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Nonlinear Hysteretic Torsional Waves

Abstract : We theoretically study and experimentally report the propagation of nonlinear hysteretic torsional pulses in a vertical granular chain made of cm-scale, self-hanged magnetic beads. As predicted by contact mechanics, the torsional coupling between two beads is found to be nonlinear hysteretic. This results in a nonlinear pulse distortion essentially different from the distortion predicted by classical nonlinearities and in a complex dynamic response depending on the history of the wave particle angular velocity. Both are consistent with the predictions of purely hysteretic nonlinear elasticity and the Preisach-Mayergoyz hysteresis model, providing the opportunity to study the phenomenon of nonlinear dynamic hysteresis in the absence of other types of material nonlinearities. The proposed configuration reveals a plethora of interesting phenomena including giant amplitude-dependent attenuation, short-term memory, as well as dispersive properties. Thus, it could find interesting applications in nonlinear wave control devices such as strong amplitude-dependent filters.
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Contributeur : Philippe Béquin <>
Soumis le : jeudi 30 janvier 2020 - 13:59:13
Dernière modification le : jeudi 7 janvier 2021 - 14:11:48

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J. Cabaret, Philippe Béquin, Georgios Theocharis, V. Andreev, V. e. Gusev, et al.. Nonlinear Hysteretic Torsional Waves. Physical Review Letters, American Physical Society, 2015, 115 (5), ⟨10.1103/PhysRevLett.115.054301⟩. ⟨hal-02461006⟩



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