A Multi-Degree of Freedom Approach to Coefficient of Restitution Models for Impact Oscillators

  • D. J. Wagg
  • S. R. Bishop
Part of the Solid Mechanics and its Applications book series (SMIA, volume 72)


We consider the dynamics of a class of systems collectively known as impact oscillators. In general these consist of an oscillator system which has motion limiting constraints, against which system components can impact. Assuming that the time of impact is short compared to dynamical time, the simplest form mathematical model incorporates a coefficient of restitution rule at impact. Even if the motion between impacts is assumed to be linear, nonlinearity is introduced to the system by the nonsmooth effect of the impact. These systems have been widely studied in recent years after the work of Shaw and Holmes (1983).


Phase Portrait Residual Energy Single Degree Linear Oscillator Impact Oscillator 
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Copyright information

© Springer Science+Business Media Dordrecht 1999

Authors and Affiliations

  • D. J. Wagg
    • 1
  • S. R. Bishop
    • 1
  1. 1.Centre for Nonlinear DynamicsUniversity College London London

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