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Finite element modelling of hybrid active–passive vibration damping of multilayer piezoelectric sandwich beams—part I: Formulation
Author(s) -
Trindade M. A.,
Benjeddou A.,
Ohayon R.
Publication year - 2001
Publication title -
international journal for numerical methods in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.421
H-Index - 168
eISSN - 1097-0207
pISSN - 0029-5981
DOI - 10.1002/nme.189
Subject(s) - finite element method , cantilever , viscoelasticity , piezoelectricity , core (optical fiber) , structural engineering , vibration , timoshenko beam theory , beam (structure) , displacement (psychology) , reduction (mathematics) , modal , materials science , vibration control , engineering , acoustics , physics , mathematics , composite material , geometry , psychology , psychotherapist
Abstract This work, in two parts, proposes, in this first part, an electromechanically coupled finite element model to handle active–passive damped multilayer sandwich beams, consisting of a viscoelastic core sandwiched between layered piezoelectric faces. The latter are modelled using the classical laminate theory, whereas the face/core/face system is modelled using classical three‐layers sandwich theory, assuming Euler–Bernoulli thin faces and a Timoshenko relatively thick core. The frequency‐dependence of the viscoelastic material is handled through the anelastic displacement fields (ADF) model. To make the control system feasible, a modal reduction is applied to the resulting ADF augmented system. Validation of the approach developed in this part is presented in Part 2 of the paper together with the hybrid damping performance analysis of a cantilever beam. Copyright © 2001 John Wiley & Sons, Ltd.