An analysis of the 1/2 superharmonic contact resonance

Abstract

This paper presents a study of non-linear normal contact vibrations, excited by an external harmonic force, in a system containing two bodies being in a planar contact; the system models, for instance the positioning systems. The contact vibrations are associated with strongly non-linear phenomena like: asymmetry of vibrations, loss of contact, bending resonance peak, multistability, period-doubling bifurcations, chaotic vibrations, chaotic transient; which are observed for the ½ superharmonic resonance. The main aim of this article is presentation evolution of the ½ superharmonic contact resonance under various excitation amplitudes. These vibrations change from periodic to chaotic motion, and then the ½ superharmonic resonance divides into two separate parts.