A single and double slotting radial acoustic metamaterial plate

Abstract

This paper presents the low-frequency acoustic properties of a new single and double slotting radial acoustic metamaterial plate which is arranged in the axial coordinate. The band structures, transmission spectra, and eigenmode displacement fields of this kind of acoustic metamaterial are different from previous studies. Numerical calculation results show that the first-order band gap (BG) of the radial flexible elastic metamaterial plate is below 200 Hz. A multiple-vibration coupling mechanism is proposed to explain the low-frequency band gaps. By changing the geometric parameters a, t, and g, the location and width of the low-frequency band gaps can be varied neatly. In summary, rational design of geometries and materials is the crucial pathway to open and lower BGs, and could restrain low-frequency vibration similarly. This can be used to protect infrasound, generate filters, and design acoustic devices.