Electro-mechanical coupling wave propagating in a locally resonant piezoelectric/elastic phononic crystal nanobeam with surface effects
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The model of a “spring-mass” resonator periodically attached to a piezoelectric/elastic phononic crystal (PC) nanobeam with surface effects is proposed, and the corresponding calculation method of the band structures is formulized and displayed by introducing the Euler beam theory and the surface piezoelectricity theory to the plane wave expansion (PWE) method. In order to reveal the unique wave propagation characteristics of such a model, band structures of locally resonant (LR) elastic PC Euler nanobeams with and without resonators, band structures of LR piezoelectric PC Euler nanobeams with and without resonators, as well as band structures of LR elastic/piezoelectric PC Euler nanobeams with resonators attached on PZT-4, with resonators attached on epoxy, and without resonators are compared. Results demonstrate that adding resonators indeed plays an active role in opening and widening band gaps. Moreover, the influence rules of different parameters on band gaps of LR elastic/piezoelectric PC Euler nanobeams with resonators attached on epoxy are discussed, which will play an active role in the further realization of active control of wave propagations.
Key wordslocally resonant (LR) piezoelectric/elastic phononic crystal (PC) nanobeam surface effect plane wave expansion (PWE) method spring-mass resonator
Chinese Library ClassificationO175.9 O34 O735
2010 Mathematics Subject Classification15A18 74J10 78M16
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- WANG, Y. Z., LI, F. M., HUANG, W. H., and WANG, Y. S. Effects of inclusion shapes on the band gaps in two-dimensional piezoelectric phononic crystals. Journal of Physics: Condensed Matter, 19(49), 496204 (2007)Google Scholar
- JIANG, S., DAI, L. X., CHEN, H., HU, H. P., JIANG, W., and CHEN, X. D. Folding beam-type piezoelectric phononic crystal with low-frequency and broad band gap. Applied Mathematics and Mechanics (English Edition), 38(3), 411–422 (2017) https://doi.org/10.1007/s10483-017-2171-7 MathSciNetCrossRefGoogle Scholar