Last modified: 2023-07-10
Abstract
Metamaterials composed of point scatterers have been studied intensively in recent years. These structures can be used for virtually arbitrary control of energy flow through the substrate structure, forming metaclusters and metasurfaces. It has been shown recently that clusters of point attachments on beams and plates can be employed for obtaining a wide range of transmission and reflection coefficients that depend on structural properties of the scatterers. Also, it was shown that the associated absorption properties can be extreme both in terms of efficient dissipation and asymmetry of interaction. In this work we present the application of localized clusters of scatterers for controlling vibrations of structures. For this purpose we employ pre-designed clusters of reflectors, with specific reflection and transmission properties, and attach them to structural members of a frame structure. Their positioning and properties are selected so as to redirect energy flow and therefore affect vibrational properties of these structures. It is demonstrated that this strategy can be used for mitigating vibrations by either suppressing selected modes or removing them completely.