Parametric resonance of cylindrical shells by different shell theories

AIAA Journal

Volumn 37, Issue 1, 1999, Pages 137-140

  Lam, K Y ^a   Ng, T Y ^a  

^a NATIONAL UNIVERSITY OF SINGAPORE   (Singapore)

Author keywords

[No Author keywords available]

Indexed keywords

CYLINDERS (SHAPES); DYNAMIC RESPONSE; EQUATIONS OF MOTION; RESONANCE; STRESS ANALYSIS;

DONNELL SHELL THEORY; FLUGGE SHELL THEORY; LOVE SHELL THEORY; MATHIEU-HILL EQUATION; NORMAL MODE EXPANSION;

SHELLS (STRUCTURES);

EID: 0032758214     PISSN: 00011452     EISSN: None     Source Type: Journal    
DOI: 10.2514/2.681     Document Type: Article

References (9)

1. Donnell, L. H., "Stability of Thin Walled Tubes Under Torsion," NACA Rept. 479, 1933.
2. Love, A. E. H., A Treatise on the Mathematical Theory of Elasticity, 4th ed., Cambridge Univ. Press, New York, 1952, Chap. 24.
3. Flügge, W., Stresses in Shells, Springer-Verlag, Berlin, 1933, Chap. 5.
4. Lam, K. Y., and Ng, T. Y., "Dynamic Stability Analysis of Cylindrical Shells Subjected to Conservative Periodic Axial Loads Using Different Thin Shell Theories," Journal of Sound and Vibration, Vol. 207, No. 4, 1997, pp. 497-520.
5. Bolotin, V. V., The Dynamic Stability of Elastic Systems, Holden-Day, San Francisco, 1964, Chap. 14.
6. Yao, J. C., "Nonlinear Elastic Buckling and Parametric Excitation of a Cylinder Under Axial Loads," Journal of Applied Mechanics, Vol. 29, March 1965, pp. 109-115.
7. Vijayaraghavan, A., and Evan-Iwanowski, R. M., "Parametric Instability of Circular Cylindrical Shells," Journal of Applied Mechanics, Vol. 31, Dec. 1967, pp. 985-990.
8. Timoshenko, S. P., and Gere, J. M., Theory of Elastic Stability, McGraw-Hill, New York, 1961, Chap. 11.
9. Lam, K. Y., and Loy, C. T., "Analysis of Rotating Laminated Cylindrical Shells Using Different Shell Theories," Journal of Sound and Vibration, Vol. 186, No. 1, 1995, pp. 23-35.