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An analysis of flexural wave band gaps of locally resonant beams with continuum beam resonators
Abstract
Locally-resonant (LR) phononic meta-materials and structures have a potential for wide bandgaps of elastic wave attenuation in low frequency range. In this paper, we investigate a use of continuum
beam resonators suspended periodically on an Euler–Bernoulli beam. In a mathematical analysis based on
Floquet–Bloch’s theorem, we describe the dispersive characteristics of flexural wave attenuation. Our results show richer dispersion properties in the LR structures with periodically attached continuum resonators of distributed degrees of freedom than those with the conventional force-only resonators. In particular, we identify the appearance of a wide composite band gap of local resonance and Bragg-scattering types and its potentials for low-frequency applications.
Keywords : Locally resonant band gaps, Band gaps, Beam resonators, Phononic crystals
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