Krzysztof Podgórski
Professor, Head of the Department of Statistics
Laplace distribution models for road topography and roughness
Author
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