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Laplace distribution models for road topography and roughness

Johannesson, Pär; Podgorski, Krzysztof LU and Rychlik, Igor (2015) In Working Papers in Statistics
Abstract
Gaussian models are frequently used for road profiles. 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.
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author
organization
publishing date
type
Working Paper
publication status
published
subject
keywords
Road profile, topography, road roughness, generalized Laplace distribution, non-Gaussian process, autoregressive process, power spectral density, (PSD), ISO spectrum, international roughness index (IRI), vehicle durability, fatigue damage
in
Working Papers in Statistics
issue
14
pages
44 pages
publisher
Department of Statistics, Lund university
language
English
LU publication?
yes
id
14b319af-8618-434e-971f-3f330dc09a31 (old id 8310031)
date added to LUP
2015-12-09 16:35:07
date last changed
2016-04-16 08:08:34
@misc{14b319af-8618-434e-971f-3f330dc09a31,
  abstract     = {Gaussian models are frequently used for road profiles. 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.},
  author       = {Johannesson, Pär and Podgorski, Krzysztof and Rychlik, Igor},
  keyword      = {Road profile,topography,road roughness,generalized Laplace distribution,non-Gaussian process,autoregressive process,power spectral density,(PSD),ISO spectrum,international roughness index (IRI),vehicle durability,fatigue damage},
  language     = {eng},
  note         = {Working Paper},
  number       = {14},
  pages        = {44},
  publisher    = {Department of Statistics, Lund university},
  series       = {Working Papers in Statistics},
  title        = {Laplace distribution models for road topography and roughness},
  year         = {2015},
}