Fractal properties and characterization of road profiles

Pierrick Legrand 1 Jacques Lévy Véhel 2, 1 Do Minh Tan 3
1 IRCCyN - Institut de Recherche en Communications et en Cybernétique de Nantes
2 FRACTALES - Fractals, complex models and artificial evolution
Inria Paris-Rocquencourt
3 Laboratoire Central des Ponts et Chaussées - Nantes
Abstract : A major problem in road engineering is to understand the mechanisms of friction between rubber and the road. We study road profiles obtained using tactile and laser captors. these profiles belong to different category characterized by different friction coefficients. We find that all our profiles indeed display strong fractal behaviour in terms of both correlation exponents and regularization dimension over a large range of scales. However, neither of these fractal parameters seem to be related to friction. We then use a local fractal parameter, namely the pointwise Holder exponent. We show that this exponent does discriminate profiles which have different friction properties.
Type de document :
Communication dans un congrès
FRACTAL04, Complexity and Fractals in Nature, 8th International Multidisciplinary Conference, Apr 2004, Vancouver, Canada. Thinking in Patterns : fractals and related phenomena in nature, pp.189-198, 2004
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Contributeur : Lisandro Fermin <>
Soumis le : mardi 15 mars 2011 - 18:07:42
Dernière modification le : mercredi 19 décembre 2018 - 15:02:04
Document(s) archivé(s) le : jeudi 8 novembre 2012 - 11:45:38

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Pierrick Legrand, Jacques Lévy Véhel, Do Minh Tan. Fractal properties and characterization of road profiles. FRACTAL04, Complexity and Fractals in Nature, 8th International Multidisciplinary Conference, Apr 2004, Vancouver, Canada. Thinking in Patterns : fractals and related phenomena in nature, pp.189-198, 2004. 〈inria-00576467〉

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