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Diffuse wavefields in cylindrical coordinates.

R S Langley1, P J Shorter

  • 1Department of Engineering, University of Cambridge, United Kingdom. rsl21@eng.cam.ac.uk

The Journal of the Acoustical Society of America
|October 26, 2002
PubMed
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This study models diffuse wavefields using cylindrical waves, establishing a relationship between energy flow and energy density for plates. This advances vibro-acoustic analysis and statistical energy analysis calculations.

Area of Science:

  • Vibro-acoustics
  • Wave propagation physics

Background:

  • Diffuse wavefields are typically defined using plane waves.
  • Defining diffuse fields with cylindrical waves for 2D components like plates is challenging.

Purpose of the Study:

  • To model diffuse wavefields using cylindrical waves.
  • To establish a relationship between energy flow and energy density for wave components in plates.

Main Methods:

  • Modeling diffuse wavefields as statistically independent cylindrical waves.
  • Deriving a relationship between energy flow (P) and energy density (e) as P = ec(g)/k.

Main Results:

  • A diffuse wavefield can be represented by statistically independent cylindrical waves, with correlations between incoming and outgoing waves of the same order.

Related Experiment Videos

  • The derived relationship P = ec(g)/k holds for bending, longitudinal, and shear waves in plates.

    • Conclusions:

    • The findings provide a method to model diffuse wavefields using cylindrical waves.
    • This research has direct applications in calculating coupling loss factors within statistical energy analysis.