Abstract
In the present paper an approach is presented to evaluate the transient near- and farfield pressures which result from the specified time-dependent velocity of a finite axisymmetric vibrating planar surface. The surface may represent the vibrating face of a disk transducer or it may represent the vibrating surface of a membrane or plate. The approach is based on expanding the velocity of the vibrator as a summation of radially dependent functions with time-dependent coefficients. The time-dependent pressure at any point in the field is then expressed as a summation of convolution integrals which involve the time-dependent coefficients and generalized impulse responses [P. Stepanishen, J. Acoust. Soc. Am. 49, 1628–1639 (1971)]. Applications of the approach to study the time-dependent pressure field which results from the axisymmetric motion of a disk transducer, membrane, and plate are discussed and numerical results are presented for specific cases of interest. [This work was supported by NIH.]
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