Self and mutual impulse responses for modes of planar vibrators via plane‐wave spectrum techniques

Abstract

A new technique for evaluating the self and mutual radiation impedances corresponding to the normal modes of a fluid loaded rectangular vibrator mounted in an infinite baffle is presented. The technique is based on the use of a time dependent angular spectrum formulation which leads to double integral representation for self and mutual impulse responses. Since the time limited impulse responses correspond to the inverse Fourier transforms of the self and mutual radiation impedances, the impedances can be readily obtained via the use of standard FFT methods. The advantages of the present approach relative to classical approaches will be presented. Numerical results will then be presented to illustrate the characteristics of the self and mutual impulse responses and radiation impedances for various mode shapes of interest. [Work supported by ONR.]