Free vibration and parametric resonance of shear deformable functionally graded cylindrical panels

Journal of Sound and Vibration

Volumn 261, Issue 5, 2003, Pages 871-893

  Yang, J ^a,b   Shen, Hui Shen ^a  

^a SHANGHAI JIAO TONG UNIVERSITY   (China)

^b WUHAN INSTITUTE OF TECHNOLOGY   (China)

Author keywords

[No Author keywords available]

Indexed keywords

BOUNDARY CONDITIONS; COMPOSITION EFFECTS; DYNAMIC RESPONSE; NATURAL FREQUENCIES; NUMERICAL METHODS; RESONANCE; SHEAR DEFORMATION; SILICON NITRIDE; STAINLESS STEEL; THERMAL EFFECTS; VIBRATIONS (MECHANICAL); VOLUME FRACTION;

BOLOTINS METHOD; FREE VIBRATION; GALERKIN TECHNIQUE; PARAMETRIC RESONANCE; SHEAR DEFORMABLE FUNCTIONALLY GRADED CYLINDRICAL PANELS;

STRUCTURAL PANELS;

EID: 0037431384     PISSN: 0022460X     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0022-460X(02)01015-5     Document Type: Article

References (38)

1. M. Yamanoushi, M. Koizumi, T. Hiraii, I. Shiota (Eds.), Proceedings of the First International Symposium on Functionally Gradient Materials, Sendai, Japan, 1990.
2. M. Koizumi, The concept of FGM, Ceramic Transactions, Functionally Gradient Materials 34 (1993) 3-10.
3. C.T. Loy, K.Y. Lam, J.N. Reddy, Vibration of functionally graded cylindrical shells, International Journal of Mechanical Sciences 41 (1999) 309-324.
4. S.C. Pradhan, C.T. Loy, K.Y. Lam, J.N. Reddy, Vibration characteristics of functionally graded cylindrical shells under various boundary conditions, Applied Acoustics 61 (2000) 119-129.
5. S.W. Gong, K.Y. Lam, J.N. Reddy, The elastic response of functionally graded cylindrical shells to low-velocity impact, International Journal of Impact Engineering 22 (1999) 397-417.
6. X. Han, G.R. Liu, Z.C. Xi, K.Y. Lam, Transient waves in a functionally graded cylinder, International Journal of Solids and Structures 38 (2001) 3021-3037.
7. T.Y. Ng, K.M. Lam, K.M. Liew, J.N. Reddy, Dynamic stability analysis of functionally graded cylindrical shells under periodic axial loading, International Journal of Solids and Structures 38 (2001) 1295-1309.
8. J.N. Reddy, C.F. Liu, A higher-order shear deformation theory of laminated elastic shells, International Journal of Engineering Science 23 (1985) 319-330.
9. A.K. Noor, W.S. Burton, Computational models for high-temperature multilayered composite plates and shells, Applied Mechanics Reviews 45 (1992) 419-445.
10. H.S. Shen, Nonlinear bending response of functionally graded plates subjected to transverse loads and in thermal environments, International Journal of Mechanical Sciences 44 (2002) 561-584.
11. H.S. Shen, Postbuckling of shear deformable cross-ply laminated cylindrical shells under combined external pressure and axial compression, International Journal of Mechanical Sciences 43 (2001) 2493-2523.
12. H.S. Shen, Postbuckling of shear deformable laminated cylindrical shells, Journal of Engineering Mechanics American Society of Civil Engineers 128 (2002) 296-307.
13. J. Yang, H.S. Shen, Dynamic response of initially stressed functionally graded rectangular plates resting on elastic foundations, Composite Structures 54 (2001) 497-508.
14. J. Yang, H.S. Shen, Non-linear analysis of functionally graded plates under transverse and in-plane loads, International Journal of Non-Linear Mechanics 38 (2003) 467-482.
15. J. Yang, H.S. Shen, Vibration characteristics and transient response of shear deformable functionally graded plates in thermal environment, Journal of Sound and Vibration 255 (2002) 579-602.
16. C.W. Bert, D. Malik, Free vibration analysis of thin cylindrical shells by the differential quadrature method, Journal of Pressure Vessel Technology American Society of Mechanical Engineers 118 (1996) 1-12.
