一种基于分形理论的骨架密实型抗车辙级配检验方法

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

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.

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 selfmade 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.