Piezoelectric vibration damping using resonant shunt circuits: an exact solution

Payam Soltani, Gaëtan Kerschen, Gilles Tondreau, Arnaud Deraemaeker

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Abstract

The objective of this paper is to propose an exact closed-form solution to the ${{H}_{\infty }}$ optimization of piezoelectric materials shunted with inductive-resistive passive electrical circuits. Realizing that Den Hartogʼs method which imposes fixed points of equal height in the receptance transfer function is approximate, the parameters of the piezoelectric tuned vibration absorber are calculated through the direct minimization of the maxima of the receptance. The method is applied to a one-degree-of-freedom primary oscillator considering various values of the electromechanical coupling coefficients.
Original languageEnglish
Article number125014
JournalSmart Materials and Structures
Volume23
Issue number12
DOIs
Publication statusPublished - 27 Oct 2014

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