Vibroacoustic characteristics of a metamaterial plate cavity coupling system

Abstract

Metamaterials have garnered significant attention due to their remarkable ability to control low-frequency vibration and noise, particularly in applications involving underwater vehicles. This article specifically examines the vibration and acoustic properties of a metamaterial plate cavity coupling system (MPCCS). The mathematical model for the MPCCS is established using principles of energy functional and polynomial expansion. The study explores the bandgap characteristics, coupling modes, and mechanisms of vibration and sound reduction within the system. The key findings reveal that the MPCCS can generate two distinct low-frequency bandgaps, with the starting frequency remaining consistent across various cavity mediums, while the bandwidth varies. Within these band gaps, both vibration and cavity pressure experience significant reduction. To validate these findings, an underwater experiment on sound and vibration control using the metamaterial plate is conducted in an anechoic tank. Results demonstrate the effectiveness of the metamaterial plate in controlling vibration and acoustics compared to a bare plate, highlighting the dual bandgap characteristics of the lateral local resonance metamaterial plate. Furthermore, the experimental outcomes strongly confirm the metamaterial plate’s capability to achieve vibroacoustic control within specific frequency ranges, namely the bandgaps. These findings provide valuable insights and practical guidance for engineering applications, particularly in the design and optimization of metamaterial-based systems for controlling vibration and noise, especially in underwater environments.