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Laplace distribution models for road topography and roughness

Journal article
Authors Pär Johannesson
Krzysztof Podgorski
Igor Rychlik
Published in International Journal of Vehicle Performance
Volume 3
Issue 3
Pages 224-258
ISSN 1745-3194
Publication year 2017
Published at Department of Mathematical Sciences
Pages 224-258
Language en
Keywords 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
Subject categories Mathematics, Mathematical statistics


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.

Page Manager: Webmaster|Last update: 9/11/2012

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