Quasi-One-Dimensional Periodic Structure with Locally Resonant Band Gap

Author:

Wang Gang1,Wen Xisen1,Wen Jihong1,Liu Yaozong1

Affiliation:

1. Institute of Mechatronical Engineering, National University of Defense Technology, Changsha 410073, China and PBG Research Center, National University of Defense Technology, Changsha 410073, China

Abstract

The propagation of longitudinal elastic waves in quasi one-dimensional structure consisting of harmonic oscillators periodically jointed on a slender beam is studied. Sub-frequency locally resonant band gap with highly asymmetric attenuation is observed in both theoretical and experimental results, and both results match well. The stiffness and mass ratios are found analytically as two factors that influence the actual attenuation in the band gap of the locally resonant phononic crystals. The study on the weights of the two factors shows that the stiffness ratio is the key one. Thus, the reason for the mismatch between the regions of the sharp attenuation and the theoretical band gap in the locally resonant phononic crystals is discovered.

Publisher

ASME International

Subject

Mechanical Engineering,Mechanics of Materials,Condensed Matter Physics

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