The Velocity of Longitudinal Waves in Cylindrical Bars

This is the authors' abstract. We don't add key points for this paper.

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.