Periodic solutions finder for vibro-impact oscillator with a drift

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38 Citations (Scopus)


In this paper, an efficient semi-analytical method is developed to compute periodic solutions for a new model of an impact oscillator with a drift, which explains the progression mechanism in vibro-impact systems and can be used to optimize their performance. The method constructs a periodic response assuming that each period is comprised of a sequence of distinct phases for which analytical solutions are known. For example, a period may consist of the following sequential phases: (1) contact with progression, (11) contact without progression, (111) no contact and (IV) contact without progression. Using this information, a system of four piecewise linear first order differential equations is transformed to a system of non-linear algebraic equations. The method allows one to accurately predict a range of control parameters for which the best progression rates are obtained. (C) 2003 Elsevier Science Ltd. All rights reserved.

Original languageEnglish
Pages (from-to)893-911
Number of pages18
JournalJournal of Sound and Vibration
Issue number4
Early online date21 May 2003
Publication statusPublished - 30 Oct 2003

Bibliographical note

The authors would like to acknowledge the financial support from EPSRC under the Grant GR/N16341/01.


  • dry friction model
  • rate prediction
  • dynamics
  • vibrations


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