Sub-harmonic resonant solutions of a harmonically excited dry friction oscillator

G. Csernák, G. Stépán, S. W. Shaw

Research output: Contribution to journalArticle

20 Citations (Scopus)

Abstract

Special sub-harmonic solutions of a harmonically forced dry-friction oscillator are analysed. Although the typical non-sticking solutions are stable and symmetric, a continuum of possible asymmetric, marginally stable solutions exist at excitation frequencies Ω = 1/2n. We determine the explicit form of the one-parameter family of these solutions, and give the conditions under which our formulae are valid. The stability of the solutions is examined in the third-order approximation. Finally, our analytical results are checked by numerical simulations.

Original languageEnglish
Pages (from-to)93-109
Number of pages17
JournalNonlinear Dynamics
Volume50
Issue number1-2
DOIs
Publication statusPublished - Oct 2007

Fingerprint

Subharmonic Solutions
Dry Friction
Stable Solution
Subharmonics
Continuum
Excitation
Valid
Friction
Numerical Simulation
Approximation
Computer simulation
Form
Family

Keywords

  • Asymmetric solutions
  • Coexisting solutions
  • Coulomb friction
  • Marginal stability
  • Normal form transformation

ASJC Scopus subject areas

  • Mechanical Engineering
  • Mechanics of Materials
  • Computational Mechanics

Cite this

Sub-harmonic resonant solutions of a harmonically excited dry friction oscillator. / Csernák, G.; Stépán, G.; Shaw, S. W.

In: Nonlinear Dynamics, Vol. 50, No. 1-2, 10.2007, p. 93-109.

Research output: Contribution to journalArticle

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