A parametric study of the free vibration analysis of rotating laminated cylindrical shells using the method of discrete singular convolution

Thin-Walled Structures

Volumn 45, Issue 7-8, 2007, Pages 692-698

  Civalek, Ömer ^a  

^a Faculty of Engineering   (Turkey)

Author keywords

Discrete singular convolution; Free vibration; Frequencies; Kernels; Rotating cylindrical shells

Indexed keywords

APPROXIMATION THEORY; BOUNDARY CONDITIONS; CONVOLUTION; LAMINATED COMPOSITES;

DISCRETE SINGULAR CONVOLUTION; FREE VIBRATION; ROTATING CYLINDRICAL SHELLS;

VIBRATION ANALYSIS;

EID: 34548041846     PISSN: 02638231     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.tws.2007.05.004     Document Type: Article

References (32)

1. Wei G.W. Discrete singular convolution for the solution of the Fokker-Planck equations. J Chem Phys 110 (1999) 8930-8942
2. Wei G.W. A new algorithm for solving some mechanical problems. Comput Meth Appl Mech Eng 190 (2001) 2017-2030
3. Wei G.W. Vibration analysis by discrete singular convolution. J Sound Vib 244 (2001) 535-553
4. Wei G.W. Discrete singular convolution for beam analysis. Eng Struct 23 (2001) 1045-1053
5. Wei G.W., Zhou Y.C., and Xiang Y. Discrete singular convolution and its application to the analysis of plates with internal supports. Part 1: theory and algorithm. Int J Num Meth Eng 55 (2002) 913-946
6. Wei G.W., Zhou Y.C., and Xiang Y. The determination of natural frequencies of rectangular plates with mixed boundary conditions by discrete singular convolution. Int J Mech Sci 43 (2001) 1731-1746
7. Zhao Y.B., Wei G.W., and Xiang Y. Discrete singular convolution for the prediction of high frequency vibration of plates. Int J Solids Struct 39 (2002) 65-88
8. Zhao Y.B., and Wei G.W. DSC analysis of rectangular plates with non-uniform boundary conditions. J Sound Vib 255 2 (2002) 203-228
9. Ng C.H.W., Zhao Y.B., and Wei G.W. Comparison of discrete singular convolution and generalized differential quadrature for the vibration analysis of rectangular plates. Comput Meth Appl Mech Eng 193 (2004) 2483-2506
10. Hou Y., Wei G.W., and Xiang Y. DSC-Ritz method for the free vibration analysis of Mindlin plates. Int J Num Meth Eng 62 (2005) 262-288
11. Lim C.W., Li Z.R., and Wei G.W. DSC-Ritz method for high-mode frequency analysis of thick shallow shells. Int J Num Meth Eng 62 (2005) 205-232
12. Lim C.W., Li Z.R., Xiang Y., Wei G.W., and Wang C.M. On the missing modes when using the exact frequency relationship between Kirchhoff and Mindlin plates. Adv Vib Eng 4 (2005) 221-248
13. Civalek O. An efficient method for free vibration analysis of rotating truncated conical shells. Int J Pressure Vessels Piping 83 (2006) 1-12
14. Civalek O. Free vibration analysis of single isotropic and laminated composite conical shells using the discrete singular convolution algorithm. Steel Compos Struct 36 4 (2006) 353-366
15. Civalek O. Three-dimensional vibration, buckling and bending analyses of thick rectangular plates based on discrete singular convolution method. Int J Mech Sci 49 (2007) 752-765
16. Chen Y., Zhao H.B., and Shen Z.P. Vibrations of high speed rotating shells with calculations for cylindrical shells. J Sound Vib 160 (1993) 137-160
17. Bert C.W., Baker J.L., and Egle D.M. Free vibration of multilayered anisotropic cylindrical shells. J Composite Mater 3 (1969) 480-499
18. Dong S.B. Free vibration of laminated orthotropic cylindrical shells. J Acoust Soc Am 44 (1968) 1628-1635
19. Lam K.Y., and Loy C.T. Analysis of rotating laminated cylindrical shells by different shell theories. J Sound Vib 186 1 (1995) 23-35
20. Hua L. Frequency characteristics of a rotating truncated circular layered conical shell. Compos Struct 50 (2000) 59-68
21. Hua L., and Lam K.Y. Frequency characteristics of a thin rotating cylindrical shell using the generalized differential quadrature method. Int J Mech Sci 40 5 (1998) 443-459
22. Liew K.M., Ng T.Y., and Zhao X. Vibration of axially loaded rotating cross-ply laminated cylindrical shells via Ritz method. J Eng Mech (ASCE) 128 9 (2002) 1001-1007
23. Liew K.M., Ng T.Y., Zhao X., and Reddy J.N. Harmonic reproducing kernel particle method for free vibration analysis of rotating cylindrical shells. Comput Meth Appl Mech Eng 191 (2002) 4141-4157
24. Lim C.W., and Liew K.M. A pb-2 Ritz formulation for flexural vibration of shallow cylindrical shells of rectangular planform. J Sound Vib 173 3 (1994) 343-375
25. Lam K.Y., and Loy C.T. Influence of boundary conditions for a thin laminated rotating cylindrical shell. Compos Struct 41 (1998) 215-228
26. Lim C.W., Liew K.M., and Kitipornchai S. Free vibration of pre-twisted, cantilevered composite shallow conical. AIAA J 35 (1995) 327-333
27. Chung H. Free vibration analysis of circular cylindrical shells. J Sound Vib 74 (1981) 331-350
28. Dym C.L. Some new results for the vibrations of circular cylinders. J Sound Vib 29 (1973) 189-205
29. Smith B.L., and Haft E.E. Natural frequencies of clamped cylindrical shells. J Aeronaut Astronaut 6 (1968) 720-721
30. Markus S. The mechanics of vibrations of cylindrical shells (1988), Elsevier, New York
31. Zhang L, Xiang Y, Wei GW. By a local adaptive differential quadrature for free vibration analysis of cylindrical shells with various boundary conditions. Int J Mech Sci 2006.
32. Soldatos K.P. A comparison of some shell theories used for the dynamic analysis of cross-ply laminated circular cylindrical panels. J Sound Vib 97 (1984) 305-319