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Porträtt av Krzysztof Podgórski. Foto.

Krzysztof Podgórski

Prefekt Statistiska institutionen, Professor

Porträtt av Krzysztof Podgórski. Foto.

Laplace distribution models for road topography and roughness

Författare

  • Pär Johannesson
  • Krzysztof Podgorski
  • Igor Rychlik

Summary, in English

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.

Avdelning/ar

  • Statistiska institutionen

Publiceringsår

2015

Språk

Engelska

Publikation/Tidskrift/Serie

Working Papers in Statistics

Issue

14

Dokumenttyp

Working paper

Förlag

Department of Statistics, Lund university

Ämne

  • Probability Theory and Statistics

Nyckelord

  • 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

Aktiv

Published