High‐Frequency Response of a Point‐Excited Cylindrical Shell

The normal‐mode solution for the response of a point‐excited cylindrical shell converges poorly for high frequencies. Converting the normal‐mode series to an integral representation using a Watson transformation, we obtain a new alternate representation of the solution which converges with only very few terms in the high‐frequency regime. Furthermore, this new representation, when compared to the response of a point‐excited plate, can be interpreted as a superposition of propagating disturbances that circumnavigate the cylinder in helical paths from the drive path to the field point, with the phase velocity characteristic of flexural waves in a flat plate.