A Numerical and Experimental Study on an Interconnected Metamaterial for Flexural Vibration Control Based on Modal Strain Energy

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.

Co-Design of Mechanical and Vibration Properties of a Star Polygon-Coupled Honeycomb Metamaterial

“…He et al [33] combined bandgaps and the frequency domain to analyze the vibration suppression performance of a local resonant metamaterial, providing a theoretical foundation for related research. An interconnected metamaterial was proposed by Jin et al [34]; it simplified the fabrication and installation processes, and the vibration isolation capacity of the material was validated by extracting the Bloch mode according to the modal strain energy. Bai et al [35] designed an aseismatic metamaterial and investigated its bandgap characteristics via the transfer matrix method; the results show that the acceleration amplitude decreases during wave propagation, which demonstrates the material's vibration suppression performance.…”