An Introduction to Parametric Resonance

  • Jonatan Peña-RamírezEmail author
  • Rob H. B. Fey
  • Henk Nijmeijer


In many engineering, physical, electrical, chemical, and biological systems, oscillatory behavior of the dynamic system due to periodic excitation is of great interest. Two kinds of oscillatory responses can be distinguished: forced oscillations and parametric oscillations. Forced oscillations appear when the dynamical system is excited by a periodic input. If the frequency of an external excitation is close to the natural frequency of the system, then the system will experience resonance, i.e. oscillations with a large amplitude.


Parametric Resonance Primary System Roll Resonance Secondary System Parametric Roll 
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Copyright information

© Springer Science+Business Media, LLC 2012

Authors and Affiliations

  • Jonatan Peña-Ramírez
    • 1
    Email author
  • Rob H. B. Fey
    • 1
  • Henk Nijmeijer
    • 1
  1. 1.Department of Mechanical EngineeringEindhoven University of TechnologyEindhovenThe Netherlands

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