Laplace distribution models for road topography and roughness. Issue 3 (2017)

• Record Type: Journal Article
• Authors: Johannesson, Par; Podgórski, Krzysztof; Rychlik, Igor
• Is Part Of: International journal of vehicle performance. Volume 3: Issue 3(2017)
• Page Start: 224
• Page End: 258
• Publication Date: 2017
• Subjects: road profile -- topography -- road roughness -- generalised Laplace distribution -- non-Gaussian process -- autoregressive process -- PSD -- power spectral density -- ISO spectrum -- IRI -- international roughness index -- fatigue damage; Vehicles -- Design and construction -- Periodicals; 629.049
• Languages: English
• ISSNs: 1745-3194

Abstract

Gaussian models are frequently used for road elevations. However, these models are often only valid for short sections of the road. Here we present a comprehensive approach to describe various aspects of road surface/elevation by using extensions of Gaussian models arising from random gamma distributed variances. These random variances result in the Laplace distribution and thus we refer to the so defined models as Laplace models. The approach is shown to perform well in modelling road topography, road roughness and multi-valued responses of forces and bending moments containing transients. The different Laplace models are presented together with numerical examples and Matlab code for simulation.