Effects of boundary conditions on the parametric resonance of cylindrical shells under axial loading

Shock and Vibration

Volumn 5, Issue 5-6, 1998, Pages 343-354

  Ng, T Y ^a   Lam, K Y ^a  

^a NATIONAL UNIVERSITY OF SINGAPORE   (Singapore)

Author keywords

[No Author keywords available]

Indexed keywords

APPROXIMATION THEORY; BOUNDARY CONDITIONS; CYLINDERS (SHAPES); DYNAMIC LOADS; LAGRANGE MULTIPLIERS; MODAL ANALYSIS; RESONANCE; SHELLS (STRUCTURES); STRUCTURAL ANALYSIS;

AXIAL LOAD; BOLOTIN METHOD; LAGRANGIAN ENERGY EXPRESSION; LOVE APPROXIMATION THEORY; MATHIEU-HILL EQUATIONS; PARAMETRIC RESONANCE; RITZ METHOD;

VIBRATIONS (MECHANICAL);

EID: 0032228964     PISSN: 10709622     EISSN: None     Source Type: Journal    
DOI: 10.1155/1998/898321     Document Type: Article

References (16)

1. A. Argento, Dynamic stability of composite circular cylindrical shells subjected to combined axial and torsional loading, J. Composite Materials 27 (1993), 1722-1738.
2. A. Argento and R.A. Scott, Dynamic instability of layered anisotropic circular cylindrical chells, part I: Theoretical development, J. Sound and Vibration 162 (1993), 311-322.
3. A. Argento and R.A. Scott, Dynamic instability of layered anisotropic circular cylindrical shells, part II: Numerical results, J. Sound and Vibration 162 (1993), 323-332.
4. C.W. Bert and V. Birman, Parametric instability of thick, orthotropic, circular cylindrical shells, Acta Mechanica 71 (1988), 61-76.
5. R.D. Blevins, Formulas for Natural Frequency and Mode Shape, Van Nostrand-Reinhold, New York, 1979.
6. V.V. Bolotin, The Dynamic Stability of Elastic Systems, Holden-Day, San Francisco, 1964.
7. L.R. Koval, Effect of longitudinal resonance on the parametric stability of an axially excited cylindrical shell, J. Acoustical Society of America 55 (1974), 91-97.
8. K. Y. Lam and C.T. Loy, Effects of boundary conditions on frequencies of a multi-layered cylindrical shell, J. Sound and Vibration 188 (1995), 363-384.
9. C.L. Liao and C.R. Cheng, Dynamic stability of stiffened laminated composite plates and shells subjected to in-plane pulsating forces, J. Sound and Vibration 174 (1994), 335-351.
10. C.L. Liao and C.R. Cheng, Dynamic stability of stiffened laminated composite plates and shells subjected to in-plane pulsating forces, Int. J. Numerical Methods in Engineering 37 (1994), 4167-4183.
11. C. Massalas, A. Dalamangas and G. Tzivanidis, Dynamic instability of truncated conical shells, with variable modulus of elasticity, under periodic compressive forces, J. Sound and Vibration 79 (1981), 519-528.
12. K. Nagai and N. Yamaki, Dynamic stability of circular cylindrical shells under periodic compressive forces, J. Sound and Vibration 58 (1978), 425-441.
13. H.R. Radwan and J. Genin, Dynamic instability in cylindrical shells, J. Sound and Vibration 56 (1978), 373-382.
14. K. Shirakawa, Dynamic stability of cylindrical shells taking into account in-plane inertia and in-plane disturbance, Bulletin of the JSME 23 (1980), 163-169.
15. S.P. Timoshenko and J.M. Gere, Theory of Elastic Stability, 2nd edn, McGraw-Hill, New York, 1961.
16. J.C. Yao, Dynamic stability of cylindrical shells under static and periodic axial and radial loads, AIAA Journal 1 (1963), 1391-1396.