Abstract
An analysis is made of the motion response of a rigid, circular piston imbedded in an infinite baffle. Classical development of the equation of motion of the piston and the acoustic impedance are used to determine the velocity-force admittance function of system and the acoustic pressure-force-transfer function. For the case of the piston subjected to a random exciting force with the characteristics of ideal white noise, the mean-square response velocity of the piston and the mean-square acoustic response pressure are calculated. The results in both cases are integrals that are numerically evaluated by the reduction of each to dimensionless form. Two approximate expressions for both large and small argument values are developed by the use of simplified expressions for the Bessel functions in the exact result. The results indicate the relative importance of mechanical damping in comparison to acoustic damping, the validity of the two approximate results compared to the exact one, and the useful ranges of parameters over which these approximate solutions are valid. [This work is sponsored by NASA, Langley Research Center.]
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