Abstract
A fluid-loaded cylindrical shell guides vibratory energy along its axial direction in the form of a finite set of distinct traveling wave types. On a finite shell, the energy incident upon a termination is redirected into reflected waves of all types and into sound radiated into the farfield. (The total field near the termination also includes various evanescent components.) Reflection coefficients relate the amplitudes of individual reflected wave types to the amplitudes of individual incident wave types. In this paper, values for the reflection coefficients of several terminations have been extracted from results of finite element analysis for the forced response of a finite structure excited by a variety of different sources. The numerical results exhibit good agreement with the analytical constraints consequent to the principle of reciprocity. The constraints are developed here by an analysis adaptable to other multimodal waveguides by appropriate modification of detail.
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