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Resonance oscillations in a mass-spring impact oscillator

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Abstract

We investigate the presence of asymptotically stable periodic oscillations in a time-periodic impact oscillator close to an isochronous one. A new averaging method is developed to account for the position of the obstacle and for the impact restitution coefficient, which do not appear in the classical smooth situation.

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Acknowledgments

The research is supported by NSF Grant CMMI-1436856 and by RFBR Grant 13-01-00347. The reports of anonymous referees helped to improve the paper and are very appreciated.

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Authors and Affiliations

  1. Department of Mathematics, Imperial College London, 180 Queens Gate, London , SW7 2AZ, UK

    J. Newman

  2. Department of Mathematical Sciences, University of Texas at Dallas, 800 West Campbell Road, Richardson, TX , 75080, USA

    O. Makarenkov

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Correspondence to O. Makarenkov.

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Newman, J., Makarenkov, O. Resonance oscillations in a mass-spring impact oscillator. Nonlinear Dyn 79, 111–118 (2015). https://doi.org/10.1007/s11071-014-1649-x

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