Hysteretic nonlinear rotational waves in granular chainстатья
Статья опубликована в высокорейтинговом журнале
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Дата последнего поиска статьи во внешних источниках: 9 октября 2015 г.
Аннотация: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.