17. Q.S. Li, Exact solutions for free vibration of shear type structures with arbitrary distribution of mass or stiffness, The Journal of The Acoustical Society of America 110 (2001) 1958-1966.
18. V.V. Bolotin, The Dynamic Stability of Elastic System, Holden-Day, San Francisco, 1964.
19. Y. Basar, C. Eller, W.B. Krätzig, Finite element procedures for parametric resonance phenomena of arbitrary elastic shell structures, Computational Mechanics 2 (1987) 89-98.
20. J. Moorthy, J.N. Reddy, R.H. Plaut, Parametric instability of laminated composite plates with transverse shear deformation, International Journal of Solids and Structures 26 (1990) 801-811.
21. G. Ganapathi, V. Balamurugan, Dynamic instability analysis of a laminated composite circular cylindrical shell, Computers and Structures 69 (1998) 181-189.
22. G. Ganapathi, T.K. Varadnan, V. Balamurugan, Dynamic instability of laminated composite curved panels using finite element method, Computers and Structures 53 (1994) 335-342.
23. T.Y. Ng, K.Y. Lam, J.N. Reddy, Dynamic stability of cross-ply laminated composite cylindrical shells, International Journal of Mechanical Sciences 20 (1998) 805-823.
24. L. Librescu, S. Thangjitham, Parametric instability of laminated composite shear deformable flat panels subjected to in-plane edge loads, International Journal of Non-Linear Mechanics 25 (1990) 263-273.
25. T.Y. Ng, K.Y. Lam, J.N. Reddy, Parametric resonance of a rotating cylindrical shell subjected to periodic loads, Journal of Sound and Vibration 214 (1998) 513-529.
26. T.Y. Ng, K.Y. Lam, Effects of boundary conditions on the parametric resonance of cylindrical shells under axial loading, Shock and Vibration 5 (1998) 343-354.
27. T.Y. Ng, H. Li, K.Y. Lam, C.T. Loy, Parametric instability of conical shells by the generalized differential quadrature method, International Journal for Numerical Methods in Engineering 44 (1999) 819-837.
28. T.Y. Ng, K.Y. Lam, Parametric stability analysis of cross-ply laminated cylindrical shells using different thin shell theories, Acta Mechanica 134 (1999) 147-167.
29. G. Cederbaum, Analysis of parametrically excited laminated shells, International Journal of Mechanical Sciences 34 (1992) 241-250.
30. T.C.K. Molyneaux, L.Y. Li, Instability of cylindrical panels under combined static and dynamic loads, International Journal of Pressure Vessels and Piping 65 (1996) 163-169.
31. A.A. Popov, J.M.T. Thompson, J.G.A. Croll, Bifurcation analyses in the parametrically excited vibrations of cylindrical panels, Nonlinear Dynamics 17 (1998) 205-225.
32. Y. Kobayashi, A.W. Leissa, Large amplitude free vibration of thick shallow shells supported by shear diaphragms, International Journal of Non-Linear Mechanics 30 (1995) 57-66.
33. Y.C. Chern, C.C. Chao, Comparison of natural frequencies of laminates by 3-D theory, Part II: curved panels, Journal of Sound and Vibration 230 (2000) 1009-1030.
34. M.D. Olson, G.M. Lindberg, Dynamic analysis of shallow shell with a doubly-curved triangular finite element, Journal of Sound and Vibration 19 (1971) 299-318.
35. Y.K. Cheung, W.Y. Li, L.G. Tham, Free vibration analysis of singly curved shell by the spline finite strip method, Journal of Sound and Vibration 128 (1989) 411-422.
36. K.M. Liew, L.A. Bergman, T.Y. Ng, K.Y. Lam, Three-dimensional vibration of cylindrical shell panels-solution by continuum and discrete approaches, Computational Mechanics 26 (2000) 208-221.
37. T.Y. Ng, K.Y. Lam, J.N. Reddy, Dynamic stability of cylindrical panels with transverse shear effects, International Journal of Solids and Structures 36 (1999) 3483-3496.
38. Y.S. Touloukian, Thermophysical Properties of High Temperature Solid Materials, McMillan, New York, 1967.