Abstract
In this paper, a novel wrap-around multi-scattering phononic crystal (PC) structure is proposed. Band gaps (BGs) and transmission characteristics of the present structure are calculated using finite element method (FEM). Through the calculations of single-scattering prototype, three complete BGs which are exhibited at low frequency and the fourth wide BG at high frequency are discovered. The transmission features and resonant spectra represented by frequency response function (FRF) shows that apparent resonance directly cause the four specific BGs. By keeping the total area of scatterers unchanged, 2 × 2, 3 × 3 and 4 × 4 scatterers are designed to obtain the change rule of BGs. Furthermore, the size ratio of 2 × 2 scatterers, the number of connection beams are investigated to obtain the regular pattern of acoustic energy transmission and attenuation. The present investigation of multiple-scatter PC structure will provide a solid support on the future design of acoustical functional materials.
Highlights
To the demand of noise and vibration reduction in daily life and industrial world, the concept of phononic crystal (PC) has been proposed and explored [1,2]
Based on the generation mechanism of band gaps (BGs), PC structures can be divided into Bragg scattering-type and locally resonant-type, both of which are the result of periodicity in composite material structures and of Mie scattering in oscillators [12]
Several design rules of this type of multiple-scatter PC structure are drawn, which might provide a solid support on the design of such type of acoustical functional materials
Summary
To the demand of noise and vibration reduction in daily life and industrial world, the concept of phononic crystal (PC) has been proposed and explored [1,2]. Liu et al developed a wavelet-based FEM to calculate BGs and the corresponding transmission characteristics of 2D PC structures [24]. He presented an array of periodic coating on a thin plate, which were investigated by FEM simulations and experiments [25]. Based on the above analysis, BGs and transmission characteristics of a 2D wrap-around multi-oscillator/scatterer PC structure is proposed and further analyzed using FEM method, especially for the regular pattern of arrangement of the proposed PC structures, such as the 2 × 2, 3 × 3 and 4 × 4 scatterers, the number of connection beams, the size ratio of 2 × 2 scatterers. Several design rules of this type of multiple-scatter PC structure are drawn, which might provide a solid support on the design of such type of acoustical functional materials
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