Vibration studies of rotating cylindrical shells with arbitrary edges using characteristic orthogonal polynomials in the Rayleigh-Ritz method

International Journal of Mechanical Sciences

Volumn 68, Issue , 2013, Pages 180-189

  Sun, Shupeng ^a   Cao, Dengqing ^a   Han, Qingkai ^b  

^a HARBIN INSTITUTE OF TECHNOLOGY   (China)

^b DALIAN UNIVERSITY OF TECHNOLOGY   (China)

Author keywords

Arbitrary edge; Orthogonal polynomial; Rayleigh Ritz method; Rotating cylindrical shell

Indexed keywords

ARBITRARY EDGE; CYLINDRICAL SHELL; GENERAL BOUNDARY CONDITIONS; HOMOGENEOUS BOUNDARY CONDITION; ORTHOGONAL POLYNOMIAL; ORTHOGONAL POLYNOMIAL SERIES; RAYLEIGH-RITZ METHODS; SANDERS' SHELL THEORIES;

BOUNDARY CONDITIONS; CENTRIFUGATION; ORTHOGONAL FUNCTIONS; SHELLS (STRUCTURES); VARIATIONAL TECHNIQUES;

CYLINDERS (SHAPES);

EID: 84875225307     PISSN: 00207403     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ijmecsci.2013.01.013     Document Type: Article

References (38)

1. A.W. Leissa Vibration of shells (NASA SP-288) 1973 US Government Printing Office Washington, DC
2. H. Li, K.Y. Lam, and T.Y. Ng Rotating shell dynamics 2005 Elsevier Science
3. L. Zhang, Y. Xiang, and G.W. Wei Local adaptive differential quadrature for free vibration analysis of cylindrical shells with various boundary conditions Int J Mech Sci 48 2006 1126 1138
4. Ö. Civalek Linear vibration analysis of isotropic conical shells by discrete singular convolution (DSC) Struct Eng Mech 25 2007 127 130
5. C. Shu An efficient approach for free vibration analysis of conical shells Int J Mech Sci 38 1996 935 949
6. G.H. Bryan On the beats in the vibration of a revolving cylinder on bell Proc Cambridge Philos Soc 7 1890 101 111
7. R.A. DiTaranto, and M. Lessen Coriolis acceleration effect on the vibration of a rotating thin-walled circular cylinder ASME J Appl Mech 31 1964 700 701
8. A.V. Srinivasan, and G.F. Lauterbach Travelling waves in rotating cylindrical shells J Eng Ind 93 1971 1229 1232
9. A. Zohar, and J. Aboudi The free vibrations of a thin circular finite rotating cylinder Int J Mech Sci 15 1973 269 278
10. T. Saito, and M. Endo Vibration of finite length, rotating cylindrical shells J Sound Vib 107 1986 17 28
11. M. Endo, K. Hatamura, M. Sakata, and O. Taniguchi Flexural vibration of a thin rotating ring J Sound Vib 92 1984 261 272
12. J. Padovan Natural frequencies of rotating prestressed cylinders J Sound Vib 31 1973 469 482
13. P. Malekzadeh, and Y. Heydarpour Free vibration analysis of rotating functionally graded cylindrical shells in thermal environment Compos Struct 94 2012 2971 2981
14. S.C. Huang, and B.S. Hsu Resonant phenomena of a rotating cylindrical shell subjected to a harmonic moving load J Sound Vib 136 1990 215 228
15. Y.Q. Wang, X.H. Guo, H.H. Chang, and H.Y. Li Nonlinear dynamic response of rotating circular cylindrical shells with precession of vibrating shape - Part I: numerical solution Int J Mech Sci 52 2010 1217 1224
16. Y.Q. Wang, X.H. Guo, H.H. Chang, and H.Y. Li Nonlinear dynamic response of rotating circular cylindrical shells with precession of vibrating shape - Part II: approximate analytical solution Int J Mech Sci 52 2010 1208 1216
17. Y.Q. Liu, and F.L. Chu Nonlinear vibrations of rotating thin circular cylindrical shell Nonlinear Dyn 67 2012 1467 1479
18. T.Y. Ng, and K.Y. Lam Vibration and critical speed of a rotating cylindrical shell subjected to axial loading Appl Acoust 56 1999 273 282
19. L. Hua, and K.Y. Lam Frequency characteristics of a thin rotating cylindrical shell using the generalized differential quadrature method Int J Mech Sci 40 1998 443 459
20. Y. Chen, H.B. Zhao, Z.P. Shen, I. Grieger, and B.-H. Kröplin Vibrations of high speed rotating shells with calculations for cylindrical shells J Sound Vib 160 1993 137 160
21. D. Guo, Z.C. Zheng, and F.L. Chu Vibration analysis of spinning cylindrical shells by finite element method Int J Solids Struct 39 2002 725 739
22. K.M. Liew, T.Y. Ng, X. Zhao, and J.N. Reddy Harmonic reproducing kernel particle method for free vibration analysis of rotating cylindrical shells Comput Methods Appl Mech Eng 191 2002 4141 4157
23. Ö. Civalek, and M. Gürses Free vibration analysis of rotating cylindrical shells using discrete singular convolution technique Int J Pressure Vessels Piping 86 2009 677 683
24. Ö. Civalek A parametric study of the free vibration analysis of rotating laminated cylindrical shells using the method of discrete singular convolution Thin-Walled Struct 45 2007 692 698
25. S.P. Sun, S.M. Chu, and D.Q. Cao Vibration characteristics of thin rotating cylindrical shells with various boundary conditions J Sound Vib 331 2012 4170 4186
26. O. Rand, and Y. Stavsky Free vibrations of spinning composite cylindrical shells Int J Solids Struct 28 1991 831 843
27. K.Y. Lam, and C.T. Loy On vibrations of thin rotating laminated composite cylindrical shells Compos Eng 4 1994 1153 1167
28. K.Y. Lam, and C.T. Loy Free vibrations of a rotating multi-layered cylindrical shell Int J Solids Struct 32 1995 647 663
29. D.K. Chun, and C.W. Bert Critical speed analysis of laminated composite, hollow drive shafts Compos Eng 3 1993 633 643
30. K.Y. Lam, and C.T. Loy Analysis of rotating laminated cylindrical shells by different thin shell theories J Sound Vib 186 1995 23 35
31. K.Y. Lam, and C.T. Loy Influence of boundary conditions for a thin laminated rotating cylindrical shell Compos Struct 41 1998 215 228
32. A.W. Leissa, J.K. Lee, and A.J. Wang Vibrations of cantilevered shallow cylindrical shells of rectangular planform J Sound Vib 78 1981 311 328
33. R.B. Bhat Natural frequencies of rectangular plates using characteristic orthogonal polynomials in Rayleigh-Ritz method J Sound Vib 102 1985 493 499
34. J. So, and A.W. Leissa Free vibrations of thick hollow circular cylinders from three-dimensional analysis J Vib Acoust 119 1997 89 95
35. D. Zhou, Y.K. Cheung, S.H. Lo, and F.T.K. Au 3D vibration analysis of solid and hollow circular cylinders via Chebyshev-Ritz method Comput Methods Appl Mech Eng 192 2003 1575 1589
36. S. Bashmal, R. Bhat, and S. Rakheja In-plane free vibration of circular annular disks J Sound Vib 322 2009 216 226
37. A. Messina, and K.P. Soldatos Ritz-type dynamic analysis of cross-ply laminated circular cylinders subjected to different boundary conditions J Sound Vib 227 1999 749 768
38. H. Chung Free vibration analysis of circular cylindrical shells J Sound Vib 74 1981 331 350