A theoretical and experimental study of vibrations of thick circular cylindrical shells and rings

Journal of Vibration and Acoustics, Transactions of the ASME

Volumn 110, Issue 4, 1988, Pages 533-537

  Singal, R K ^a   Williams, K ^b  

^a Industry Canada   (Canada)

^b UNIVERSITY OF SASKATCHEWAN   (Canada)

Author keywords

[No Author keywords available]

Indexed keywords

ELASTICITY--THEORY;

ENERGY METHOD; FREQUENCY EQUATION; RESONANT FREQUENCY CALCULATION; THICK CIRCULAR CYLINDRICAL SHELLS;

DOMES AND SHELLS;

EID: 0024090425     PISSN: 10489002     EISSN: 15288927     Source Type: Journal    
DOI: 10.1115/1.3269562     Document Type: Article

References (14)

1. Love, A. E. H., 1888, “The Small Free Vibrations of a Thin Elastic Shell,” Phil. Trans. Roy. Soc. (London), Ser. A 179, pp. 491-549.
2. Love, A. E. H., 1944, “A Treatise on the Mathematical Theory of Elasticity,” 4th ed., Dover Publications, New York.
3. Flugge, W., 1973, Stresses in Shells, 2nd ed., Springer-Verlag, New York.
4. Donnell, L. H., 1933, “Stability of Thin Walled Tubes Under Torsion,” NACA Report No. 479.
5. Mushtari, K. M., 1938, “On the Stability of Cylindrical Shell Subject to Torsion,” Trudy Kaz. avais, in-ta 2.
6. Reissner, E., 1941, “A New Derivation of the Equations of the Deformation of Elastic Shells,” American Journal of Math., Vol. 63, pp. 177-184.
7. Sanders, J. L., 1959, “An Improved First Approximation Theory for Thin Shells,” NASA Report NASA-TR-R24.
8. Leissa, A. W., 1973, “Vibrations of Shells,” NASA Report NASA-SP-288, Ohio State University.
9. Anderson, R. A., 1967, Fundamentals of Vibrations, The Macmillan Company, New York.
10. Verma, S. P., Singal, R. K., and Williams, K., 1987, “Vibration Behavior of Stators of Electrical Machines, Part I: Theoretical Study,” Journal of Sound and Vibration, Vol. 115, No. 1, pp. 1-12.
11. Singal, R. K., 1986, “Vibrational Behavior of Stators of Electrical Machines,” Ph.D. Thesis, University of Saskatchewan, Saskatoon, Canada.
12. Endo, M., 1972, “Flexural Vibrations of a Ring with Arbitrary Crosssection,” Bull. JSME, Vol. 15, pp. 446-454.
13. Girgis, R. S., and Verma, S. P., 1981, “Method for Accurate Determination of Resonant Frequencies and Vibration Behavior of Stators of Electrical Machines,” IEE Proc. B. Electr. Power Appl., Vol. 128, No. 1, pp. 1-11.
14. Singal, R. K., Williams, K., and Verma, S. P., 1987, “Vibration Behavior of Stators of Electrical Machines, Part II: Experimental Study,” Journal of Sound and Vibration, Vol. 115, No. 1, pp. 13-23.