Cylindrical Bending of Laminated Plates with Distributed and Segmented Piezoelectric Actuators/Sensors

Abstract

The generalized plane quasistatic deformations of linear piezoelectric laminated plates are analyzed by the Eshelby-Stroh formalism. The laminate consists of homogeneous elastic or piezoelectric laminae of arbitrary thickness and width. The three-dimensional differential equations of equilibrium for a piezoelectric body are exactly satis ed at every point in the body. The analytical solution is in terms of an in nite series; the continuity conditions at the interfaces between adjoining laminae and boundary conditions at the edges are satis ed in the sense of Fourier series. The formulation admits different boundary conditions at the edges and is applicable to thick and thin laminated plates. Results are presented for laminated elastic plates with a distributed piezoelectric actuator on the upper surface and a sensor on the lower surface and subjected to different sets of boundary conditions at the edges. Results are also provided for a piezoelectric bimorph and an elastic plate with segmented piezoelectric actuators bonded to its upper and lower surfaces.

Effects of geometric size and mechanical boundary conditions on magnetoelectric coupling in multiferroic composites

“…To study the size and mechanical BC effect on the ME coupling, the common bilayer multiferroic composite is selected (figure 1(a)): the top layer is PE PZT-5A while the bottom layer is PM material CoFe 2 O 4 , with their material properties listed in table 1 [6,13,25,26]. The dimensions of this composite are defined by four geometric lengths: the two lateral dimensions in the x-and y-directions, L x and L y , and the thickness of the PE and PM layers, t e and t m .…”

Exact Solution for Rectangular Sandwich Plates with Embedded Piezoelectric Shear Actuators

“…However, in practice, small patches of a piezoelectric material are either af xed to the surfaces of a structure or embedded in it. Analytical solutions for the cylindrical bending of laminates with segmented sensors and/or actuators have been obtained by Vel and Batra 16 by using the Eshelby-Stroh formalism. The equilibrium equations are exactly satis ed at every point in the body, and the boundary conditions and the continuity conditions at the interfaces are satis ed in the sense of Fourier series.…”

A single-walled carbon nanotube reinforced 1–3 piezoelectric composite for active control of smart structures

“…Piezoelectric materials (PZTs) have been used for distributed sensors and actuators in smart structures by exploiting their inherent properties of direct and converse piezoelectric effects. For reliable and efficient control of smart structures, it has been established that when PZTs are used as the constraining layer in an active constrained layer damping (ACLD) treatment, vibrations of smart structures are attenuated much better than when they are directly bonded to the same structures [31][32][33][34][35][36][37][38][39][40][41][42][43][44][45]. Hence, the performance of two 1-3 piezoelectric composites can be compared by investigating the ACLD of smart structures with constraining layers comprised of these composites and keeping everything else unchanged.…”