The Velocity of Longitudinal Waves in Cylindrical Bars

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Abstract
The velocity of longitudinal waves in cylindrical bars may be expressed as the velocity at infinite wave-length times a function of two variables: Poisson's ratio, and the ratio of the diameter of the bar to the wave-length. This function is computed over the domain of the arguments which is of physical interest. Asymptotic values for the velocities at very short wave-lengths are deduced, and the variation of the displacement as a function of the radius is discussed. It is found that a similar analysis can be applied to torsional and flexural waves.