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Two Dimensional Map for Impact Oscillator with Drift

  • Ekaterina E. Pavlovskaia
  • Marian Wiercigroch
Conference paper
  • 1.3k Downloads
Part of the Solid Mechanics and its Applications book series (SMIA, volume 122)

Abstract

An impact oscillator with a drift is considered. Using a simple co-ordinates transformation the bounded oscillations are separated from the drift. In general the dynamic state of the system is fully described by four variables: time, τ, relative displacement, p, and velocity, y, of the mass and relative displacement of the slider top, q. However, this number can be reduced by two if the beginning of the progression phase is monitored. In this paper a new two dimensional numerical map is developed and its dynamics is discussed.

Key words

Impact oscillator drift two dimensional map bifurcations 

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Copyright information

© Springer 2005

Authors and Affiliations

  • Ekaterina E. Pavlovskaia
    • 1
  • Marian Wiercigroch
    • 1
  1. 1.Centre for Applied Dynamics Research, School of Engineering and Physical SciencesKings College University of AberdeenScotland, UK

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