Abstract
The quantitative description is given to three‐dimensional micro and macro self‐similar characteristics of road surface from the perspective of fractal geometry using FBM stochastic midpoint displacement and diamond‐square algorithm in conjunction with fractal characteristics and statistical characteristics of standard pavement determined by estimation method of box‐counting dimension. The comparative analysis between reconstructed three‐dimensional road surface spectrum and theoretical road surface spectrum and correlation coefficient demonstrate the high reconstruction accuracy of fractal reconstructed road spectrum. Furthermore, the bump zone is taken as an example to reconstruct a more arbitrary 3D road model through isomorphism of special road surface with stochastic road surface model. Measurement is taken to assume the tire footprint on road surface to be a rectangle, where the pressure distribution is expressed with mean stiffness, while the contact points in the contact area are replaced with a number of springs. Two‐DOF vehicle is used as an example to analyze the difference between three‐dimensional multipoint‐and‐plane contact and traditional point contact model. Three‐dimensional road surface spectrum provides a more accurate description of the impact effect of tire on road surface, thereby laying a theoretical basis for studies on the dynamical process of interaction of vehicle‐road surface and the road friendliness.
Highlights
To effectively achieve the active safety control of vehicle, it is essential to attain the status and tire-pavement friction coefficient for a running vehicle, which is based on the consideration of interaction between vehicle and road surface in real time
The fact is that the inadequate description of road surface morphology details by existing road surface spectrum models is restricting the study on vehicle-road interaction
In the field of road engineering, road transportation safety is principally studied from perspective of road skid resistance, and road surface topography is considered to be significantly associated with skid resistance of road surface (Kane et al 2013; Wang et al 2014) [1, 2]
Summary
To effectively achieve the active safety control of vehicle, it is essential to attain the status and tire-pavement friction coefficient for a running vehicle, which is based on the consideration of interaction between vehicle and road surface in real time. According to a series of researches of PIARC, it is sure that microtexture refers to the morphology with horizontal wavelength of less than 0.5 mm and vertical amplitude ranging from 0 to 0.2 mm, which principally characterizes the surface asperity of aggregate particles and has effect on the actual contact area between tire/road surfaces. Kokkalis et al (2002) [10] proposed a roughness function combining fractal dimension and scale coefficient to describe road surface topography, finding that the skid resistance of asphalt concrete pavement is well correlated with the roughness function value. The coupling between three-dimensional road surface spectrum and three-dimensional tire is analyzed, while a comparative analysis is done between multipointand-plane contact and point contact between tire and rough road surface It provides a theoretical basis for studies on the dynamic process of interaction between vehicle and road surface, vehicle ride comfort, and road friendliness
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