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Direct numerical simulation of the dynamics of sliding rough surfaces

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Abstract

The noise generated by the friction of two rough surfaces under weak contact pressure is usually called roughness noise. The underlying vibration which produces the noise stems from numerous instantaneous shocks (in the microsecond range) between surface micro-asperities. The numerical simulation of this problem using classical mechanics requires a fine discretization in both space and time. This is why the finite element method takes much CPU time. In this study, we propose an alternative numerical approach which is based on a truncated modal decomposition of the vibration, a central difference integration scheme and two algorithms for contact: The penalty algorithm and the Lagrange multiplier algorithm. Not only does it reproduce the empirical laws of vibration level versus roughness and sliding speed found experimentally but it also provides the statistical properties of local events which are not accessible by experiment. The CPU time reduction is typically a factor of 10.

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Acknowledgments

This work was performed within the framework of the Labex CeLyA of Université de Lyon, operated by the French National Research Agency (ANR-10-LABX-0060/ANR-11-IDEX-0007).

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Authors and Affiliations

  1. Laboratoire de Tribologie et Dynamique des Systmes, CNRS UMR 5513, Ecole Centrale de Lyon, 36 Avenue Guy de Collongue, 69134 , Ecully Cedex, France

    Viet Hung Dang, Joel Perret-Liaudet, Julien Scheibert & Alain Le Bot

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  1. Viet Hung Dang
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  2. Joel Perret-Liaudet
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  3. Julien Scheibert
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  4. Alain Le Bot
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Correspondence to Viet Hung Dang.

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Dang, V.H., Perret-Liaudet, J., Scheibert, J. et al. Direct numerical simulation of the dynamics of sliding rough surfaces. Comput Mech 52, 1169–1183 (2013). https://doi.org/10.1007/s00466-013-0870-7

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  • DOI: https://doi.org/10.1007/s00466-013-0870-7

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