TY - JOUR
T1 - Piezo-ElectroMechanical (PEM) Kirchhoff-Love plates
AU - Alessandroni, Silvio
AU - Andreaus, Ugo
AU - Dell'Isola, Francesco
AU - Porfiri, Maurizio
N1 - Funding Information:
The partial support of the Engineering Science and Mechanics Department of the Virginia Polytechnic Institute and State University is gratefully acknowledged by the authors. This presented research has been also partially supported by MIUR, Ministero per l’Innovazione, l’Università e la Ricerca Fondi Ricerca PRIN “Sintesi di circuiti piezoelettrici e tecniche di disaccoppiamento per il controllo di vibrazioni meccaniche” (protocollo 2001097882_003) and by the Università di Roma “La Sapienza” Progetto di Ateneo “Soppressione delle vibrazioni mediante modifiche strutturali: modelli continui e discreti” (codice progetto C26A038198). The authors would like to thank the reviewers for their comments that led to a considerable improvement in the manuscript.
PY - 2004/7
Y1 - 2004/7
N2 - Recently, the concept of Piezo-ElectroMechanical (PEM) structural members has been developed by Alessandroni et al. (Int. J. Solids Structures 39 (20) (2002) 5279) and Andreaus et al. (J. Vib. Control (2004) in press). Given a structural member, a set of piezoelectric transducers is uniformly distributed on it and electrically interconnected by a circuit that is the electric analog of the host member. In this way a high-performances piezoelectric structural-modification is obtained, that aims to control multimodal mechanical vibrations (see, e.g., Vidoli and dell'Isola (Acta Mech. 141 (2000) 37)). In the present paper the problem of synthesizing an electrically dissipative PEM Kirchhoff-Love (K-L) plate by using completely passive electric elements is addressed. This is done by using a discrete form of the Lagrange functional governing the motion of a K-L plate by a finite difference method. Hence a novel electric circuit governed by the obtained finite dimensional Lagragian is determined. Multimodal vibration damping is achieved by completing this new circuit with optimally dimensioned and positioned resistors. A realistic simply-supported PEM K-L plate has been designed and its performances in the case of free and forced vibrations have been studied to show its technical feasibility.
AB - Recently, the concept of Piezo-ElectroMechanical (PEM) structural members has been developed by Alessandroni et al. (Int. J. Solids Structures 39 (20) (2002) 5279) and Andreaus et al. (J. Vib. Control (2004) in press). Given a structural member, a set of piezoelectric transducers is uniformly distributed on it and electrically interconnected by a circuit that is the electric analog of the host member. In this way a high-performances piezoelectric structural-modification is obtained, that aims to control multimodal mechanical vibrations (see, e.g., Vidoli and dell'Isola (Acta Mech. 141 (2000) 37)). In the present paper the problem of synthesizing an electrically dissipative PEM Kirchhoff-Love (K-L) plate by using completely passive electric elements is addressed. This is done by using a discrete form of the Lagrange functional governing the motion of a K-L plate by a finite difference method. Hence a novel electric circuit governed by the obtained finite dimensional Lagragian is determined. Multimodal vibration damping is achieved by completing this new circuit with optimally dimensioned and positioned resistors. A realistic simply-supported PEM K-L plate has been designed and its performances in the case of free and forced vibrations have been studied to show its technical feasibility.
KW - Distributed control
KW - Passive networks
KW - Piezoelectric transducers
KW - Vibration control
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U2 - 10.1016/j.euromechsol.2004.03.003
DO - 10.1016/j.euromechsol.2004.03.003
M3 - Article
AN - SCOPUS:2942606291
SN - 0997-7538
VL - 23
SP - 689
EP - 702
JO - European Journal of Mechanics, A/Solids
JF - European Journal of Mechanics, A/Solids
IS - 4
ER -