Abstract
Flexurally vibrating stepped plates of extensive area have been shown to be very effective directional ultrasonic radiators [1]. Thus, there is a need to study these vibrating structural elements. A number of papers on this subject have been published in the past few years. Nevertheless, almost all of them have been restricted to the study of plates with one step and/or to the first vibration mode. This paper deals with a study of axisymmetric vibrating stepped plates without any restriction either in the number of steps or in the order of the vibration mode. The only condition, which has been imposed due to the design of the radiators, is that the number of step discontinuities has to be equal to the number of nodal circles. The analytical approach is based on the Rayleigh method. Iterative numerical procedures have been developed to find the solution of the derived set of equations. Experimental tests on plates vibrating with up to seven nodal circles have been performed.
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