Free Vibrations of Fluid-Filled Orthotropic Cylindrical Shells
Publication: Journal of Engineering Mechanics
Volume 123, Issue 11
Abstract
Based on three-dimensional elastic theory, three components of displacement are expanded by orthotropic series. A second-order ordinary differential equation set is then obtained that can be solved by Frobenius Method. Considering the effect of the fluid, we can get the frequency equation of nonaxisymmetric free vibration of orthotropic fluid-filled cylindrical shell with arbitrary constant thickness. Some examples are illustrated to compare results with those based on shell theory.
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References
1.
Conçalves, P. G., and Batista, R. C.(1988). “Non-linear vibration analysis of fluid-filled cylindrical shells.”J. Sound and Vibration, 127, 133–143.
2.
Ding, H. J., Chen, W. Q., and Liu, Z.(1995). “Solutions to equations of vibrations of spherical and cylindrical shells.”Appl. Math. and Mech., 16(1), 1–15.
3.
Fritz, R. J.(1972). “The effect of liquids on the dynamic motion of immersed solids.”J. Engrg. in Industry, 94, 167–173.
4.
Greenspon, J. E.(1961). “Vibration of thick and thin cylindrical shells surrounded by water.”J. Acoustic Soc. of Am., 33, 1321–1328.
5.
Harari, A., and Sandman, B. E.(1990). “Radiation and vibrational properties of submerged stiffened cylindrical shells.”J. Acoustic Soc. of Am., 88, 1817–1830.
6.
Hoff, N. J., and Soong, T. C.(1965). “Buckling of circular cylindrical shells in axial compression.”Int. J. Mech. Sci., 7, 489–520.
7.
Jain, R. K.(1974). “Vibration of fluid-filled orthotropic cylindrical shells.”J. Sound and Vibration, 37, 379–388.
8.
Junger, M. C.(1952). “Vibration of elastic shells in a fluid medium and the associated radiation of sound.”J. Appl. Mech., 74, 439–445.
9.
Mirsky, I.(1964). “Axisymmetric vibrations of orthotropic cylinders.”J. Acoustic Soc. of Am., 36, 2106–2112.
10.
Shang, S. P., and Lei, G. P. (1989). “The free vibration of orthotropic moderately thick cylindrical shells conveying fluid.”Applications of Mech. in Engrg., Hangzhou, 231–241.
11.
Soedel, W.(1983). “Simplified equations and solutions for the vibration of orthotropic cylindrical shells.”J. Sound and Vibration, 87, 555–566.
12.
Upadhyay, P. C., and Mishra, B. K.(1988). “Non-axisymmetric dynamic response of buried orthotropic cylindrical shells.”J. Sound and Vibration, 27, 149–160.
13.
Zhu, D. T.(1984). “On the free vibration of a circular cylindrical shell filled with liquid.”Acta Mechanica Sinica, 16, 141–150.
Information & Authors
Information
Published In
Journal of Engineering Mechanics
Volume 123 • Issue 11 • November 1997
Pages: 1130 - 1133
Copyright
Copyright © 1997 American Society of Civil Engineers.
History
Published online: Nov 1, 1997
Published in print: Nov 1997
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