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Strains/Stresses in Plates Subjected to Reverberant Acoustic Excitation Using Statistical Energy Analysis

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Abstract

Objective

Objective of the present work is to theoretically estimate the strains generated in a plate by a reverberant acoustic excitation, in SEA frame work.

New expression

An expression for determining the strains due to the trace wave generated in the plate is derived, which is an essential component of vibration caused due to the acoustic excitation.

Results

Strains developed in a plate when subjected to reverberant acoustic field are obtained experimentally and the results are compared with the theoretically estimated results and they are in good agreement.

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Abbreviations

A :

Area of a plate

a :

Acceleration response of a structure

c :

Speed of sound in air

f :

Frequency, in Hz

m x :

Mean of the random variable x

N :

Number of modes of a subsystem in a frequency band

n i :

Number of modes per Hz in subsystem i

p :

Acoustic pressure

\(v\) :

Velocity of a structure

\(v\) forced :

Velocity of the forced wave

Δω :

Frequency band, in rad/s

\(v\) free :

Velocity of the free wave

η i :

Dissipation loss factor of subsystem i

η ij :

Coupling loss factor for subsystem i to j

µ :

Poisson’s ratio

π i :

Power input to subsystem i

ω :

Circular frequency, in rad/s

ρ :

Mass per unit area

ρ a :

Density of the medium of the acoustic field

ρ v :

Density of the material

σ x :

Standard deviation of the random variable x

τ r :

Random incidence sound power transmission coefficient of a structure

〈 〉x :

Average over the domain x

〈 〉:

Average over the time domain

References

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Author information

Authors and Affiliations

  1. Advanced Technology Development Group, ISRO Satellite Centre, Bangalore, 560017, India

    K. Renji

  2. Structures Group, ISRO Satellite Centre, Bangalore, 560017, India

    S. Josephine Kelvina Florence & M. Mahalakshmi

Authors
  1. K. Renji
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  2. S. Josephine Kelvina Florence
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  3. M. Mahalakshmi
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Corresponding author

Correspondence to K. Renji.

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Renji, K., Josephine Kelvina Florence, S. & Mahalakshmi, M. Strains/Stresses in Plates Subjected to Reverberant Acoustic Excitation Using Statistical Energy Analysis. J. Vib. Eng. Technol. 7, 101–106 (2019). https://doi.org/10.1007/s42417-019-00095-3

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  • DOI: https://doi.org/10.1007/s42417-019-00095-3

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