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arXiv · 1503.09048

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

Bhisham Sharma·Chin-Teh Sun
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Abstract

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.

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Bhisham Sharma, Chin-Teh Sun. 2015-03-31. Local resonance and Bragg bandgaps in sandwich beams containing periodically inserted resonators. https://doi.org/10.1016/j.jsv.2015.11.019

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