Locally resonant phononic crystals,due to their unique band gap characteristics,have a wide application prospect in vibration and noise reduction in low-frequency ranges.In this paper,a two-dimensional three-component com-posite column phononic crystal is proposed.This crystal consists of a scatter,a double cladding layer and a hexagonal pris-matic substrate plate with locally resonant unit additive mass ratio of 65.13.The band gap structures,transmission loss spec-trum and displacement vector fields of the phononic crystal plate are calculated using the finite element method.The results show that the relative bandwidth of the crystal plate is up to 162.1%in the frequency range of 0-3 000 Hz.The designed hexagonal prismatic matrix plate phononic crystal has a lower first complete bandgap frequency and a wider second bandgap frequency range than the square column matrix plate phononic crystal.By optimizing the geometrical structure,changing ma-terial parameters and introducing piezoelectric effects,the band gap width of this composite column phononic crystal can be tuned from 1 382.00 to 2 978.55 Hz flexibly.The results of this study may provide a theoretical reference for the prevention and control of low-frequency vibration and noise.
关键词
声学/声子晶体/有限元法/局域共振/低频超宽带隙/带隙可调性
Key words
acoustics/phononic crystal/finite element method/locally resonant/low-frequency ultra-wide bandgap/bandgap tunability