<title>A novel passive electric network analog to Kirchhoff-Love plate designed to efficiently damp forced vibrations by distributed piezoelectric tranducers</title>

Abstract

ABSTRACT Recently the concept of Piezo-Electro-Mechanical (PEM) structural member has been developed,2.1 Given astructural member, a set of piezoelectric actuators is uniformly distributed on it and electrically interconnected byone of its analog circuits. In this way it is obtained a high-performances piezoelectric structural-modification aim-ing to multimodal mechanical vibrations control.3 In the present paper it is addressed the problem of synthesizingan electrically dissipative PEM Kirchhoff-Love (K-L) plate by using completely passive electric networks. 1 Introduction The problem of synthesizing a PEM K-L plate has been faced in this work discretizing the Lagrange functionalgoverning the motion of K-L plate by a finite difference method, so determining a novel electric circuit governedby the obtained finite dimensional Lagragian and subsequently suitably introducing optimal dissipative circuitalelements. We design a realistic simply supported PEM K-L plate and study its performances to show its technicalfeasibility. This is obtained via the following steps: I) synthesizing an analog circuit of K-L plate constitutedby completely passive elements; (in1 the synthesized analog circuit cannot dispense with external feeding); II)modelling the Piezo-Electro-Mechanical plates (we want to design) by homogenized P]JEs; III) establishing how