Abstract
THAT a high frequency longitudinal vibration will travel more slowly than a low frequency one may be qualitatively foretold from Rayleigh's1 treatment of the effect of lateral inertia on the natural period of longitudinal vibration of cylindrical rods. However, when Rayleigh's formula is applied to the case given by Dr. Wall2, where the wave-length is stated to be 18 inches and the diameter 0·123 in., the effect of lateral inertia is found to be negligible.
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References
“Theory of Sound”, vol. 1, p. 251.
NATURE, 135, 151; 1935.
Canad. J. Research, 5, 601; 1931.
Phys. Rev., 38, 935; 1930.
Canad. J. Research, 11, 254; 1934.
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SPROULE, D. Simultaneous Travel of a Surge of Stress and a Group of High-Frequency Waves of Stress in a Steel Wire. Nature 135, 547 (1935). https://doi.org/10.1038/135547a0
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DOI: https://doi.org/10.1038/135547a0