An asymptotic hyperbolic-elliptic model for flexural-seismic metasurfaces.

ABSTRACT: We consider a periodic array of resonators, formed from Euler-Bernoulli beams, attached to the surface of an elastic half-space. Earlier studies of such systems have concentrated on compressional resonators. In this paper, we consider the effect of the flexural motion of the resonators, adapting a recently established asymptotic methodology that leads to an explicit scalar hyperbolic equation governing the propagation of Rayleigh-like waves. Compared with classical approaches, the asymptotic model yields a significantly simpler dispersion relation, with closed-form solutions, shown to be accurate for surface wave-speeds close to that of the Rayleigh wave. Special attention is devoted to the effect of various junction conditions joining the beams to the elastic half-space which arise from c

SUBMITTER: Wootton PT 

PROVIDER: S-EPMC6694312 | biostudies-literature | 2019 Jul

REPOSITORIES: biostudies-literature