Description:
<jats:p>An arbitrarily positioned array of circular pistons in an infinite rigid baffle having an acoustic fluid on one side is analyzed to determine the velocity of each piston and the total radiated pressure, both near- and farfield, when the acoustic-pressure interaction between all the pistons taken into account. The diameter of the pistons and the phase relations between each of the harmonically varying driving forces on the pistons are arbitrary as are the masses of the pistons and the mechanical parameters characterizing the piston assembly. The solution is obtained using oblate spheroidal coordinates and the principle of superposition to reduce the array problem to a collection of simpler problems. The expressions derived appear to have a computational advantage for computing both the velocity of the pistons and the nearfield and farfield pressures. The method can also be extended to two arbitrarily positioned circular elastic plates in an infinite baffle. Numerical results for the series solutions describing the pressure field and the mutual impedances are not given.</jats:p>