This study aims to investigate the influence of surface texture distribution in respect to the procedure of pavement surface wear on friction performance.,The Weierstrass–Mandelbrot (W-M) equation is used to appropriate pavement surface profile. Through this approximation, artificial rough profiles by combining fractal parameters and conventional statistical parameters for different macro-texture are created to simulate the procedure of pavement surface wear. Those artificial profiles are then imported into discrete element model to calculate the interaction forces and friction coefficient between rolling tire and road. Furthermore, wavelet theory is used to decompose the profiles into different scales and explore the correlation between the profiles of each scale and pavement friction.,The influence of tire vertical displacement (TVD) on friction coefficient is greater than fractal dimension of road surface texture. When TVD decreases, the profiles can provide higher friction, but the rolling stability of tire is poor. The optimal fractal dimension of road surface is about 1.5 when considering friction performance. The pavement friction performance improves with wavelength from 0.4 to 6.4mm and decreases with wavelength from 12.8 to 51.2mm.,Artificial fractal curves are generated and analyzed by combining W-M function with traditional parameter, which can also be used to analyze the influence of texture distribution on other pavement performance. The preliminary research provides a potential approach for the evaluation of pavement friction performance.,The peer review history for this article is available at: https://publons.com/publon/10.1108/ILT-11-2019-0499/

中文翻译：

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胎路相互作用摩擦性能离散元分析

本研究旨在研究表面纹理分布对路面表面磨损过程对摩擦性能的影响。Weierstrass-Mandelbrot (WM) 方程用于适当的路面表面轮廓。通过这种近似，通过结合分形参数和不同宏观纹理的常规统计参数来创建人造粗糙轮廓，以模拟路面表面磨损过程。然后将这些人工轮廓导入离散元模型以计算滚动轮胎与道路之间的相互作用力和摩擦系数。进一步利用小波理论将剖面分解为不同尺度，探索各尺度剖面与路面摩擦力的相关性。轮胎垂直位移（TVD）对摩擦系数的影响大于路面纹理的分形维数。当 TVD 减小时，型材可以提供更高的摩擦力，但轮胎的滚动稳定性较差。考虑摩擦性能时，路面的最佳分形维数约为1.5。路面摩擦性能随波长从0.4到6.4mm提高，从12.8到51.2mm降低，结合WM函数和传统参数生成和分析人工分形曲线，也可用于分析纹理分布的影响其他路面性能。初步研究为评估路面摩擦性能提供了一种潜在的方法。本文的同行评审历史可从以下网址获得：https://publons。