Vibrations of functionally graded cylindrical shells based on elastic foundations

Acta Mechanica

Volumn 211, Issue 3-4, 2010, Pages 293-307

  Shah, Abdul Ghafar ^a   Mahmood, Tahir ^a   Naeem, Muhammad N ^b   Iqbal, Zafar ^c   Arshad, Shahid H ^c  

^a THE ISLAMIA UNIVERSITY OF BAHAWALPUR   (Pakistan)

^b UNIVERSITY OF FAISALABAD   (Pakistan)

^c UNIVERSITY OF SARGODHA   (Pakistan)

Author keywords

[No Author keywords available]

Indexed keywords

CYLINDRICAL SHELL; DYNAMICAL EQUATION; EIGENVALUES; ELASTIC FOUNDATION; FUNCTIONALLY GRADED; PASTERNAK FOUNDATION; WINKLER;

EIGENVALUES AND EIGENFUNCTIONS; WAVE EQUATIONS;

SHELLS (STRUCTURES);

EID: 77952006228     PISSN: 00015970     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00707-009-0225-9     Document Type: Article

References (14)

1. Yamanouchi, M., Koizumi, M., Hirai, T., Shiota, I. (eds.): Proceedings of the First International Symposium of Functionally Gradient Materials, Japan (1990)
2. M. Koizumi 1993 The concept of FGM ceramic transactions Funct. Gradient Mater. 34 3 10
3. Miyamoto Y., Kaysser W.A., Rabin B.H., Kawasaki A., Ford R.G.: Functionally Graded Materials: Design, Processing and Applications. Kluwer, London (1999)
4. C.T. Loy K.Y. Lam J.N. Reddy 1999 Vibration of functionally graded cylindrical shells Int. J. Mech. Sci. 41 309 324 0968.74033 10.1016/S0020- 7403(98)00054-X
5. S.C. Pradhan C.T. Loy K.Y. Lam J.N. Reddy 2000 Vibration characteristics of functionally graded cylindrical shells under various boundary conditions Appl. Acoust. 61 111 129 10.1016/S0003-682X(99)00063-8
6. M.M. Najafizadeh M.R. Isvandzibaei 2007 Vibration of functionally graded cylindrical shells based on higher order shear deformation plate theory with ring support Acta Mech. 191 75 91 1140.74459 10.1007/s00707-006-0438-0 (Pubitemid 46800564)
7. Arshad, S.H., Naeem, M.N., Sultana, N.: Frequency analysis of functionally graded material cylindrical shells with various volume faction laws. J. Mech. Eng. Sci. Proc. Mech. Eng. 221(Part C), 1483-1495 (2007)
8. C.T. Loy K.Y. Lam C. Shu 1997 Analysis of cylindrical shells using generalised differential quadrature Shock Vib. 4 193 198 (Pubitemid 127618687)
9. X.M. Zhang G.R. Liu K.Y. Lam 2001 Vibration analysis of cylindrical shells using the wave propagation approach J. Sound Vib. 239 397 401 10.1006/jsvi.2000.3139 (Pubitemid 32377070)
10. X.M. Zhang G.R. Liu K.Y. Lam 2001 Coupled vibration analysis of fluid-filled cylindrical shells using the wave propagation approach Appl. Acoust. 62 229 243 10.1016/S0003-682X(00)00045-1 (Pubitemid 32035150)
11. D.N. Paliwal R.K. Pandey T. Nath 1996 Free vibrations of circular cylindrical shell on Winkler and Pasternak foundations J. Press. Vessel Pip. 69 79 89 10.1016/0308-0161(95)00010-0 (Pubitemid 126393756)
12. D.N. Paliwal R.K. Pandey 1998 The free vibration of a cylindrical shell on an elastic foundation J. Vib. Acoust. 120 63 712 10.1115/1.2893828
13. A.E.H. Love 1888 On the small free vibrations and deformations of a thin elastic shell Philos. Trans. R. Soc. Lond. A 179 491 549 10.1098/rsta.1888.0016
14. M.N. Naeem C.B. Sharma 2000 Prediction of natural frequencies for thin circular cylindrical shells Proc. Inst. Mech Eng. 214 Part C 1 15