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Portrait of Krzysztof Podgórski. Photo.

Krzysztof Podgórski

Professor, Head of the Department of Statistics

Portrait of Krzysztof Podgórski. Photo.

Laplace distribution models for road topography and roughness

Author

  • Pär Johannesson
  • Krzysztof Podgórski
  • Igor Rychlik

Summary, in English

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.

Department/s

  • Department of Statistics

Publishing year

2017

Language

English

Pages

224-258

Publication/Series

International Journal of Vehicle Performance

Volume

3

Issue

3

Document type

Journal article

Publisher

Inderscience Publishers

Topic

  • Engineering and Technology
  • Probability Theory and Statistics

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

Status

Published

ISBN/ISSN/Other

  • ISSN: 1745-3194