Abstract
An investigation of the factors affecting the selective propagation of elastic waves in the lowest longitudinal mode of a cylindrical bar, originally conducted under Ordnance Corps contract, has been continued and expanded to include a general study of all the lower longitudinal and flexural modes. The Pochhammer-Chree frequency equations for these modes have been programmed for solution by computing machine. Both phase and group velocities have been calculated as functions of the diameter-frequency product for a range of values of Poisson's ratio. Flexural modes having several nodal diameters have been included. The group velocity calculations have been compared with the experimentally observed velocities of elastic wave pulses excited and detected in circular cylinders by piezoelectric transducers. Velocities in cylinders of fused quartz and various metals with diameters ranging between 0.05 cm and 0.2 cm in diameter have been measured at frequencies up to several megacycles. Results of these measurements will be discussed and related to the theoretical calculations.
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