Band Gaps and Transmission Characteristics Analysis on a Two-Dimensional Multiple-Scatter Phononic Crystal Structure

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.

Band Gaps Characteristics Analysis of Periodic Oscillator Coupled Damping Beam

“…However, the experimental method needs to spend a lot of manpower, material resources, and time to make it, and it is difficult to guarantee the accuracy of the experiment results. Fortunately, the finite element method is an effective and efficient calculation method of band gaps and vibration attenuation properties, the numerical calculation of finite array periodic structures by finite element method has been widely used to demonstrate the effectiveness of the band gaps calculation methods of periodic structures in the scholars’ research [ 47 , 48 , 49 , 50 ]. Thus, to validate the existence of the flexural wave vibration band gaps of the infinite long periodic oscillator coupled damping beam and study the vibration attenuation performance in the frequency ranges of band gaps, we investigated the band gaps and vibration attenuation characteristics by using the finite element method.…”

Band Gaps and Vibration Attenuation Characteristics Analysis in Homogeneous Beam Coupled With Periodic Oscillators Based on the Method of Reverberation-Ray Matrix

“…To verify the effectiveness of the flexural wave band gaps characteristics calculation method obtained in this paper and demonstrate the existences of the flexural wave band gaps and vibration attenuation characteristics in the proposed periodic beam-oscillators coupling system, a structural dynamic characteristic analysis of a finite long homogeneous beam coupled with periodic oscillators with 12 unit cells based on finite element method is conducted in this section. The flexural wave band gaps and vibration attenuation characteristics of various periodic structures had been analyzed by the numerical calculation of the finite array periodic structures, the numerical calculation method is an effective and efficient calculation method of band gaps and vibration attenuation characteristics and has been widely used to demonstrate the effectiveness of the band gaps calculation methods (Waki et al, 2009;Zhou et al, 2015;Nobrega et al, 2016;Xiang et al, 2020). As shown in Figure 3A, the finite array finite element model with 12 unit cells of the proposed periodic beam-oscillators coupling system is established in Abaqus CAE at the beginning of the numerical calculation, the finite element model is constituted of a homogeneous beam with a rectangular section and coupled with 12 periodic oscillators in parallel connection, which the separation distance is 1.0 m and each unit cell contains 400 beam elements, the vibration direction of the periodic oscillators is vertical direction and the length direction of the homogeneous beam is along X-axis with 12.0 m dimensions.…”

An Investigation of the Energy Harvesting Capabilities of a Novel Three-Dimensional Super-Cell Phononic Crystal with a Local Resonance Structure

“…Also, the existence of flat bands implies that the wave propagation pattern is identical in most wave vector directions, under the excitation of the corresponding frequency. These two conditions provide a new approach to low-frequency energy harvesting using LRPnCs [ 25 , 26 ]. Through these previous studies of locally resonant energy self-sufficient PnCs, a 3D super-cell PnC with local resonance spiral structure is investigated by COMSOL, using FEM to build a physical field control grid; thus, parameterized scanning in specified combinations is performed subsequently.…”