An analysis of flexural wave band gaps of locally resonant beams with continu…

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 flexura…