Summary
Free radial vibration of a non-homogeneous circular plate of variable thickness has been studied. The thickness at a distancer from the axis through the centre of the plate perpendicular to the middle surface is chosen to be a function ofr. The problem has been solved for a disc with a central hole and also for one having no central hole.
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References
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Gray andMathews,A Treatise on Bessel Functions and their Applications to Physics (1895).
Jahnke andEmde,Table of Functions with Formulae and Curves.
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Roy, P. On the radial vibration of a non-homogeneous circular disc of variable thickness. PAGEOPH 109, 1738–1742 (1973). https://doi.org/10.1007/BF00876099
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DOI: https://doi.org/10.1007/BF00876099