This paper presents the wave propagation in a tunable phononic crystal consisting of a porous hyperelastic magnetorheological elastomer (MRE) subjected to an external magnetic field. Finite deformations and magnetic induction influence phononic characteristics of the periodic structure through altering the geometry and material properties of the unit cell. The governing equations for incremental time-harmonic plane wave motions superimposed on a static predeformed media are derived. Analytical and finite element (FE) methods are used to investigate dispersion relation and band structure of the phononic crystal for different levels of deformation and applied magnetic induction. It is demonstrated that large deformations and magnetic induction could transform the location and width of band-gaps.
Band-Gap of a Soft Magnetorheological Phononic Crystal
Department of Mechanical Engineering,
Contributed by the Technical Committee on Vibration and Sound of ASME for publication in the JOURNAL OF VIBRATION AND ACOUSTICS. Manuscript received April 1, 2014; final manuscript received September 5, 2014; published online November 12, 2014. Assoc. Editor: Mohammed Daqaq.
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Bayat, A., and Gordaninejad, F. (February 1, 2015). "Band-Gap of a Soft Magnetorheological Phononic Crystal." ASME. J. Vib. Acoust. February 2015; 137(1): 011011. https://doi.org/10.1115/1.4028556
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