Summary
The radial vibration of cylinders and spheres of material with transverse curvilinear isotropy is considered. It is found that for cylinders and spheres the frequency equation is basically the same. Values of the first frequency are presented in graphical form.
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References
Hearmon, R. F. S., An Introduction to Applied Anisotropic Elasticity, Oxford University Press, 1961.
Love, A. E. H., A Treatise on the Mathematical Theory of Elasticity, Cambridge University Press, 3rd ed., p. 162, 1920.
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Eason, G. On the vibration of anisotropic cylinders and spheres. Appl. sci. Res. 12, 81–85 (1964). https://doi.org/10.1007/BF03184751
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DOI: https://doi.org/10.1007/BF03184751