Sound power radiated from rectangular plates

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Authors

  • Dingguo ZOU Auburn University, Mechanical Engineering Department
  • Malcolm J. CROCKER Auburn University, Mechanical Engineering Department

Abstract

An equation for calculating the sound power radiated from a rectangular plate with arbitrary boundary conditions is derived, in which the sound power radiated from the plate is represented in terms of the normal velocity distribution on the plate and a coupling matrix. The velocity distribution on the plate is expressed in terms of the modal amplitudes and normal modes. The coupling matrix for arbitrary boundary conditions is developed mathematically using the Rayleigh integral. Finally, an approach to compute the radiation efficiency for modes of vibration is presented and the radiation efficiency of the first four most efficient vibration modes for six different boundary conditions is presented.

Keywords:

plate vibration, normal modes, boundary conditions, coupling matrix, sound power radiated by plates, Rayleigh integral, radiation efficiency, shape functions, noise control, vibration control