Abstract
The dispersion relation of a circular cylindrical shell had been a subject of great interest for several decades [1-3]. In some earlier works, numerical procedures were used exclusively in the computation of dispersion relations. Recently, Karczub [4] obtained an analytical expression for the dispersion relations from Flugge shell theory by using a symbolic algebra package, Mathematica. Karczub’s main concern was to check the agreement between his analytical results and results obtained previously from numerical methods, and limited to the harmonic orders n≧1. The agreement was excellent. The axisymmetric waves (n=0) are important in the transmission of longitudinal waves, and are particularly important in acoustics due to their high radiation efficiency. In order to have complete analytical solutions for the shell dispersion relations, the solutions for the n=0 case are included and discussed in this paper.
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