The quantitative description is given to three-dimensional micro and macro self-similar characteristics of road surface from\nthe perspective of fractal geometry using FBM stochastic midpoint displacement and diamond-square algorithm in conjunction\nwith fractal characteristics and statistical characteristics of standard pavement determined by estimation method of box-counting\ndimension.Thecomparative analysis between reconstructed three-dimensional road surface spectrum and theoretical road surface\nspectrum and correlation coefficient demonstrate the high reconstruction accuracy of fractal reconstructed road spectrum.\nFurthermore, the bump zone is taken as an example to reconstruct amore arbitrary 3D road model through isomorphism of special\nroad surface with stochastic road surface model.Measurement is taken to assume the tire footprint on road surface to be a rectangle,\nwhere the pressure distribution is expressed with mean stiffness, while the contact points in the contact area are replaced with a\nnumber of springs. Two-DOF vehicle is used as an example to analyze the difference between three-dimensional multipoint-andplane\ncontact and traditional point contactmodel.Three-dimensional road surface spectrum provides amore accurate description\nof the impact effect of tire on road surface, thereby laying a theoretical basis for studies on the dynamical process of interaction of\nvehicle-road surface and the road friendliness.
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