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Vibro-impact forced oscillations of a heavy mass particle along a rough circle excited by a single-frequency force

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Abstract

The first part of the article presents a motion analysis of a vibro-impact system based on an oscillator moving along a rough circle line in a vertical plane, under the action of an external single-frequency force. Non-ideality of the bond originates of sliding Coulomb’s type friction force with coefficient μ = tg α 0. The oscillator consists of one heavy mass particle whose forced motion is limited by one stabile angular elongation limiter. The differential equation of motion of the analyzed vibro-impact system cannot be solved explicitly (in closed form). For its approximately solving, the software package WOLFRAM Mathematica 7 is used. The results are checked by using the software package MATLAB R2008a. The combination of the analytical–numerical results for the defined parameters of the analyzed vibro-impact system, is base for the motion analysis visualization, as a first part of this analytic research. In the second part, the influence of parameters (amplitude and circle frequency) of the external single-frequency force to the system motion, based on real geometry and kinetic parameters of the analyzed vibro-impact system, is investigated. As a result of this study in the second part of this article, there is a conclusion that the motion of the analyzed vibro-impact system in or out of the resonant area can be influenced, and this is significant for engineering practice.

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  1. Faculty of Technical Sciences, Kralja Petra I br. 149/12, Kosovska Mitrovica, 38 220, Serbia

    Srđan Jović & Vladimir Raičević

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  1. Srđan Jović
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  2. Vladimir Raičević
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Correspondence to Srđan Jović.

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Jović, S., Raičević, V. Vibro-impact forced oscillations of a heavy mass particle along a rough circle excited by a single-frequency force. Acta Mech 223, 1153–1168 (2012). https://doi.org/10.1007/s00707-012-0623-2

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  • DOI: https://doi.org/10.1007/s00707-012-0623-2

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