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Shock and Vibration
Volume 16 (2009), Issue 5, Pages 481-493

Identification of Friction Parameters for Limited Relative Displacement Contacts

Maxime Couillard, Patrice Masson, and Philippe Micheau

GAUS, Mechanical Engineering Department, Université de Sherbrooke, Sherbrooke, QC, J1K 2R1, Canada

Received 6 May 2008; Revised 2 September 2008

Copyright © 2009 Hindawi Publishing Corporation. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


Damping using dry friction has long been recognized as an effective control method for many vibration problems. However, given the strong nonlinear nature of friction, the theoretical and experimental investigations of associated non-linear control methods are much more difficult than for linear control methods. Moreover, the difficulty of identifying friction models parameters for Limited Relative Displacement (LRD) contacts is still a subject of research. This study first proposes an identification procedure to evaluate the ability of the LuGre friction model to predict small amplitude (30 μm–150 μm) frictionally damped vibrations for a LRD contact. An experimental setup implementing an ideal frictionally damped Single Degree Of Freedom (SDOF) oscillator connected to an electrodynamic shaker is then presented to study friction damping. The simulation results are assessed against the experimental results, demonstrating that the identification procedure is well suited to estimate the parameters of the LuGre friction model and that the model captures very well the friction phenomenon for small amplitude vibrations.