Validation of vibro-impact force models by numerical simulation, perturbation methods and experiments

Published in Journal of Sound and Vibration, 2017

Highlights

  • Comparison of three different impact force models.
  • Simple analytical frequency-amplitude relations are obtained and experimentally validated for the impact force models considered.
  • Parameter analysis of the impact force models.

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.

Recommended citation: G. F. S. Rebouças, I. F. Santos, and J. J. Thomsen. Journal of Sound and Vibration 413 (2018) 291–307
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