Model of coherence function of road unevenness in parallel tracks for vehicle simulation

The coherence function between road elevations of two parallel road tracks was identified. In total, 3492 road records were analysed. The mean empirical unbiased squared coherence function was fitted using 11 different analytical models. The best results were obtained for the Ammon and Bormann model and rational function. The goodness–of–fit was markedly improved in comparison with other currently used models (isotropic, exponential, quadratic, etc.). The results distinguish between asphalt concrete and cement concrete road surfaces. The influences of local road features (bumps, potholes, vertical faults, joints, etc.) and the road profile data pre–processing (low pass filtration and sampling interval) on the coherence function were analysed and found to have negligible effect.

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