Controllable flexural wave in laminated metabeam with embedded multiple resonators

Abstract

Acoustic metamaterials and bandgap engineering have been research areas that have drawn intensive and extensive research attention in recent years. The exploration of low-frequency bandgaps as well as the corresponding bandgap modulation has been a subject of much concern by numerous research scholars and engineers. In this paper, a new laminated beam metastructure which uses piezoelectric springs to connect local resonators to the laminated beam is proposed. Considering the intrinsic relationship of materials and loads due to resonator system, the Euler-Bernoulli beam theory is employed to derive the governing equation of the system, and the band structure is solved by the spectral element method. Subsequently, we solve and analyze the effects of external excitation sources including electric and magnetic fields on the bandgap, and also investigate the influence resonator number and mass. Finally, the modulation effect of piezoelectric spring stiffness on the bandgap is analyzed. The result of this paper provides a sound theoretical guide for the application and control of multi-frequency domain bandgaps. It also serves new ideas for vibration isolation and suppression of metabeam structures in real-life engineering applications.