Validation of Vibro-Impact Force Models by Numerical Simulation, Perturbation Methods and Experiments

Geraldo F. de Souza Reboucas, Ilmar F. Santos, Jon J. Thomsen

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Abstract

The frequency response of a single degree of freedom vibro-impact oscillator is analyzed using Harmonic Linearization, Averaging and Numeric Simulation, considering three different impact force models: one given by a piecewise-linear function (Kelvin-Voigt model), another by a high-order power function, and a third one combining the advantages of the other two. Experimental validation is carried out using control-based continuation to obtain the experimental frequency response, including its unstable branch.
Original languageEnglish
JournalJournal of Sound and Vibration
Volume413
Pages (from-to)291–307
ISSN0022-460X
DOIs
Publication statusPublished - 2018

Keywords

  • Vibro-impact dynamics
  • Impact force model
  • Kelvin-Voigt impact model
  • Power-law impact model
  • Vibro-impacting beam
  • Lumped mass beam
  • Experimental validation
  • Control-based continuation

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