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- W2766708712 abstract "Granular crystals are periodic or structured arrangements of elastic particles in contact. This work is devoted to theoretical and experimental study of the elastic wave propagation through such structures.A one-dimensional granular crystal composed of steel spherical beads coupled to permanent magnets placed in a substrate is first studied. Static forces at the contact between beads, determining the wave propagation and dispersion characteristics, are induced by the magnetic field from the magnets. This configuration enables tuning the dynamic response of the chain by modifying the magnetic strength of the magnets. A linear model taking into account all degrees of freedom of the beads (three translations and three rotations) as well as all elastic couplings (longitudinal, shear and torsional), between the beads and between the beads and the substrate is developed. This model provides the dispersionrelations of the modes in the system for different coupling parameters. The associated experiments confirm the elastic propagation of modes with micro-rotation of beads and demonstrate the pertinence of the model for the system description. Several interesting effects on the dispersion are observed and discussed, zero group velocity modes, soft modes. . .In a second part, we take into account the nonlinearities originating from the contacts to predict and then observe experimentally the second harmonic generation. The filtering of harmonics along with conversion from longitudinal to coupled transversalrotational modes in granular structures, is also observed for a configuration deviating from simple one-dimensional chains. This work opens the way for interesting applications in elastic wave control, in the nonlinear regime, with structured granular devices." @default.
- W2766708712 created "2017-11-10" @default.
- W2766708712 creator A5074141760 @default.
- W2766708712 date "2017-06-14" @default.
- W2766708712 modified "2023-10-02" @default.
- W2766708712 title "Linear and Nonlinear Waves in Magneto-granular Phononic Structures : Theory and Experiments" @default.
- W2766708712 hasPublicationYear "2017" @default.
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