The relation between frequency and propagation constant, for axially symmetric waves in an infinitely long, isotropic, circular rod, as given by Pochhammer’s equation, is explored. A spectrum, covering a large range of frequencies, is developed for real, imaginary, and complex propagation constants, and the influence of Poisson’s ratio is described.
Dispersion of Axially Symmetric Waves in Elastic Rods
H. D. McNiven,
Institute of Industrial Science, University of Tokyo, Tokyo, Japan
H. D. McNiven
University of California, Berkeley, Calif.
R. D. Mindlin
Columbia University, New York, N. Y.
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Onoe, M., McNiven, H. D., and Mindlin, R. D. (December 1, 1962). "Dispersion of Axially Symmetric Waves in Elastic Rods." ASME. J. Appl. Mech. December 1962; 29(4): 729–734. https://doi.org/10.1115/1.3640661
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