Deflection and Vibration Control of Laminated Plates Using Extension and Shear Actuated Fiber Composites

Abstract

The use of surface bonded and embedded piezoelectric composite actuators is examined through a numerical study. Modelling schemes are therefore developed by applying the isoparametric finite element approach to idealise extension-bending and shear-bending couplings due to piezoelectric actuations. A modal control based linear quadratic regulator is employed to perform the active vibration control studies. Influence of shear actuation direction and its width has been examined and interesting deflection patterns are noticed. The through width SAFC develops a constant deflection beyond its length along the laminated plate length. In contrast, segmented SAFC produces a moderate to linearly varying deflection pattern. MFC actuators have shown promising features in vibration control performances. Nevertheless, closed loop damping presents the efficiency of SAFC in the vibration control application. It is therefore envisaged that optimally actuated smart laminates can be designed using MFC and SAFC to efficiently counteract the disturbance forces.

Shear-based vibration control of annular sandwich plates using different piezoelectric fiber composites: A comparative study

“…It is basically a 2–2 PFC lamina constructed in the Cartesian material coordinate system ( xyz) as shown in Figure 1(a), where the piezoelectric phase is poled ( P) along the x-direction and the externally applied external electric field ( Ez) acts in the transverse ( z) direction so that the 2–2 PFC lamina produces electrically induced shear actuation force in the xz-plane. The effectiveness of this shear actuation force in active control of rectangular plates has also been reported in the literature [20].…”

Finite Element Analysis and Vibration Control of a Deep Composite Cylindrical Shell Using MFC Actuators

“…In (2), ϕ a1 models d 33 actuation and ϕ a2 accounts for d 31 actuation. The material coordinate transformation is done for MFC actuation to accommodate the in-plane electric field in transverse direction [7]. Further the distance between two finger electrodes is considered to define the electric field to potential relation.…”

“…Using the kinematics (4a) and (4b) the constitutive material properties [7], the coupled energy equation 5may be numerically approximated and derived in terms of nodal displacements and nodal voltages as follows:…”

“…Among these, the electromechanically coupled piezoelectric materials possess immense potentials because of its dynamic characteristics (wider frequency band, large force) and their availability in different forms (bar, patch, composite, stack, etc.). Piezoelectric patches and composites such as Macrofibre Composite (MFC), Active Fibre Composite (AFC) are increasingly considered as actuators by research communities to address various vibration control-related problems in recent years [1][2][3][4][5][6][7].…”

A modeling and uncertainty quantification framework for a flexible structure with macrofiber composite actuators operating in hysteretic regimes

“…To illustrate, consider the MFC design depicted in Figure 1. As detailed in studies of High and Wilkie (2003), Raja et al (2011), SmartMaterials (2012, Sodano (2003), and Williams et al (2002b), the primary components of an MFC are piezoceramic fibers, interdigitated electrodes, and a polymer matrix. The inner layers are composed of rectangular PZT fibers encased in a structural epoxy matrix that provides resilience and inhibits crack propagation.…”