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Enhancement of low-frequency sound insulation using piezoelectric resonators

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Journal of the Brazilian Society of Mechanical Sciences and Engineering Aims and scope Submit manuscript

Abstract

In this paper, piezoelectric patches and electrical circuits are associated to attenuate vibration of a flat panel. The resulting electrical network is equivalent to a resistor–inductor–capacitor circuit performing as a tuned vibration absorber, denoted by piezoelectric resonator. The choice of design parameters, such as the correct placement for piezoelectric patches and the optimal electrical circuit elements, is assisted by finite element simulation and theoretical analysis. Measurements of sound transmission loss and modal analysis are conducted to demonstrate the structural vibration control and its resulting sound insulation performance. It is shown that, despite its reduced mass, the piezoelectric resonator can be more effective than conventional damping in low frequencies, which enables the overall sound insulation system to perform, with lower mass, in a wider frequency range.

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Abbreviations

C :

Generic capacitance (F)

[C E]:

Elasticity matrix (Pa)

[e]:

Piezoelectric constants matrix (C/m2)

f :

Generic frequency (Hz)

k 31 :

Electromechanical coupling coefficient

K 31 :

Generalized electromechanical coupling

L :

Generic inductance (H)

R :

Generic resistance (Ω)

r opt :

Optimal circuit damping

{D}:

Electrical displacement vector (C/m2)

{S}:

Strain tensor (m/m)

{E}:

Electric field vector (N/C)

T k :

Kinetic energy (J)

P :

Potential energy (J)

W :

Generic work (J)

Q :

Surface charge (A/m2)

{u}:

Displacement vector (m)

[K]:

Generic stiffness matrix

[M]:

Generic mass matrix

[L u ]:

Differential operator

[G]:

Elasticity constants matrix

[N]:

Generic interpolation function

[B]:

Generic interpolation function derivative

ω e :

Electric resonance (rad/s)

ω :

Generic resonance (rad/s)

η :

Damping loss factor

{ϕ}:

Electric potential vector (V)

[ε S]:

Permittivity matrix (F/m)

ρ :

Mass density (kg/m3)

∇:

Gradient operator

{σ}:

Stress tensor (N/m2)

s :

Refers to base structure

s:

Refers to short circuit

o:

Refers to open circuit

p :

Refers to piezoelectric material

u :

Refers to displacement

ϕ :

Refers to electric potential

ϕϕ :

Indicates piezoelectric matrix

uϕ :

Indicates electromechanical coupling

uu :

Indicates piezoelectric and structural association

E :

Measured at constant electric field

e :

Refers to finite element

S :

Measured at constant strain

T :

Transposed matrix

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Authors and Affiliations

  1. General Motors do Brasil, Cruz Alta Proving Grounds, Indaiatuba, SP, 13347500, Brazil

    Téo L. Rocha, Márcio Calçada & Yuri A. Ribeiro Silva

Authors
  1. Téo L. Rocha
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  2. Márcio Calçada
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  3. Yuri A. Ribeiro Silva
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Correspondence to Téo L. Rocha.

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Technical Editor: Marcelo Savi.

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Rocha, T.L., Calçada, M. & Silva, Y.A.R. Enhancement of low-frequency sound insulation using piezoelectric resonators. J Braz. Soc. Mech. Sci. Eng. 35, 357–367 (2013). https://doi.org/10.1007/s40430-013-0034-x

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  • DOI: https://doi.org/10.1007/s40430-013-0034-x

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