Actively tuning of transverse wave band gaps in hybrid sandwich beam metamaterials with shunted piezoelectric array and inertial amplification mechanism

Abstract

In this paper, a tunable sandwich beam metamaterial is designed by implementing a hybrid project composed of the piezoelectric shunted array technique and the inertial amplification mechanism. Concerned with the shunted piezoelectric constitutive relation, the kinematic analysis of added mechanism and the transverse motion of base structure, a theoretical model is established to estimate the band gap characteristics of the sandwich beam lined with pyramidal truss cores using the transfer matrix method, whose accuracy is further validated by the finite element simulations. Numerical results show that multiple stop bands are generated at low frequencies owing to the mechanisms of electromechanical resonance, amplifying inertia and mechanical resonance, certainly enhancing the level of vibration suppression. Subsequently, a comprehensive parametric analysis is conducted to investigate the influences of the shunting circuits and attached mechanism on the attenuation diagrams. It is demonstrated that the hybrid sandwich lattice can offer more tunable space to acquire ultra-broad band gaps. Furthermore, based on the design potential, the amplitudes and bandwidths of the attenuation region are maximized by operating an optimization study. Such advanced attenuation performance can be applied for a wide range of engineering applications.

Advances in Tunable Bandgaps of Piezoelectric Phononic Crystals

“…Previous research has mainly focused on the bandgap characteristics of hybrid structures with elastic beams or plates as the main body. Li et al [ 65 ] conducted a study on the periodic truss sandwich beam metamaterials by employing a hybrid approach involving piezoelectric parallel array technology and the inertial amplification mechanism, as depicted in Figure 13 c. The authors also presented attenuation diagrams of transverse waves within these hybrid beam metamaterials. These diagrams have proved useful in distinguishing the pass bands and stop bands by identifying the presence of zero and non-zero attenuation constants.…”

“…In conclusion, the number and spatial dimensions of piezoelectric plates in the unit of patch-type piezoelectric PCs can be structurally designed. Compared with the other two types of piezoelectric PCs, this type has a more diversified, complex, and mature [61,62,65]. Reprinted with permission from Ref.…”

“…Figure 13. Hybrid metamaterials: (a) adaptive hybrid metamaterial, (b) a finite hybrid piezoelectric phononic crystal beam and FRF, and (c) the hybrid composite beam metamaterial and the attenuation diagrams[61,62,65]. Reprinted with permission from Ref [61]…”