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Power exchanged between subsystems with non-diffuse fields in statistical energy analysis.

V Tyrode1, N Totaro2, L Maxit2

  • 1Univ Lyon, Ecole Centrale de Lyon, Laboratory of tribology and system dynamics, UMR CNRS 5513, 69134, Ecully, France.

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Summary
This summary is machine-generated.

This study revisits the diffuse field assumption in statistical energy analysis. It proposes a new coupling power proportionality using local energy density, valid even without a diffuse field.

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Area of Science:

  • Acoustics and Vibrational Analysis
  • Computational Mechanics
  • Structural Dynamics

Background:

  • Statistical Energy Analysis (SEA) often assumes a diffuse vibrational field.
  • The coupling power proportionality relates exchanged power to modal energy differences.
  • Limitations arise when the diffuse field assumption is violated.

Purpose of the Study:

  • To question the necessity of the diffuse field assumption in SEA.
  • To re-formulate coupling power proportionality using local energy density.
  • To validate the generalized form under non-diffuse conditions.

Main Methods:

  • Theoretical re-formulation of coupling power proportionality.
  • Analysis of non-diffuse field causes: geometrical coherence, non-ergodicity, high damping.
  • Numerical simulations and experimental validation on vibrating plates.

Main Results:

  • The generalized coupling power proportionality holds without a diffuse field.
  • Lack of diffuseness effects were quantified.
  • Experimental and simulation data support the generalized model.

Conclusions:

  • The diffuse field assumption is not strictly necessary for SEA.
  • Local energy density provides a more robust measure for power exchange.
  • The generalized model enhances SEA applicability in complex systems.