Testing a bead-rod contact with a nonlinear resonance method
Resume
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 exci- tation 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 agree- ment 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.
Keywords: Nonlinear resonance, Elastic waves, Granular.
Articles related to this work:
1 - Accepted manuscript : A. Merkel, G. Theocharis, F. Allein, J.-P. Groby, V. Gusev, V. Tournat, Testing a bead-rod contact with a nonlinear resonance method, Journal of Sound and Vibration 441, 84–95 (2019). PDF
