Assessment of FGPM shunt damping for vibration reduction of laminated composite beams

Abstract

This work addresses theoretical and finite element investigations of functionally graded piezoelectric materials (FGPMs) for shunted passive vibration damping of laminated composite beams. The properties of piezoelectric patches are assumed to vary through the thickness direction following the exponent or power law distribution in terms of the volume fractions of the constituent materials. By employing Hamilton's principle, the governing differential equations of motion are derived. The resulting system of equations of vibration is solved by employing an efficient three-nodded beam element which is based on a refined sinus piezoelectric model. The effects of effective electromechanical coupling coefficients (EEMCCs), different electric shunt circuits and different material compositions on the shunted damping performance are investigated. The optimal values of the electric components belonging to each shunt circuit are numerically determined.

A sinus shear deformation model for static analysis of composite steel-concrete beams and twin-girder decks including shear lag and interfacial slip effects

“…It is worth to note that the original Sinus model kinematics was first t ime i ntroduced b y P olit and Touratier [16] for the analysis of laminated composite plates. The Sinus shear deformation theory was enriched in Vidal and Polit [17] by introducing a layer refinement in the kinematics, and then extended to thermal (Vidal and Polit [18]) and piezoelectric (Lezgy-Nazargah et al [19][20][21]) effects. In the present study, these last works are extended to static analysis of composite steel-concrete beams and twin-girder decks.…”

Free vibration of the piezoelectric laminated composite beams under the elastic foundation

“…The problem of harvesting energy from transverse base vibration by a laminated piezoelectric beam has been discussed by the extended Hamilton principle [17]. In Lezgy-Nazargah et al' s works, they address theoretical and finite element investigations of functionally graded piezoelectric materials (FGPMs) for shunted passive vibration damping of laminated composite beams under the different electric shunt circuits [18]. Yao et al have investigated the complicated dynamics behavior and the nonlinear vibrations of the laminated composite piezoelectric structure under the different loading [19][20][21][22].…”

Bending, buckling and free vibration analyses of shallow-to-deep FG curved sandwich beams using a global–local refined shear deformation theory

“…Lezgy-Nazargah [27] studied the coupling thermo-mechanical responses of 2D FG beams using a refined high-order beam theory. By using a refined sinus beam theory, Lezgy-Nazargah et al [28,29] studied static bending, free, and forced vibration behaviours of the FG smart beams. They employed a three-node beam element, which was free from shearlocking to solve the governing equations.…”