Archives of Acoustics, 34, 1, pp. 25–39, 2009

Sound power radiated from rectangular plates

Dingguo ZOU
Auburn University, Mechanical Engineering Department

Malcolm J. CROCKER
Auburn University, Mechanical Engineering Department

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
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