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SD Oscillator with Friction and Impacts

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A Smooth and Discontinuous Oscillator

Part of the book series: Springer Tracts in Mechanical Engineering ((STME))

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Abstract

This chapter extends the analysis of the SD oscillator to situations involving coupling with other nonlinearities or higher dimensional motions. The SD oscillator is a strictly one-dimensional dynamical system moving along a given line, now friction will be added as a constraint for the sliding along this line. If this constraint is removed, the system becomes two dimensional, which in turn implies that another constraint must be added to separate permanent sliding motions from jumping effects.

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Notes

  1. 1.

    This chapter relies on the common work with Professor Elaine Pratt, Department of Mathematics, Aix-Marseille University and CNRS, Laboratoire de Mécanique et d’Acoustique, 4, Impasse Nikola Tesla, CS 40006, 13453 Marseille Cedex 13, France, and Dr. Zhixin Li, Centre for Nonlinear Dynamics Research, School of Astronautics, Harbin Institute of Technology, Harbin 150001 China.

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Author information

Authors and Affiliations

  1. School of Astronautics, Harbin Institute of Technology, Harbin, China

    Qingjie Cao

  2. Laboratoire de Mécanique et d’Acoustique, CNRS, Marseille Cedex13, France

    Alain Léger

Authors
  1. Qingjie Cao
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  2. Alain Léger
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Correspondence to Qingjie Cao .

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Cao, Q., Léger, A. (2017). SD Oscillator with Friction and Impacts. In: A Smooth and Discontinuous Oscillator. Springer Tracts in Mechanical Engineering. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-53094-8_11

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  • DOI: https://doi.org/10.1007/978-3-662-53094-8_11

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-662-53092-4

  • Online ISBN: 978-3-662-53094-8

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