Prediction of dynamic behaviour of FGM shells under arbitrary boundary conditions

Composite Structures

Volumn 85, Issue 4, 2008, Pages 284-292

  Ansari, R ^a   Darvizeh, M ^a  

^a UNIVERSITY OF GUILAN   (Iran)

Author keywords

Arbitrary boundary conditions; Exact method; FGM shells; Vibration

Indexed keywords

BOUNDARY CONDITIONS; FOURIER SERIES; FUNCTIONALLY GRADED MATERIALS; SHEAR DEFORMATION; STRUCTURAL DYNAMICS; TEMPERATURE DISTRIBUTION; VIBRATIONS (MECHANICAL); VOLUME FRACTION;

EXACT METHOD; POWER LAW; ROTARY INERTIA; STOKE'S TRANSFORMATION;

SHELLS (STRUCTURES);

CERAMICS; COMPOSITE; DEFORMATION; DYNAMICS; FOURIER TRANSFORM ANALYSIS; METAL; SHEAR PROPERTY; VIBRATION;

EID: 44349108327     PISSN: 02638223     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.compstruct.2007.10.037     Document Type: Article

References (22)

1. Yamanouchi M, Koizumi M, Hirai T, Shiota I. In: Proceedings of the first international symposium on functionally gradient materials; 1990.
2. Koizumi M. The concept of FGM ceramic transactions. Funct Gradient Mater 34 (1993) 3-10
3. Miyamoto Y., Kaysser W.A., Rabin B.H., Kawasaki A., and Ford R.G. Functionally graded materials: design, processing and applications (1999), Kluwer Academic Publishers, London
4. Moya J.S. Layered ceramics. Adv Mater 7 (1995) 185-189
5. Leissa AW. Vibration of shells. NASA SP-288 US Govt Printing Office, 1973.
6. Vanderpool M.E.V., and Bert C.W. Vibration of materially monoclinic, thick-wall circular cylindrical shells. AIAA J 19 (1981) 634-641
7. Lan K.Y., and Loy C.T. Influence of boundary conditions and fiber orientation and the natural frequencies of thin orthotropic laminated cylindrical shells. Compos struct 31 (1995) 21-30
8. Sharma C.B., