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Stability of Singular Periodic Motions in a Vibro-Impact Oscillator

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Abstract

A single-degree-of-freedom vibro-impact oscillator is considered. Forsome values of parameters, a non-differentiable fixed point of thePoincaré map exists: a local expansion of the Poincaré map around such apoint is given, including a square root term on the impact side. Fromthis approximate map, the stability of the fixed point can beinvestigated, and it is shown that the periodic solution is stable whenthe Floquet multipliers are real.

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Authors and Affiliations

  1. Ecole Nationale des Travaux Publics de l'Etat, Laboratoire GéoMatériaux, URA-CNRS 1652, Rue Maurice Audin, 69518, Vaulx-En-Velin Cedex, France

    O. Janin & C. H. Lamarque

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  1. O. Janin
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  2. C. H. Lamarque
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Janin, O., Lamarque, C.H. Stability of Singular Periodic Motions in a Vibro-Impact Oscillator. Nonlinear Dynamics 28, 231–241 (2002). https://doi.org/10.1023/A:1015632510298

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  • DOI: https://doi.org/10.1023/A:1015632510298

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