Author(s)

S. Mekid & M. Bonis

Abstract

Numerical resolution of the contact vibrations under harmonic loads S. Mekid, M. Bonis Universite de Technologic de Compiegne, Division Systemes Mecaniques, B.P. 649, 60206 Compiegne, France ABSTRACT Nonlinear vibrations, induced between two elastic bodies in Hertzian contact, are studied. The purpose of this paper is to present a numerical resolution with the implicit temporal integration Newmark method including the use of the Newton Raphson algorithm to deal with the non-linear stiffness. The nonlinear character of the frequency response, as shown by precedent authors, is described numerically. The normal contact deflection under harmonic loads are smaller than in static conditions. Loss of contact may occur for a couple of materials with high elastic modulus. Applications to high precision engineering are enhanced. INTRODUCTION Elastic bodies in Hertzian contact vibrate as rigid masses on the nonlinear contact spring

Keywords