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Title of Journal: Comput Mech

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Abbravation: Computational Mechanics

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Springer Berlin Heidelberg

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DOI

10.1007/bf02659557

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1432-0924

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Direct numerical simulation of the dynamics of sli

Authors: Viet Hung Dang Joel PerretLiaudet Julien Scheibert Alain Le Bot
Publish Date: 2013/05/22
Volume: 52, Issue: 5, Pages: 1169-1183
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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 microasperities 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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