Active tuning of the vibration band gap characteristics of periodic laminated composite metamaterial beams

Abstract

A novel strategy is proposed to investigate the vibration band-gap and active tuning characteristics of the laminated composite metamaterial beams. The piezoelectric actuator/sensor pairs are periodically placed along the laminated composite beam axis so that the vibration frequency band-gap and active tuning characteristics can be induced. The dynamic equations of the laminated composite metamaterial beams bonded by the piezoelectric actuator/sensor pairs are established based on the Euler–Bernoulli beam theory. The negative proportional feedback control strategy is employed to provide the positive active control stiffness for the piezoelectric actuator/sensor patches. The spectral element method is used to calculate the dynamic responses of the laminated composite metamaterial beams with the periodically placed piezoelectric patches, and the calculation accuracy for the dynamic responses is validated by the finite element method. The results demonstrating the high-performance vibration band-gap properties in the low-frequency ranges can be achieved by properly designing the sizes and the number of the piezoelectric patches. Moreover, the vibration band-gap characteristics, especially the band-gap width and the normalized band-gap width with respect to the considered excitation frequency range, can be significantly changed by tuning the structural parameters of the piezoelectric actuators and sensors. In addition, the cross-ply angle of the laminated composite metamaterial beams has significant influences on the band-gap characteristics and the vibration reduction performance of the laminated composite beam structures.

Advances in active tuning of elastic wave band gaps in metamaterial structures

“…并且, 所有的分流电路都相同, 保证 了智能结构的周期性. 每个压电片连接一个被动的谐振分流电路, 与之前的模型 [56] 图 1 周期布置压电作动器/传感器的超材料层合梁(此图修改自文献 [57] )…”

“…Ref. [57] ) Wang等人将增强的谐振分流电路连接的压电片周期性阵列连接到等直均匀梁上来控制振动的传播 , 研 究了具有不同类型的谐振分流电路互相组合的情况, 以便获得更宽的振动带隙 [55] . Chen等人 [58] 提出了一种将 压电片分流到电阻电感电路中的超材料板, 该结构不仅有Bragg散射带隙, 而且有一个局域共振带隙.…”

Complex Band Structure of 2D Piezoelectric Local Resonant Phononic Crystal with Finite Out-Of Plane Extension

“…Applying piezoelectric materials to phononic crystals allows the bandgaps to be adjusted without changing the intrinsic structure of the crystals [25][26][27]. A novel strategy was proposed by Ren et al [28] to investigate the vibration bandgap and active tuning characteristics of laminated composite metamaterial beams. Liu et al [29] studied the damping of resonators and derived the vibration transmissibility method (TM) for a finite electromechanical system based on the Timoshenko beam theory.…”

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

“…Using the plane wave expansion and transfer matrix method, Yuan et al (2022) can actively regulate the band structures of flexural waves in periodic composite beam by tuning the external capacitor shunting circuit, the results of which show that the regulation capability of the shunted negative capacitance is stronger than that of the positive capacitance. In addition to adjusting the connected circuits to the piezoelectric layer, there are increasing studies that introduced the feedback control strategy into the PCs and MMs where periodic arrays of actuator and sensor pairs were taken into consideration to realize the active control of elastic waves (Li et al, 2017;Ren et al, 2020aRen et al, , 2020b.…”