Abstract
The present work is aimed at deriving a finite element model for active constraining layer damping treatment (ACLD) of layered skew plates by incorporating zig-zag behaviour using a Murakami zig-zag function (MZZF). The ACLD in skew patch form comprises of 1–3 PZC material and viscoelastic material in the layer form placed on substrate skew plate. The overall skew substrate ACLD system deformation kinematics are derived using MZZF and the equations of motion for the same are derived by virtual work method. A MATLAB subroutine for the overall skew plate ACLD system has been developed to present the closed loop frequency responses by successful implementation of closed-loop feedback system. The substrate skew plates with different lamination schemes namely symmetric/antisymmetric cross-ply and antisymmetric angle-ply are considered to assess the damping behavior of the skew plates undergoing ACLD. Also, the piezo-fiber angle (obliquely reinforced) variation of the PZC layer on the damping responses of the skew plates have been thoroughly examined.
Highlights
It is apparent that layered laminates with skew edges are imperative to many of the applications and have substantial importance in aerospace systems, frames, ship hulls, and aircraft wings
To proceed with the analysis, the first step is to validate the developed finite element (FE) model with incorporated Murakami zig-zag function (MZZF), the same is used for evaluating the transverse displacements and fundamental frequency parameters of similar plates available in the literature
The controlled frequency response functions (FRFs) of SS1 skew plates composed of symmetric cross-ply (00/900/00) substrate laminates for different skew angles are displayed in Figs. 4, 5 and 6, while the equivalent required voltages are illustrated in Figs. 7, 8 and 9
Summary
It is apparent that layered laminates with skew edges are imperative to many of the applications and have substantial importance in aerospace systems, frames, ship hulls, and aircraft wings. Brischetto et al [11] employed the incorporated MZZF higher order theory for studying the bending responses of panels of sandwich construction These structures possess very low damping which may result in vibration related failures of the same. These materials are reinforced in polymer acting as matrix lead to the development of piezoelectric composite (PZC) Initial research in this area is carried of effective properties estimation of these PZCs. Smith and Auld [15] have done the pioneering work associated with the modeling of 1–3 PZC material for studying the bending oscillations of structures. Several authors examined the behavior of 1–3 PZC as a material of the ACLD constraining layer for damping the responses of composite/ sandwich plates and shells.
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