Title page for ETD etd-03282002-120129


Type of Document Master's Thesis
Author Maurini, Corrado
Author's Email Address cmaurini@vt.edu
URN etd-03282002-120129
Title Electromechanical Coupling of Distributed Piezoelectric Transducers for Passive Damping of Structural Vibrations: Comparison of Network Configurations
Degree Master of Science
Department Engineering Science and Mechanics
Advisory Committee
Advisor Name Title
dell'Isola, Francesco Committee Co-Chair
Henneke, Edmund G. II Committee Co-Chair
Batra, Romesh C. Committee Member
Morris, Don H. Committee Member
Keywords
  • Electric Networks
  • Piezoelectric Transducers
  • Vibration Control
  • Wave Propagation
  • Virtual Power Principle
Date of Defense 2002-02-15
Availability restricted
Abstract
In this work passive piezoelectric devices for vibration damping are studied. It is developed the basic idea of synthesizing electrical wave guides to obtain an optimal electro-mechanical energy exchange and therefore to dissipate the mechanical vibrational energy in the electric form. Modular PiezoElectroMechanical (PEM) structures are constituted by continuous elastic beams (or bars) coupled, by means of an array of PZT transducers, to lumped dissipative electric networks. Both refined and homogenized models of those periodic systems are derived by an energetic approach based on the principle of virtual powers. Weak and strong formulation of the dynamical problem are presented having in mind future studies involving the determination of numerical solutions.

In this framework the effectiveness of the proposed devices for the suppression of mechanical vibrations is investigated by a wave approach, considering both the extensional and flexural oscillations. The optimal values of the electric parameters for a fixed network topology are derived analytically by a pole placement technique. Their sensitivities on the dimensions of the basic cell of the periodic system and on the design frequency are studied. Moreover the dependence of damping performances on the frequency is analyzed. Comparing the performances of different network topological configurations, the advantages of controlling a mechanical structure with an electric analog are shown. As a consequence of those results, new interconnections of PZT transducers are proposed.

An experimental setup for the validation of the analytical and numerical results is proposed and tested. A classical experience on resonant shunted PZT is reproduced. Future experimental work is programmed.

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