Dynamic Stability Analysis of Laminated Composite Plates With Piezoelectric Layers

Abstract

Abstract. Research on the stability to determine the critical value of structures is a complex issue but of real significance. Piezoelectric composite plate is one of the structures which have the ability to control the mechanical behaviors under loads. One of the prominent capabilities of this structure is the ability to control its vibration and stability. Using the finite element method (FEM) and construction calculation program in Matlab, the authors analyzed the elastic stability of piezoelectric composite plates under dynamic in-plane loads, taking into account damping properties of the structure. Critical loads and other factors affecting the stability of the plate are investigated.

Static and Dynamic Analysis of Piezoelectric Laminated Composite Beams and Plates

“…and Q fg s ¼ K ϕb ÂÃ s q fg s is the induced charge due to strain. The operation of the amplified control loop implies, the actuating voltage is determined by the following relationship [1,10,14]:…”

“…The equation system describing the stress-strain relations and mechanicalelectrical quantities is respectively written as [8,14]:…”

“…(49), (53), and (54). In the developed models, there is one electric potential degree of freedom for each piezoelectric layer to represent the piezoelectric behavior and thus the vector of electrical degrees of freedom is [6,14]: ϕ e fg ¼ ::ϕ e j ::…”