Abstract
In this study, an interconnected metamaterial was proposed to suppress flexural vibration. The interconnected metamaterial can improve the manufacturing and installation processes in terms of convenience because it can be fabricated in the form of a modular multi-celled structure with a single-phase material. To evaluate the vibration reduction performance of the metamaterial, stopband analysis was performed, as it solves an iterative eigenvalue problem for the wave vector domain. In order to identify the Bloch mode that contributes to flexural vibration, a concept to extract the Bloch mode based on the modal strain energy was proposed. The vibration-reduction performance of the interconnected metamaterial was numerically verified by using a frequency-response analysis of the multi-celled structure. The interconnected metamaterial proposed in this study was fabricated by using a 3D printer. Finally, the vibration-reduction performance of the multi-celled structure was experimentally verified by using impact testing.
Highlights
Control Based on Modal StrainMetamaterials are structures engineered to have wave-propagation characteristics that do not exist in nature [1,2,3,4]
We proposed the systematic method to evaluate the stopband of an interconnected metamaterial based on modal strain energy
In contrast with conventional acoustic metamaterials, which are individually factured and attached to the host structure, a multi-celled structure was fabricated with manufacturedmaterial and attached to the host structure, a multi-celled was fabricated for a single-phase and applied to the vibrating structure.structure
Summary
Metamaterials are structures engineered to have wave-propagation characteristics that do not exist in nature [1,2,3,4]. In 2020, Brethm et al developed an automation selection algorithm that selects the appropriate vibration mode, using the modal strain energy and modal assurance criteria [17] As shown in these two kinds of works in the literature, it is possible to classify the Bloch modes concerning the dynamic property of the mode shape. We proposed the systematic method to evaluate the stopband of an interconnected metamaterial based on modal strain energy. The unit structure is divided into resonator and host structure, and modal strain energy for each part is calculated to separate the Bloch mode that contributes to the flexural wave was extracted from among the Bloch modes.
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