On the use of non-Gaussian models for statistical description of road micro-surface profiles

Research output: Contribution to journal › Article › Research › peer review

Authors

  • Alexander Steinwolf
  • Matthias Wangenheim
  • Jörg Wallaschek

Research Organisations

External Research Organisations

  • AST Consulting Ltd.
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Details

Original languageEnglish
Pages (from-to)260-274
Number of pages15
JournalInternational Journal of Vehicle Systems Modelling and Testing
Volume13
Issue number3
Publication statusPublished - 8 Aug 2019

Abstract

When analysing vehicle-road interaction, probability density function (PDF) of random micro-surface is required. Since the asperity tops are polished by tyres stronger than the valley bottoms, the surface height profiles become asymmetrical. As a result, the PDFs of micro-surface signals are often different from the Gaussian model and one needs a non-Gaussian PDF model operating with skewness and kurtosis. Previous solutions by the Pearson and Johnson distributions do not lend themselves for further implementation in analytical form. To overcome this difficulty, a non-Gaussian PDF can be constructed from a few Gaussian sections with different mean values and standard deviations. To use such a piecewise-Gaussian model for analytical derivations, it is simply necessary to apply the classic Gaussian equation several times. An example of skewed PDF of micro-surface of an asphaltic concrete highway measured by a laser scanning system was adequately approximated by the tetra-Gaussian model consisting of four Gaussian sections.

Keywords

    Kurtosis, Non-Gaussian, Probability density function, Random micro-surface, Skewness, Vehicle-road interaction

ASJC Scopus subject areas

Cite this

On the use of non-Gaussian models for statistical description of road micro-surface profiles. / Steinwolf, Alexander; Wangenheim, Matthias; Wallaschek, Jörg.
In: International Journal of Vehicle Systems Modelling and Testing, Vol. 13, No. 3, 08.08.2019, p. 260-274.

Research output: Contribution to journal › Article › Research › peer review

Steinwolf, A, Wangenheim, M & Wallaschek, J 2019, 'On the use of non-Gaussian models for statistical description of road micro-surface profiles', International Journal of Vehicle Systems Modelling and Testing, vol. 13, no. 3, pp. 260-274. https://doi.org/10.1504/IJVSMT.2019.101551
Steinwolf, A., Wangenheim, M., & Wallaschek, J. (2019). On the use of non-Gaussian models for statistical description of road micro-surface profiles. International Journal of Vehicle Systems Modelling and Testing, 13(3), 260-274. https://doi.org/10.1504/IJVSMT.2019.101551
Steinwolf A, Wangenheim M, Wallaschek J. On the use of non-Gaussian models for statistical description of road micro-surface profiles. International Journal of Vehicle Systems Modelling and Testing. 2019 Aug 8;13(3):260-274. doi: 10.1504/IJVSMT.2019.101551
Steinwolf, Alexander ; Wangenheim, Matthias ; Wallaschek, Jörg. / On the use of non-Gaussian models for statistical description of road micro-surface profiles. In: International Journal of Vehicle Systems Modelling and Testing. 2019 ; Vol. 13, No. 3. pp. 260-274.
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