On the periodic response of a harmonically excited dry friction oscillator

Gábor Csernák, Gábor Stépán

Research output: Contribution to journalArticle

41 Citations (Scopus)


A harmonically excited dry friction oscillator is examined analytically and numerically. We search for 2 π / Ω-periodic non-sticking solutions, where Ω is the excitation frequency. Using the assumption that there are only two turnarounds during each cycle, we prove that the motion is symmetric in space and time at almost all the values of Ω. We also show that the parameter domain of non-sticking symmetric solutions is smaller than it was published in earlier contributions. The analytical results are confirmed by numerical simulation. We point out that a strange beating phenomenon may cause quite large numerical errors close to resonance.

Original languageEnglish
Pages (from-to)649-658
Number of pages10
JournalJournal of Sound and Vibration
Issue number3-5
Publication statusPublished - Aug 22 2006

ASJC Scopus subject areas

  • Condensed Matter Physics
  • Mechanics of Materials
  • Acoustics and Ultrasonics
  • Mechanical Engineering

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