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Calculation of the eigenfrequencies for an infinite circular cylinder
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 Title & Authors
Calculation of the eigenfrequencies for an infinite circular cylinder
Baik, Kyungmin; Ryue, Jung-Soo; Shin, Ku-Kyun;
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 Abstract
Present study shows three different methods finding the eigenfrequencies of an infinite circular cylinder under free-vibration; Elasticity theory that can be applied to general case, thin-shell theory that can be effectively applied to the cylinders with small thickness, and numerical study using Finite Element Method (FEM). The results obtained from those methods were verified through the cross check among the calculations. Changing the thickness of the cylinder for a fixed outer radius, all the eigenfrequencies below 1 kHz were found and their dependences on the modal index and the thickness were observed.
 Keywords
Cylinder;Eigenfrequency;Elasticity;Thin-shell;FEM;
 Language
Korean
 Cited by
 References
1.
L. Pochhammer, "Uber die fortpflanzungs -geschwindigkeiten kleiner Schwingungen in unbegrenzten isotropen Kreiszylinder (On the propagation velocities of small vibrations in an infinite isotropic cylinder)" (in German), Zeitschrift fur Reine und Angewandte Mathematik 81, 324-336 (1876).

2.
C. Chree, "The equation of an isotropic elastic solid in polar and cylindrical coordinates, their solution and applications," Transactions of the Cambridge Philosophical Society 14, 250-369 (1889).

3.
J. A. McFadden, "Radial vibrations of thick-walled hollow cylinders," J. Acoust. Soc. Am. 26, 714-715 (1954). crossref(new window)

4.
J. Ghosh, "Longitudinal vibrations of a hollow cylinder," Bull. Calcutta Math. Soc. 14, 31-40 (1923).

5.
D. C. Gazis, "Three-dimensional investigation of the propagation of waves in hollow circular cylinders. I. Analytical foundation," J. Acoust. Soc. Am. 31, 568-573 (1959). crossref(new window)

6.
Leissa, Vibration of shells, (NASASP-288, National Aeronautics and Space Administration, 1973).

7.
A. L. Fetter and J. D. Walecka, Theoretical Mechanics of Particles and Continua (Dover, New York, 2003), pp. 471-473.

8.
E. A. Skelton and J. H. James, Theoretical acoustics of underwater structures, (Imperial College Press, London, 1997), pp. 241-244.

9.
COMSOL, COSMOL Multiphysics Reference Manual, v4.3b., 2013.

10.
H. K. Jo, "A study of comparison with free wave number between a new cylinderical wave equation and the wave equation by Junger and Feit" (in Korean), J. Acoust. Soc. kr. 15, 47-51 (1996).