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On the sampling criterion for structural radiation in fluid.

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Area of Science:

  • Acoustics
  • Structural Dynamics
  • Experimental Mechanics

Background:

  • Experimental vibro-acoustic analysis often requires fine surface discretization, making it complex and error-prone.
  • The structural Nyquist criterion dictates small patch sizes for accurate surface vibration measurements.

Purpose of the Study:

  • To investigate the feasibility of using coarse surface sampling for sound radiation analysis.
  • To develop a method for accurate radiated power approximation beyond the structural Nyquist limit.
  • To provide a criterion for optimizing patch size based on desired accuracy and frequency range.

Main Methods:

  • Analysis of a simply supported baffled plate excited by a broadband point force.
  • Averaging complex-valued surface vibration fields over larger patches.
  • Derivation of an analytical expression to quantify spatial aliasing error.

Main Results:

  • Accurate radiated power approximations are achievable with coarse sampling, exceeding the structural Nyquist frequency limit.
  • Structural wave components with wavenumbers greater than the acoustic wavenumber are effectively averaged out.
  • Spatial aliasing introduces an error that can be quantified and managed.

Conclusions:

  • Coarse surface sampling with patch averaging enhances the practical feasibility of experimental vibro-acoustic investigations.
  • The proposed method reduces measurement efforts and can be applied to numerical model size reduction.
  • An optimized patch size can be determined for specific accuracy and frequency requirements.