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**Harvard**

Johannesson, P., Podgórski, K. och Rychlik, I. (2014) *Modelling roughness of road profiles on parallel tracks using roughness indicators*. (Preprint - Department of Mathematical Sciences, Chalmers University of Technology and Göteborg University, nr: 2014:4).

** BibTeX **

@unpublished{

Johannesson2014,

author={Johannesson, Pär and Podgórski, Krzysztof and Rychlik, Igor},

title={Modelling roughness of road profiles on parallel tracks using roughness indicators},

abstract={The vertical road input is the most important load for durability assessments of
vehicles. We focus on stochastic modelling of the parallel road profiles with the aim to find
a simple but still accurate model for such bivariate records. A model is proposed that is
locally Gaussian with randomly gamma distributed variances leading to a generalized Laplace
distribution of the road profile. This Laplace model is paired with the ISO spectrum and is
specified by only three parameters. Two of them can be estimated directly from a sequence of
roughness indicators, such as IRI or ISO roughness coefficient. The third parameter needed
to define the cross spectrum between the left and right road profiles is estimated from the
sample correlation. Explicit approximations for the expected fatigue damage for the proposed
Laplace-ISO model are developed and its usefulness is validated using measured road profiles.},

year={2014},

series={Preprint - Department of Mathematical Sciences, Chalmers University of Technology and Göteborg University, no: 2014:4},

note={28 s.},

}

** RefWorks **

RT Unpublished Material

SR Electronic

ID 193407

A1 Johannesson, Pär

A1 Podgórski, Krzysztof

A1 Rychlik, Igor

T1 Modelling roughness of road profiles on parallel tracks using roughness indicators

YR 2014

AB The vertical road input is the most important load for durability assessments of
vehicles. We focus on stochastic modelling of the parallel road profiles with the aim to find
a simple but still accurate model for such bivariate records. A model is proposed that is
locally Gaussian with randomly gamma distributed variances leading to a generalized Laplace
distribution of the road profile. This Laplace model is paired with the ISO spectrum and is
specified by only three parameters. Two of them can be estimated directly from a sequence of
roughness indicators, such as IRI or ISO roughness coefficient. The third parameter needed
to define the cross spectrum between the left and right road profiles is estimated from the
sample correlation. Explicit approximations for the expected fatigue damage for the proposed
Laplace-ISO model are developed and its usefulness is validated using measured road profiles.

T3 Preprint - Department of Mathematical Sciences, Chalmers University of Technology and Göteborg University, no: 2014:4

LA eng

LK http://www.math.chalmers.se/Math/Research/Preprints/2014/4.pdf

OL 30