Superharmonic Resonance of Order 2 for an Impacting Hertzian Contact Oscillator: Theory and Experiments

The purpose of this paper is to investigate experimental responses of a preloaded vibroimpact Hertzian contact to an order 2 superharmonic excitation. A test rig is used, corresponding to a double sphere-plane contact preloaded by the weight of a moving body. Typical response curves are obtained kinder the superharmonic excitation. The Hertzian non linearity constitutes the precursor of vibroimpacts established over a wide frequency range. This behaviour can be related to the existence of a transcritical bifurcation. In conjuction with the experiments, numerical results lead to the same conclusion. In particular, the threshold level of the excitation necessary to induce vibroimpact is confirmed.Copyright © 2005 by ASME

[1]  A. Nayfeh.  The response of single degree of freedom systems with quadratic and cubic non-linearities to a subharmonic excitation , 1983 .

[2]  A. Soom,et al.  Interactions Between Dynamic Normal and Frictional Forces During Unlubricated Sliding , 1983 .

[3]  J. Sabot,et al.  Non-Linear Vibrations of a SPHERE-PLANE Contact Excited by a Normal Load , 1998 .

[4]  Andres Soom,et al.  Normal vibrations and friction at a Hertzian contact under random excitation: Theory and experiments , 1992 .

[5]  Résonance surharmonique d'ordre deux dans un contact sphère-plan , 1997 .

[6]  Mikael Pärssinen.  Hertzian contact vibrations under random external excitation and surface roughness , 1998 .

[7]  A. Soom,et al.  Roughness-Induced Dynamic Loading at Dry and Boundary-Lubricated Sliding Contacts , 1983 .

[8]  E. Rigaud,et al.  Response of an impacting Hertzian contact to an order-2 subharmonic excitation : Theory and experiments , 2006, physics/0701066.

[9]  K. Johnson,et al.  Surface corrugations spontaneously generated in a rolling contact disc machine , 1971 .

[10]  A. Nayfeh,et al.  Applied nonlinear dynamics : analytical, computational, and experimental methods , 1995 .

[11]  R. Seydel.  Practical bifurcation and stability analysis : from equilibrium to chaos , 1994 .

[12]  Andres Soom,et al.  Simulation of Random Surface Roughness-Induced Contact Vibrations at Hertzian Contacts During Steady Sliding , 1986 .

[13]  V. Babitsky.  Theory of Vibro-Impact Systems and Applications , 2013 .

[14]  E. Rigaud,et al.  Experiments and numerical results on non-linear vibrations of an impacting Hertzian contact. Part 1: harmonic excitation , 2003, physics/0701032.

[15]  A. Soom,et al.  Normal Vibrations and Friction Under Harmonic Loads: Part I—Hertzian Contacts , 1991 .

[16]  K. Johnson.  Contact Mechanics: Frontmatter , 1985 .