Pw. Smith et al., STRUCTURAL WAVE REFLECTION COEFFICIENTS OF CYLINDRICAL-SHELL TERMINATIONS - NUMERICAL EXTRACTION AND RECIPROCITY CONSTRAINTS, The Journal of the Acoustical Society of America, 101(2), 1997, pp. 900-908
A fluid-loaded cylindrical shell guides vibratory energy along its axi
al direction in the form of a finite set of distinct traveling wave ty
pes. On a finite shell, the energy incident upon a termination is redi
rected into reflected waves of all types and into sound radiated into
the farfield. (The total field near the termination also includes vari
ous evanescent components.) Reflection coefficients relate the amplitu
des of individual reflected wave types to the amplitudes of individual
incident wave types. In this paper, values for the reflection coeffic
ients of several terminations have been extracted from results of fini
te element analysis for the forced response of a finite structure exci
ted by a variety of different sources. The numerical results exhibit g
ood agreement with the analytical constraints consequent to the princi
ple of reciprocity. The constraints are developed here by an analysis
adaptable to other multimodal waveguides by appropriate modification o
f detail. (C) 1997 Acoustical Society of America.