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Testing a bead-rod contact with a nonlinear resonance method

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 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 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.
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https://hal.archives-ouvertes.fr/hal-02325907
Contributeur : Vincent Tournat <>
Soumis le : vendredi 6 décembre 2019 - 09:15:00
Dernière modification le : vendredi 16 avril 2021 - 16:48:01
Archivage à long terme le : : samedi 7 mars 2020 - 12:43:59

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A. Merkel, G. Theocharis, F. Allein, J.-P. Groby, Vitali Goussev, et al.. Testing a bead-rod contact with a nonlinear resonance method. Journal of Sound and Vibration, Elsevier, 2019, 441, pp.84-95. ⟨10.1016/j.jsv.2018.10.026⟩. ⟨hal-02325907⟩

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