Summary
The present paper considers longitudinal vibrations of a homogeneous truncated cone. This is probably one of the few cases relating to vibrating rods of variable cross-section, where it is possible to give an exact solution instead of using the well-known laborious approximate procedures.
In what follows we apply classical methods, although the problem in question could be treated also by means of the Laplace transformation.
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Vodička, V. Longitudinal vibrations of a conical bar. Appl. sci. Res. 11, 13–16 (1963). https://doi.org/10.1007/BF03184705
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DOI: https://doi.org/10.1007/BF03184705