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Laplace distribution models for road topography and roughness

Johannesson, Pär ; Podgórski, Krzysztof LU and Rychlik, Igor (2017) In International Journal of Vehicle Performance 3(3). p.224-258
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.
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author
; and
organization
publishing date
type
Contribution to journal
publication status
published
subject
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
in
International Journal of Vehicle Performance
volume
3
issue
3
pages
35 pages
publisher
Inderscience Publishers
external identifiers
  • scopus:85048889321
ISSN
1745-3194
DOI
10.1504/IJVP.2017.085032
language
English
LU publication?
yes
id
63465c84-8ac4-45f8-b99e-c8f1a05ade63
date added to LUP
2017-12-16 17:22:38
date last changed
2022-02-14 23:51:35
@article{63465c84-8ac4-45f8-b99e-c8f1a05ade63,
  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.}},
  author       = {{Johannesson, Pär and Podgórski, Krzysztof and Rychlik, Igor}},
  issn         = {{1745-3194}},
  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}},
  language     = {{eng}},
  number       = {{3}},
  pages        = {{224--258}},
  publisher    = {{Inderscience Publishers}},
  series       = {{International Journal of Vehicle Performance}},
  title        = {{Laplace distribution models for road topography and roughness}},
  url          = {{http://dx.doi.org/10.1504/IJVP.2017.085032}},
  doi          = {{10.1504/IJVP.2017.085032}},
  volume       = {{3}},
  year         = {{2017}},
}