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Simulation and stability analysis of impacting systems with complete chattering

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Abstract

This paper considers dynamical systems that are derived from mechanical systems with impacts. In particular we will focus on chattering—accumulation of impacts—for which local discontinuity mappings will be derived. We will first show how to use these mappings in simulation schemes, and secondly how the mappings are used to calculate the stability of limit cycles with chattering by solving the first variational equations.

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Authors and Affiliations

  1. Department of Mechanics, Royal Institute of Technology, 10044, Stockholm, Sweden

    Arne B. Nordmark

  2. Department of Applied Mathematics, School of Mathematics, Statistics and Applied Mathematics, National University of Ireland, Galway, University Road, Galway, Ireland

    Petri T. Piiroinen

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  1. Arne B. Nordmark
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  2. Petri T. Piiroinen
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Correspondence to Petri T. Piiroinen.

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Nordmark, A.B., Piiroinen, P.T. Simulation and stability analysis of impacting systems with complete chattering. Nonlinear Dyn 58, 85–106 (2009). https://doi.org/10.1007/s11071-008-9463-y

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  • DOI: https://doi.org/10.1007/s11071-008-9463-y

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