Abstract

To realize the frequency tuning of phononic crystals (PCs) and the functional design of tunable PCs, acoustic components with more flexible working frequencies are manufactured to meet the various requirements of engineering applications. We proposed a combined tuning method that combines the change of the Young’s modulus of the shape memory alloy and the rotation of the scatterer. The tunable band structure and transmission spectra of the method were calculated using the finite element method. We analyzed the effect of fill rate and viscosity of matrix on the band structure and studied the regulation law of the dual regulation mode. The numerical results show that the double tuning method makes up for the shortcomings of the single tuning method and has the characteristics of widely tuning range, continuous adjustment, and more tuning modes. In addition, a PC waveguide is constructed by using this combined tuning method, which realizes the flexible construction of waveguide channels and the continuous tuning of wide frequency range. It is an important guideline for the research of tunable waveguides, the design of acoustic components, and the application of practical engineering.

Highlights

  • When elastic/acoustic waves propagate through phononic crystals (PCs), they are affected by the internal periodic structures of the PCs and can form bandgaps that are able to control the propagation of the elastic wave/acoustic waves

  • Waveguide research is generally used to introduce defects in perfect PCs, so that the elastic/acoustic wave can be limited to the defect, or along the defect path of propagation

  • It should be emphasized that the geometric size of the PCs can be arbitrarily amplified and reduced without considering the correlation loss

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Summary

INTRODUCTION

There has been growing interest in the propagation of elastic/acoustic waves in phononic crystals (PCs) and acoustic metamaterials. When elastic/acoustic waves propagate through PCs, they are affected by the internal periodic structures of the PCs and can form bandgaps that are able to control the propagation of the elastic wave/acoustic waves. When elastic/acoustic waves propagate through PCs, they are affected by the internal periodic structures of the PCs and can form bandgaps that are able to control the propagation of the elastic wave/acoustic waves. The application of this unique property in negative refraction, filters, and waveguides has attracted wide attention. We combined the SMA Young’s modulus change with the rotating scatterer to establish a dual control method. The effect of the change of the SMA Young’s modulus on the tuning range of the PC bandgap under different fill factors was studied. Through the supercell method and the finite element method, the transmission characteristics and frequency adjustment of the waveguide were studied

MODEL AND CALCULATION METHOD
RESULTS AND DISCUSSION
Effect of viscosity on band structure
CONCLUSIONS
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