Abstract
A multi-cavity periodic structure with the characteristic of local resonance was proposed in the paper. The low frequency band-gap structure was comparatively analyzed by the finite element method (FEM) and electric circuit analogy (ECA). Low frequency band-gap can be opened through the dual influence of the coupling’s resonance in the cavity and the interaction among the couplings between structures. Finally, the influence of the structural factors on the band-gap was analyzed. The results show that the structure, which is divided into three parts equally, has a broader effective band-gap below the frequency of 200 Hz. It is also proved that reducing the interval between unit structures can increase the intensity of the couplings among the structures. And in this way, the width of band-gap would be expanded significantly. Through the parameters adjustment, the structure enjoys a satisfied sound insulation effect below the frequency of 500Hz. In the area of low frequency noise reduction, the structure has a lot of potential applications.
Highlights
Artificial periodic structure, which is represented by the phononic crystals and acoustic metamaterials, has come to the forefront of scholars’ attention
They found that the local resonance phononic crystal can generate extremely low frequency band-gap with small lattice
The results suggest that the band-gap with the frequencies below 100 Hz exists in this structure, which is verified by the calculated transmission spectra
Summary
Artificial periodic structure, which is represented by the phononic crystals and acoustic metamaterials, has come to the forefront of scholars’ attention. Bragg condition show that the corresponding of elastic wave band-gap of Bragg scattering is equal to that of the periodic structure size parameter (the lattice size or the lattice constant).[5,6] The center frequency of first band-gap is located near c 2a(c is sound velocity and a is lattice size). The local resonance mechanism was first proposed by Liu et al.[7] They found that the local resonance phononic crystal can generate extremely low frequency band-gap with small lattice (the lattice size is much smaller than the wave length of elastic wave locating in the band-gap). Murray et al.,[21] which presents a desirable sound insulation effect at middle and high frequency bands It can be noted from the published literatures that little attention has been paid to the low frequency characteristics for the artificial periodic structure design.
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