基于分形理论的沥青路面微观形貌特征描述与求解方法

从分形角度描述沥青路面在垂直方向上的微观形貌特征,并研究了路面构造深度的分形插值方法。利用遗传算法求取迭代函数系统中仿射变换的最佳垂直比例因子,计算分形维数。最后利用高精度激光测距仪获取4种不同沥青路面样块的高程数据,在此基础上分析分形维数与路面平均构造深度、算术平均偏差、均方根偏差的相关关系,并通过插值函数模拟路面构造深度变化的分形曲线。

Feature description and its solution of asphalt road pavement micro-topography based on fractal theory

The texture of the asphalt road pavement may be described using the fractal theory due to its complexity and self-similarity on micro-scale.The micro-topography of the asphalt pavement structure depths in the vertical direction was analyzed by the fractal interpolation method based on the iterated function.The optimal vertical scaling factors of the affine transformation in the iterated function system were acquired by agenetic algorithm to calculate the fractal dimensions.The profile altitude data of 4 different alphalt pavement specimens were acquired by a high-precision laser range finder. The acquired data were used to analyze the relationships between the fractal dimension and the pavement mean structure depth,the arithmetic mean error,as well as the root-mean-square error,and to simulate the fractal curve of pavement structure depth variation by the interpolation functions.