The Free Vibration of a Cylindrical Shell on an Elastic Foundation

Journal of Vibration and Acoustics, Transactions of the ASME

Volumn 120, Issue 1, 1998, Pages 63-71

  Paliwal, D N ^a   Pandey, Rajesh K ^a  

^a MOTILAL NEHRU NATIONAL INSTITUTE OF TECHNOLOGY   (India)

Author keywords

[No Author keywords available]

Indexed keywords

EIGENVALUES AND EIGENFUNCTIONS; ELASTICITY; FOUNDATIONS; NATURAL FREQUENCIES; VIBRATIONS (MECHANICAL);

FIRST ORDER SHELL THEORY;

SHELLS (STRUCTURES);

EID: 0031646638     PISSN: 10489002     EISSN: 15288927     Source Type: Journal    
DOI: 10.1115/1.2893828     Document Type: Article

References (9)

1. Arnold, R. N., and Warburton, G. B., 1949, “Flexural Vibrations of the Walls of Thin Cylindrical Shell Having Freely Supported Ends,” Proceedings of the Royal Society of London, A197, pp. 238-256.
2. Dym, C. L., 1973, “Some New Results for the Vibrations of Circular Cylinders,” Journal of Sound and Vibration, Vol. 29, No. 2, pp. 189-205.
3. Forsberg, KM 1964, “Influence of Boundary Conditions on the Modal Characteristics of Thin Cylindrical Shells,” AIAA Journal Vol. 2, No. 12, pp. 2150-2157.
4. Forsberg, K., 1965, “Review of Analytical Methods Used to Determine the Modal Characteristics of Cylindrical Shells,” Lockheed Missiles and Space Company Technical Report No, 6-75-65-25.
5. Leissa, A., Vibration of Shells, NASA SP-288, Washington, D.C., 1973, pp. 32-34.
6. Love, A. E. H., 1888, “On the Small Free Vibrations and Deformations of Thin Elastic Shells,” Philosophical Transactions of the Royal Society of London, Series A, Vol. 179, pp. 491-546.
7. Markus, S., 1988, The Mechanics of Vibrations of Cylindrical Shell, Elsevier Science Publishers, The Netherlands, pp. 1-101.
8. Rayleigh, Lord, 1881, “On the Infinitesimal Bending of Surfaces of Revolution,” Proceedings of the London Mathematical Society, Vol. 13, pp. 4-16.
9. Warburton, G. B., 1965, “Vibration of Thin Cylindrical Shells,” Journal of Mechanical Engineering Science, Vol. 7, No. 4, pp. 399-406.