Proceedings of IDETC/CIE 2011 ASME 2011 International Design Engineering Technical Conferences & Computers and Information in Engineering Conference August 28-31, 2011, Washington, DC, USA DETC2011-47709 DRAFT: SOME EXPERIMENTAL AND ANALYTICAL RESULTS ON SELF-EXCITED VIBRATION OF A DYNAMIC SLIDING SYSTEM IN THE CASE OF STRIBECK LAW FOR FRICTION COEFFICIENT Julian Le Rouzic Joel Perret-Liaudet ∗ Alexandre Carbonelli Alain Le Bot Denis Mazuyer Laboratoire de Tribologie et Dynamique des Syst` emes UMR 5513 Ecole Centrale de Lyon, Universit´ e de Lyon Ecully, France Email: joel.perret-liaudet@ec-lyon.fr ABSTRACT The principal aim of this paper is to deal with friction- induced self-excited vibrations in the context of Stribeck law for friction coefficient. More precisely, the theoretical dynamic sys- tem under study consists of a single-degree-of-freedom mass- spring-damper oscillator subjected to a velocity-dependent fric- tional force as it slides on a conveyor belt, following a Stribeck law. We have analyzed the local stability of the static equilib- rium and described the created periodic cycle using the aver- aging method. Numerical continuation with Matcont software is also used for qualitative analysis of this non linear system. In or- der to validate the theoretical analysis, an original experimental device, the named Lug test rig developed in our laboratory, was employed. For a glass/elastomer contact lubricated with water, friction force and dynamic displacement have been measured. The appearance of the instabilities is explained in relation to the friction measurements. NOMENCLATURE c Viscous damping ratio ∗ Address all correspondence to this author. g T Fit function describing the transitional Mixed regime k Spring stiffness l Boundary power-law exponent m Moving mass n EHL power-law exponent p Dimensionless momentum response q Dimensionless displacement response q E Dimensionless equilibrium displacement state r Exponent characterizing the Mixed regime x Displacement response v Relative velocity ˜ v Dimensionless relative velocity A Dimensionless displacement response amplitude G Boundary power-law coefficient ˜ G Dimensionless Boundary power-law coefficient H EHL power-law coefficient ˜ H Dimensionless EHL power-law coefficient N Applied normal force R Function combining damping and fitted Stribeck functions S Used Stribeck fitted master function T Tangential friction force T s Maximum admissible static friction force 1