重点项目（16A082），湖南省自然科学基金资助项目（2015JJ2073)，国家自然科学基金资助项目（No.51308198），永州市2016年度指导性科技计划项目（永科发［2016］27号）

An Examination Method of Dense Skeleton Type Resisting Rutting Gradation Based on Fractal Theory

LI Limin,ZHANG Guoxiang,JIANG Jianqing   

  1. 1. School of Civil and Environmental Engineering, Hunan University of Science and Engineering, Yongzhou 425199, Hunan, China; 2. School of Civil Engineering, Central South University, Changsha 410075, China; 3. School of Civil Engineering, Hunan City University, Yiyang 413000, Hunan, China

摘要： 为解决抗车辙级配设计问题，基于分形理论，通过理论分析及大量试验和计算，提出了一种骨架密实型抗车辙级配检验新方法.该方法应用分形理论，采用粗、细集料的粒径分布的分形维数、粗集料的分形空隙率、细集料在粗集料中的分形体积等指标，利用MATLAB自编程序对沥青针入度和粒径分形维数D进行双元曲线回归得到的沥青混合料动稳定度的经验公式进行级配检验，计算检验过程简单，解决了混合料级配设计的盲目性，是一种行之有效的方法.

关键词: 抗车辙级配, 分形理论, 分形维数, 骨架密实型

Abstract: To solve the anti-rutting gradation design problem, based on fractal theory and many experiments and calculations, a new resisting rutting gradation examination method is put forward. Based on empirical formulas of dynamic stability for asphalt mixture between asphalt penetration and gradation fractal dimension D, which is put forward, by means of binary variables curve regression through self-made MATLAB program, the method applies fractal theory to examining the aggregate gradation, by using the indices such as the fractal dimension of coarse and fine aggregate particle size distribution, the fractal void ratio of coarse aggregate, the fractal volume of fine aggregate in coarse aggregate, etc. The method solves the design blindness of mixture gradation effectively, with simple process of calculation and examination.

Key words: resisting rutting gradation, fractal theory, fractal dimension, dense skeleton type

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