Testing a bead-rod contact with a nonlinear resonance method Articles uri icon

authors

  • MERKEL, AURELIEN PAUL LUCIEN
  • THEOCHARIS, G.
  • ALLEIN, F.
  • GROBY, J. P.
  • GUSEV, V.
  • TOURNANT, V.

publication date

  • February 2019

start page

  • 84

end page

  • 95

volume

  • 441

International Standard Serial Number (ISSN)

  • 0022-460X

Electronic International Standard Serial Number (EISSN)

  • 1095-8568

abstract

  • We study the dynamics of an elastic structure composed of a cylindrical rod in contact with a bead at one extremity. Wave propagation within the cylindrical rod is considered linear and dispersionless while the bead-rod contact shows a highly nonlinear behavior as expected from the Hertz's model of contact. The resonance curves of the nonlinear contact depend on the excitation amplitude, where a downshift of the resonance frequency with increasing excitation amplitude is observed. The prediction of the resonance frequency shift by the Hertz's model is compared to the experimental results and shows a disagreement. A better agreement is found by considering the losses with a viscoelastic model, namely the Kuwabara and Kono or Brilliantov model. The observation of the nonlinear effects linked to the resonance of the mass-spring system can lead to the design of nonlinear elastic metamaterials, where the wave propagation is controlled by nonlinear isolated resonators. (C) 2018 Elsevier Ltd. All rights reserved.

keywords

  • nonlinear resonance; elastic waves; granular; granular medium; waves; adhesion; spheres; forces; energy