Vibration analysis of bi-layered FGM cylindrical shells

Archive of Applied Mechanics

Volumn 81, Issue 3, 2011, Pages 319-343

  Arshad, Shahid Hussain ^a   Naeem, Muhammad Nawaz ^b   Sultana, Nazra ^a   Shah, Abdul Ghafar ^c   Iqbal, Zafar ^a  

^a UNIVERSITY OF SARGODHA   (Pakistan)

^b GOVERNMENT COLLEGE UNIVERSITY   (Pakistan)

^c THE ISLAMIA UNIVERSITY OF BAHAWALPUR   (Pakistan)

Author keywords

Bi layered; Cylindrical shells; Functionally graded materials; Lagrangian functional; Love's thin shell theory; Natural frequencies; Rayleigh Ritz method; Strain and kenetic energy

Indexed keywords

BI-LAYERED; CYLINDRICAL SHELLS; FUNCTIONALLY GRADED; LAGRANGIAN; LOVE'S THIN SHELL THEORY; RAYLEIGH-RITZ METHODS;

CYLINDERS (SHAPES); EIGENVALUES AND EIGENFUNCTIONS; FUNCTIONALLY GRADED MATERIALS; LAGRANGE MULTIPLIERS; NATURAL FREQUENCIES; PLATES (STRUCTURAL COMPONENTS); VARIATIONAL TECHNIQUES; VIBRATION ANALYSIS;

SHELLS (STRUCTURES);

EID: 79954440848     PISSN: 09391533     EISSN: 14320681     Source Type: Journal    
DOI: 10.1007/s00419-010-0409-8     Document Type: Article

References (39)

