Nonlinear Hysteretic Torsional Waves

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 r...

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Bibliographic Details
Published in:Physical review letters 2015-07, Vol.115 (5), p.054301-054301, Article 054301
Main Authors: Cabaret, J, Béquin, P, Theocharis, G, Andreev, V, Gusev, V E, Tournat, V
Format: Article
Language:English
Subjects:
Accelerometry - methods
Acoustics
Angular velocity
Attenuation
Beads
Distortion
Dynamic response
Electromagnetic Radiation
Hysteresis
Magnets
Mathematical models
Mechanics
Models, Theoretical
Nonlinear Dynamics
Nonlinearity
Physics
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Summary: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.
ISSN:0031-9007
1079-7114
DOI:10.1103/PhysRevLett.115.054301