Contribution
Modeling cut-out resonators as mass-spring oscillators for plate-type metamaterials
* Presenting author
Abstract:
Plate-type metamaterials, typically thin, flat structures embedded or patterned with subwavelength resonant elements, demonstrate remarkable acoustic properties. These resonant elements often consist of mass-spring oscillators (MSOs), where a suspended mass oscillates due to a spring’s natural resistance to displacement. Alternatively, the vibrational behavior of a plate can also be modified by creating cut-outs in the material, which then act as local resonators. This study focuses on modeling these cut-out resonators as MSOs for comprehensive vibro-acoustic analysis. To achieve this, theoretical derivations were conducted to accommodate cut-out shapes of arbitrary geometry, offering flexibility in design for various acoustic applications. Additionally, finite element models were developed to simulate the cut-outs. Key parameters, such as the size and shape of the cut-outs, were systematically varied to investigate their impact on the resonant frequencies of the mass-spring oscillator.