1. R.N. Arnold G.B. Warburton 1949 Flexural vibrations of the walls of thin cylindrical shell having freely supported ends Proc. R. Soc. Lond. A 197 238 256 0041.53606 10.1098/rspa.1949.0061
2. R.N. Arnold G.B. Warburton 1953 The flexural vibrations of thin cylinders Proc. Inst. Mech. Eng. A 167 62 80 10.1243/PIME-PROC-1953-167-014-02
3. Leissa, A.W.: Vibration of shells. NASA SP-288, 1973; Reprinted by Acoustical Society of America, America Institute of Physics, 1993
4. Blevins R.D.: Formulas for Natural Frequency and Mode Shape. Van Nostrand Reinhold, New York (1979)
5. Reddy J.N.: Mechanics of Laminated Composite Plates and Shells, 2nd edn. CRC Press, New York (2004)
6. Soedel W.: Vibration of Shells and Plates, 3rd edn. Marcel Dekker Inc, New York (2004)
7. Markuŝ S.: The Mechanics of Vibrations of Cylindrical Shells. Elsevier, Amsterdam (1988)
8. G.B. Warburton 1965 Vibration of Thin cylindrical shell J. Mech. Eng. Sci. 7 399 407 10.1243/JMES-JOUR-1965-007-062-02
9. H. Chung 1981 Free vibration analysis of cylindrical shells J. Sound Vib. 74 3 331 350 0457.73042 10.1016/0022-460X(81)90303-5 (Pubitemid 11487826)
10. C.T. Loy K.M. Lam C. Shu 1997 Analysis of cylindrical shells using generalized differential quadrature J. Shock Vib. 4 3 193 198 (Pubitemid 127618687)
11. M.N. Naeem C.B. Sharma 2000 Prediction of natural frequencies for thin circular cylindrical shells Proc. Inst. Mech. Eng. 214 C 1313 1327
12. X.M. Zhang G.R. Liu K.Y. Lam 2001 Vibration analysis of thin cylindrical shells using wave propagation approach J. Sound Vib. 239 3 397 403 10.1006/jsvi.2000.3139 (Pubitemid 32377070)
13. L. Xuebin 2008 Study on free vibration analysis of circular cylindrical shells using wave propagation J. Sound Vib. 311 667 682 10.1016/j.jsv.2007.09. 023 (Pubitemid 351179761)
14. Yamanouchi, M.; Koizumi, M.; Hirai, T.; Shiota, I.: In: Proceedings of the First International Symposium of Functionally Gradient Materials, Japan (1990)
15. H. Yamaoka M. Yuki K. Tahara T. Irisawa R. Watanabe A. Kawasaki 1993 A fabrication of functionally graded material by slurry and sintering process Ceram. Trans. Functionally Graded Mater. 34 165 172
16. Ghosh, A.; Miyamoto, Y.; Reimanis, I.; Lannutti, J.J.: Functionally Graded Materials: Manufacture, Properties and Applications. American Ceramic Society, Ceramic Place, Westerville, Ohio (1997)
17. Suresh, S.; Mortensen, A.: Fundamentals of functionally graded materials: processing and thermo-mechanical behaviour of graded metals and metal-ceramic composites, London; IOM Communications (1998)
18. Miyamoto Y.; Kaysser W.A.; Rabin B.H.; Kawasaki A.; Ford R.G.: Functionally Graded Materials: Design, Processing and Applications. Kluwer Academic Publishers, London (1999)
19. K. Alok S. Priyadarshi K. Gupta 2007 Manufacturing multi-material articulated plastic products using in-mold assembly Int. J. Adv. Manuf. Technol. 32 350 365 10.1007/s00170-005-0343-z (Pubitemid 46327365)
20. S.H. Arshad M.N. Naeem N. Sultana 2007 Frequency analysis of functionally graded material cylindrical shells with various volume fraction laws J. Mech. Eng. Sci. 221 Part-C 1483 1495
21. A.G. Shah T. Mahmood M.N. Naeem 2009 Vibrations of FGM thin cylindrical shells with exponential volume fraction law Appl. Math. Mech. (Engl. Ed.) 30 5 607 615 1165.74326 10.1007/s10483-009-0507-x
22. 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
23. 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
24. Naeem, M.N.: Vibrational frequency analysis of non-rotating and rotating FGM circular cylindrical shell. Ph.D. thesis submitted to the UMIST, Manchester (2002)
25. 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)
26. Z. Iqbal M.N. Naeem N. Sultana 2009 Vibration characteristics of FGM cylindrical shells by using wave propagation approach Acta Mech. 208 237 248 1194.74137 10.1007/s00707-009-0141-z
27. A.K. Noor W.S. Burton 1990 Assessment of computational models for multi-layered composite shells Appl. Mech. Rev. 43 67 97
28. K.Y. Lam C.T. Loy 1995 Effect of boundary conditions on frequencies of a multilayered cylindrical shell J. Sound Vib. 188 3 363 384 10.1006/jsvi.1995. 0599
29. K.Y. Lam C.T. Loy 1995 Free vibration of a rotating multi-layered cylindrical shell Int. J. Solids Struct. 32 5 647 663 0866.73036 10.1016/0020-7683(94)00143-K
30. L. Hua 2000 Influence of boundary conditions on the free vibrations of rotating truncated circular multi-layered conical shells Composites 31 B 265 275
31. A. Agbossou C. Barthod Y. Teisseyre G. Gautier 2005 Interfacial stresses in vibration of multilayer composite materials: experimental and theoretical analysis Smart Mater. Struct. 14 1533 1540 10.1088/0964-1726/14/6/046 (Pubitemid 41720811)
32. S.P. Singh K. Gupta 1994 Damped free vibration of layered composite cylindrical shells J. Sound Vib. 172 2 191 209 1064.74585 10.1006/jsvi.1994.1169
33. A.H. Sofiyev A. Deniz I.H. Akeay E. Yusufoglu 2006 The vibration and stability of a three-layered conical shell containing FGM layer subject to axial compression load Acta Mech. 183 129 144 1158.74382 10.1007/s00707-006-0328-5 (Pubitemid 43838993)
34. K.M. Liewa J. Yangb Y.F. Wub 2006 Nonlinear vibration of a coating-FGM-substrate cylindrical panel subjected to a temperature gradient Comput. Methods Appl. Mech. Eng. 195 9-12 1007 1026 10.1016/j.cma.2005.04.001 (Pubitemid 41722563)
35. L. Shi-Rong R.C. Batra 2006 Buckling of axially compressed thin cylindrical shells with functionally graded middle layer Thin-Walled Struct. 44 1039 1047 10.1016/j.tws.2006.10.006
36. W.Q. Chen Z.G. Bian H.J. Ding 2004 Three-dimensional vibration analysis of fluid-filled orthotropic cylindrical shell Int. J. Mech. Sci. 46 159 171 1112.74389 10.1016/j.ijmecsci.2003.12.005
37. A.E.H. Love 1888 On the small free vibrations and deformations of a thin elastic shell Phil. Trans. R. Soc. Lond. Ser. A 179 491 549 10.1098/rsta.1888. 0016
38. Touloukian Y.S.: Thermophysical Properties of High Temperature Solid Materials. Macmillan, New York (1967)
39. A. Bhimaraddi 1984 A higher order theory for free vibration analysis of circular cylindrical shells Int. J. Solids Struct. 20 7 623 630 0543.73090 10.1016/0020-7683(84)90019-2 (Pubitemid 14668111)