Piezoelectric Shunt Vibration Damping of Structural Acoustic Systems: Finite Element Formulation and Reduced Order Model

Abstract

For noise and vibration attenuation, various approaches can be employed depending on the frequency range to attenuate. Generally, active or passive piezoelectric techniques are effective in the lowfrequency range, while dissipative materials, such as viscoelastic or porous treatments, are efficient for higherfrequency domain. In this work, a reducedorder model is developed for the approximation of a fully coupled electromechanicalacoustic system using modal projection techniques. The problem consists of an elastic structure with surfacemounted piezoelectric patches coupled with a compressible inviscid fluid. The piezoelectric elements, connected with resonant shunt circuits, are used for the vibration damping of the coupled system. Numerical examples are presented in order to illustrate the accuracy and the versatility of the proposed reducedorder model, especially in terms of prediction of attenuation.