Optimization of vibration band-gap characteristics of a periodic elastic metamaterial plate

A periodic elastic metamaterial plate is designed by the locally resonant band-gap mechanism. Based on the Floquet-Bloch wave theory, the band-gap structures of the elastic metamaterial plate are calculated using the finite element method, and validated by the spectral element method and the vibration experiment. The band-gap characteristics are optimized by an effective asymptotic optimization method to determine the target band-gap ratio. This optimization method can be targeted at specific frequency band to realize the superior vibration reduction capacity by optimizing the structural parameters. This article provides a useful reference for optimizing the vibration band-gap characteristics of elastic metamaterial plates.

Automated summary

This article presents a design method for a periodic elastic metamaterial plate based on the locally resonant band-gap mechanism. The band-gap characteristics of the plate are calculated using the finite element method and validated through spectral element analysis and vibration experiments. An effective asymptotic optimization method is used to optimize the band-gap characteristics, aiming at specific frequency bands to achieve superior vibration reduction capacity.