Resonant vibrations of free cylinders and disks

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Abstract
A complete solution is obtained for nonaxisymmetric resonant vibrations of a free cylinder or disk involving infinite sums. For axisymmetric longitudinal vibrations an alternative to previous solutions is included. In principle, the solutions satisfy exactly the stress-free boundary conditions , in contrast to the approximate bending-mode solutions due to Pickett or approximate solutions based on a small diameter/length ratio and small shearing stresses at the ends. Subject Classification: 40.26, 40.24; 20.40.

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