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An Analysis of the 1/2 Superharmonic Contact Resonance

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Dynamical Systems: Theoretical and Experimental Analysis

Part of the book series: Springer Proceedings in Mathematics & Statistics ((PROMS,volume 182))

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.

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Correspondence to Robert Kostek .

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Kostek, R. (2016). An Analysis of the 1/2 Superharmonic Contact Resonance. In: Awrejcewicz, J. (eds) Dynamical Systems: Theoretical and Experimental Analysis. Springer Proceedings in Mathematics & Statistics, vol 182. Springer, Cham. https://doi.org/10.1007/978-3-319-42408-8_17

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