Analysis of time-varying mechanical systems using the method of impulsive parametric excitation

Thomas Pumhössel, Peter Hehenberger

Research output: Contribution to journalConference articlepeer-review

Abstract

In this contribution, dynamical systems with time-varying parameters are described by a set of difference equations using the method of impulsive parametric excitation. It is shown that this description allows to get a detailed insight into the effect of time-varying parameters to the modal energy content of mechanical systems and enables to analyze mechanical systems, but also to apply parametric excitation in order to affect the energy content of mechanical systems in a desired manner. It is demonstrated with a simple example, that therewith a prediction of the required parametric excitation to transfer energy across modes of vibration and/or to extract energy from mechanical systems is possible, which results in a much faster decay of vibrations compared to the case where only natural damping is present.

Original languageEnglish
Pages (from-to)75-80
Number of pages6
JournalIFAC-PapersOnLine
Volume28
Issue number1
DOIs
Publication statusPublished - 1 Feb 2015
Event8th Vienna International Conference on Mathematical Modelling, MATHMOD 2015 - Vienna, Austria
Duration: 18 Feb 201520 Feb 2015

Keywords

  • Impulsive parametric excitation
  • Modelling
  • Transfer/extraction of energy

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