Laplace distribution models for road topography and roughness
Journal article, 2017
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.
topography
ISO spectrum
non-Gaussian process
road profile
international roughness index
IRI
generalised Laplace distribution
autoregressive process
power spectral density
road roughness
fatigue damage.
PSD
Author
Pär Johannesson
Krzysztof Podgorski
Igor Rychlik
Chalmers, Mathematical Sciences
University of Gothenburg
International Journal of Vehicle Performance
1745-3194 (ISSN) 1745-3208 (eISSN)
Vol. 3 3 224-258Areas of Advance
Transport
Subject Categories (SSIF 2011)
Mathematics
Probability Theory and Statistics
DOI
10.1504/IJVP.2017.085032