Low-frequency sound insulation optimisation design of membrane-type acoustic metamaterials based on Kriging surrogate model

Abstract

Low frequency is a difficult problem in noise control. How to design new lightweight materials or structures to achieve low-frequency noise reduction is of utmost importance. This study presents a multi-parameter optimisation design procedure for a specific sound insulation frequency and bandwidth of a lightweight acoustic metamaterial. First, a sound insulation model of membrane-type acoustic metamaterials (MAMs) was established based on the finite element method, and the predicted results are validated with results from previous studies. Subsequently, the bandgap characteristics and generation mechanism of the sound insulation peak are analysed. Second, the influences of both material and structural parameters of the membrane and mass block, on the sound insulation characteristics of the MAMs are systematically investigated. They are discussed by first using a single variable control method and then considering the multi-parameter coupling effect. Finally, a Kriging surrogate model for sound insulation prediction of MAMs is established. Aiming at a specific sound insulation frequency and bandwidth, the multi-parameter optimisation design of the MAMs is performed. According to the results, during multi-parameter coupling, the influence law of a single variable on the sound insulation peak of MAMs is unchanged; however, the influence magnitude differs. The Kriging surrogate model can effectively design acoustic metamaterials with a specific sound insulation frequency and bandwidth.

Keywords

• Sound insulation
• Optimisation design
• Membrane
• Acoustic metamaterials
• Kriging surrogate model