Axisymmetric vibrations of layered cylindrical shells of variable thickness using spline function approximation
![]() ![]() |
Viswanathan, K.K.
(Impact & Fatigue Fracture Lab., Department of Naval Architecture& Ocean Engineering, Inha University)
Kim, Kyung Su (Impact & Fatigue Fracture Lab., Department of Naval Architecture& Ocean Engineering, Inha University) Lee, Jang Hyun (Impact & Fatigue Fracture Lab., Department of Naval Architecture& Ocean Engineering, Inha University) Lee, Chang Hyun (Impact & Fatigue Fracture Lab., Department of Naval Architecture& Ocean Engineering, Inha University) Lee, Jae Beom (Impact & Fatigue Fracture Lab., Department of Naval Architecture& Ocean Engineering, Inha University) |
1 | Greenberg, J.B. and Stavsky, Y. (1980), "Buckling and vibration of orthotropic composite cylindrical shells", Acta Mech., 36, 15-19 DOI |
2 | Konuralp Girgin (2006), "Free vibration analysis of non-cylindrical helices with, variable cross-section by using mixed FEM", J. Sound Vib., 297, 931-945 DOI ScienceOn |
3 | Sivadas, K.R. and Ganesan, N. (1991), "Free vibration of circular cylindrical shells with axially varying thickness", J. Sound Vib., 147, 73-85 DOI ScienceOn |
4 | Suzuki, K., Kosawada, T. and Shikani, G. (1993), "Vibration of rotating circular cylindrical shells with varying thickness", J. Sound Vib., 166, 267-282 DOI ScienceOn |
5 | Toorani, M.H. and Lakis, A.A. (2006), "Free vibrations of non-uniform composite cylindrical shells", Nuclear Eng. Des., 236, 1748-1758 DOI ScienceOn |
6 | Viswanathan, K.K. and Navaneethakrishnan, P.V. (2002), "Buckling of non-uniform plates on elastic foundation:spline method", J. Aeronautical Soc. India, 54, 366-373 |
7 | Wang, X.H., Xu, B. and Redekop, D. (2006), "FEM free vibration and buckling analysis of stiffened toroidal shells", Thin Wall Struct., 44, 2-9 DOI ScienceOn |
8 | Ambartsumyan, S.A. (1964), Theory of Anisotropic Shells, NASA TTF-118 |
9 | Leissa, A.W. (1973), Vibration of Shells, NASA SP-288 |
10 | Bickley, W.G. (1968), "Piecewise cubic interpolation and two-point boundary problems", Comput. J., 11, 206-208 DOI |
11 | Mizusawa, T. and Kito, H. (1995), "Vibration of cross-ply laminated cylindrical panels by the strip method", Comput. Struct., 57, 253-265 DOI ScienceOn |
12 | Reddy, J.N. (1981), "Finite-element modeling of layered anisotropic composite plates and shells-a review of recent research", Shock Vib. Digest, 13, 3-12 |
13 | Kabir, H.R.H., Al-Khaleefi, A.M. and Chaudhuri, R.A. (2001), "Free vibration analysis of thin arbitrarily laminated anisotropic plates using boundary-continuous displacement fourier approach", Compos. Struct., 53, 469-476 DOI ScienceOn |
14 | Hinton, E., Ozakca, M. and Rao, N.V.R. (1995), "Free vibration analysis and shape optimization of variable thickness plates, prismatic folded plates and curved shells, Part 1: Finite strip formulation", J. Sound Vib. 181, 553-566 DOI ScienceOn |
15 | Dong, S.B. (1968), "Free vibration of laminated orthotropic cylindrical shells", J. Acous. Soc. Am., 44, 1628-1635 DOI |
16 | Donnell, L.H. (1933), Stability of Thin-walled Tubes Under Torsion, NASA Report 479, Washington DC |
17 | Elishakoff, L. and Stavsky, Y. (1976), "Asymmetric vibration of polar orthotropic laminated annular plates", AIAA J., 17, 507-513 DOI ScienceOn |
18 | Viswanathan, K.K. and Navaneethakrishnan, P.V. (2003), "Free vibration study of layered cylindrical shells by collocation with splines", J. Sound Vib., 260, 807-827 DOI ScienceOn |
19 | Tsuiji, T. and Sueoka, T. (1989), "Free vibrations of twisted thin cylindrical panels (numerical analysis by using Rayleigh-Ritz method)", Trans. JSME, 55, 1325-1329 DOI |
20 | Viswanathan, K.K. and Navaneethakrishnan, P.V. (2005), "Free vibration of layered truncated conical shell frusta of differently varying thickness by the method of collocation with cubic and quintic splines", Int. J. Solids Struct., 42, 1129-1150 DOI ScienceOn |
21 | Viswanathan, K.K. and Lee, S.-K. (2007), "Free vibration of laminated cross-ply plates including shear deformation by spline method", Int. J. Mech. Sci., 49, 352-363 DOI ScienceOn |
22 | Sivadas, K.R. and Ganesan, N. (1993), "Axisymmetric vibration analysis of thick cylindrical shell with variable thickness", J. Sound Vib., 160, 387-400 DOI ScienceOn |
23 | Shu, C. (1996), "Free vibration analysis of composite laminated shells by generalized differential quadrature", J. Sound Vib., 194, 587-604 DOI ScienceOn |
24 | Sakiyama, T., Hu, X.X., Mastuda, H. and Morita, C. (2002), "Vibration of twisted and curved cylindrical panels with variable thickness", J. Sound Vib., 254, 481-502 DOI ScienceOn |
![]() |