4.7 Article

Local resonance and Bragg bandgaps in sandwich beams containing periodically inserted resonators

Journal

JOURNAL OF SOUND AND VIBRATION
Volume 364, Issue -, Pages 133-146

Publisher

ACADEMIC PRESS LTD- ELSEVIER SCIENCE LTD
DOI: 10.1016/j.jsv.2015.11.019

Keywords

Flexural wave attenuation; Periodic structure; Local resonance bandgap; Bragg bandgap; bandgap interaction

Funding

  1. Office of Naval Research [N00014-11-1-0580]

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We study the low frequency wave propagation behavior of sandwich beams containing periodically embedded internal resonators. A closed form expression for the propagation constant is obtained using a phased array approach and verified using finite element simulations. We show that local resonance and Bragg bandgaps coexist in such a system and that the width of both bandgaps is a function of resonator parameters as well as their periodicity. The interaction between the two bandgaps is studied by varying the local resonance frequency. We find that a single combined bandgap does not exist for this system and that the Bragg bandgaps transition into sub-wavelength bandgaps when the local resonance frequency is above their associated classical Bragg frequency. (C) 2015 Elsevier Ltd. All rights reserved.

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