Abstract
A new two-dimensional locally resonant phononic crystal with microcavity structure is proposed. The acoustic wave band gap characteristics of this new structure are studied using finite element method. At the same time, the corresponding displacement eigenmodes of the band edges of the lowest band gap and the transmission spectrum are calculated. The results proved that phononic crystals with microcavity structure exhibited complete band gaps in low-frequency range. The eigenfrequency of the lower edge of the first gap is lower than no microcavity structure. However, for no microcavity structure type of quadrilateral phononic crystal plate, the second band gap disappeared and the frequency range of the first band gap is relatively narrow. The main reason for appearing low-frequency band gaps is that the proposed phononic crystal introduced the local resonant microcavity structure. This study provides a good support for engineering application such as low-frequency vibration attenuation and noise control.
Highlights
A growing interest has been focused on the study of the propagation of elastic waves in the periodic phononic crystals (PCs) [1,2,3,4]
Lai et al have studied the PC structure composed of the square lattice of steel cylinders in air background and found that the band gaps (BGs) could be tunable with various microstructures [7]
Wang et al have introduced the narrow slit structures into the inclusions of the two-dimensional PC structure composed of steel tubes in air and obtained large BGs in audible frequency range
Summary
A growing interest has been focused on the study of the propagation of elastic waves in the periodic phononic crystals (PCs) [1,2,3,4]. PCs composed of two or more materials with different mechanical properties will generate band gaps (BGs) within which the propagation of elastic or acoustic waves is prohibited. In order to promote the application of phononic crystals in the fields of vibration control and noise isolation, obtaining tunable BGs with large bandwidth in the low-frequency domain is significant. Trabelsi et al investigated the band properties of a phononic crystal composed of alternating fluid and fluid-saturated porous layers [10] They observed lowfrequency band gaps of underwater structure.
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