Research Papers

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

[+] Author and Article Information
Jean-François Deü

Structural Mechanics and Coupled
Systems Laboratory,
Conservatoire National des Arts et Métiers,
2 rue Conté,
Paris 75003, France
e-mail: jean-francois.deu@cnam.fr

Walid Larbi

Assistant Professor
Structural Mechanics and Coupled
Systems Laboratory,
Conservatoire National des Arts et Métiers,
2 rue Conté,
Paris 75003, France
e-mail: walid.larbi@cnam.fr

Roger Ohayon

Fellow ASME
Structural Mechanics and Coupled
Systems Laboratory,
Conservatoire National des Arts et Métiers,
2 rue Conté,
Paris 75003, France
e-mail: roger.ohayon@cnam.fr

Rubens Sampaio

Mechanical Engineering Department,
Rua Marques de Sao Vicente, 225 Gavea,
Rio de Janeiro, RJ 22453-900, Brazil
e-mail: rsampaio@puc-rio.br

1Corresponding author.

Contributed by the Design Engineering Division of ASME for publication in the JOURNAL OF VIBRATION AND ACOUSTICS. Manuscript received August 29, 2012; final manuscript received March 1, 2014; published online April 1, 2014. Assoc. Editor: Jiong Tang.

J. Vib. Acoust 136(3), 031007 (Apr 01, 2014) (8 pages) Paper No: VIB-12-1243; doi: 10.1115/1.4027133 History: Received August 29, 2012; Revised March 01, 2014

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 low-frequency range, while dissipative materials, such as viscoelastic or porous treatments, are efficient for higher-frequency domain. In this work, a reduced-order model is developed for the approximation of a fully coupled electromechanical-acoustic system using modal projection techniques. The problem consists of an elastic structure with surface-mounted 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 reduced-order model, especially in terms of prediction of attenuation.

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Fig. 1

Fluid/structure/piezopatches coupled system

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Fig. 2

Piezoelectric patch connected to RL-shunt circuit

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Fig. 3

Geometrical data and finite element mesh of the acoustic/structure/patches system: (a) geometrical data and (b) finite element mesh

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Fig. 4

First ten fluid-structure coupled modes: fluid pressure level in the cavity and plate total displacement

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Fig. 5

Displacement and pressure responses of the full-order model without damping: (a) mechanical transverse displacement in the plate and (b) sound pressure level in the acoustic cavity

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Fig. 6

Structural-acoustic coupled problem with two piezoelectric patches connected to RL-shunt circuits

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Fig. 7

Influence of the structural and acoustic mode truncation on the response of the reduced-order model with structural damping: (a) mechanical transverse displacement in the plate and (b) sound pressure level in the acoustic cavity

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Fig. 8

Frequency response function: transverse displacement amplitude in dB at the excitation point within the frequency band 0–500 Hz (a) and 0–250 Hz (b)

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Fig. 9

Frequency response function: pressure level in dB at (x = 50.15 m, y = 50.09 m, and z = 50.1 m) within the frequency b and 0–500 Hz (a) and 0–250 Hz (b)



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