Free Vibrations of Transversely Isotropic Cylindrical Panels on Pasternak Foundation
Publication: Journal of Engineering Mechanics
Volume 125, Issue 10
Abstract
This note presents an exact analysis of the free vibration of simply supported, transversely isotropic cylindrical panels on a Pasternak foundation. Based on three-dimensional elasticity, a displacement decomposition technique is employed to obtain the Bessel function solutions. The exact frequency equation is then given. Numerical calculations are presented and compared with those of shell theories.
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References
1.
Ambartsumian, S. A. (1962). “Contributions to the theory of anisotropic layered shells.” Appl. Mech. Rev., 15, 245–249.
2.
Chandrashekhara, K., and Nanjunda Rao, K. S. (1996). “Analysis of a long thick orthotropic circular cylindrical shell panel.”J. Engrg. Mech., ASCE, 122, 575–579.
3.
Chau, K. T. (1994). “Vibration of transversely isotropic circular cylinders.” J. Appl. Mech., Trans., ASME, 61, 964–970.
4.
Chen, W. Q., and Ding, H. J. (1997). “On free vibrations of an embedded anisotropic spherical shell.” J. Press. Vess. Tech., Trans., ASME, 119, 481–487.
5.
Greenspon, J. E. (1960). “Vibrations of a thick-walled cylindrical shell.” J. Acoust. Soc. Am., 32, 571–578.
6.
Jain, R. K. (1974). “Vibration of fluid-filled orthotropic cylindrical shells.” J. Sound Vibration, 37, 379–388.
7.
Mirsky, I. (1964). “Vibrations of orthotropic, thick, cylindrical shells.” J. Acoust. Soc. Am., 36, 41–51.
8.
Mirsky, I. (1965). “Wave propagation in transversely isotropic circular cylinders (Part I & Part II).” J. Acoust. Soc. Am., 37, 1016–1026.
9.
Nath, Y., and Jain, R. K. (1983). “Nonlinear dynamic analysis of shallow spherical shells on elastic foundation.” Int. J. Mech. Sci., 25, 409–419.
10.
Nath, Y., Mahrenholtz, O., and Varma, K. K. (1987). “Nonlinear dynamic response of a doubly curved shallow shell on an elastic foundation.” J. Sound Vibration, 112, 53–61.
11.
Paliwal, D. N., Pandey, R. K., and Nath, T. (1996). “Free vibrations of circular cylindrical shell on Winkler and Pasternak foundations.” Int. J. Press. Vess. Piping, 69, 79–89.
12.
Paliwal, D. N., Sinha, S. N., and Choudhary, B. K., Jr. (1986). “Shallow spherical shells on Pasternak foundation.”J. Engrg. Mech., ASCE, 112, 175–182.
13.
Paliwal, D. N., and Srivastava, R. (1994). “Vibration of a shallow spherical shell on a Kerr foundation.” J. Vib. Acoust., Trans., ASME, 116, 47–52.
14.
Soldatos, K. P., and Hadhgeorgiou, V. P. (1990). “Three-dimensional solution of the free vibration problem of homogeneous isotropic cylindrical shells and panels.” J. Sound Vibration, 137, 369–384.
15.
Yu, Y. Y., and Syracuse, N. Y. (1955). “Free vibrations of thin cylindrical shells having finite lengths with freely supported and clamped edges.” J. Appl. Mech., Trans., ASME, 22, 547–552.
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Published In
Journal of Engineering Mechanics
Volume 125 • Issue 10 • October 1999
Pages: 1222 - 1225
History
Published online: Oct 1, 1999
Published in print: Oct 1999
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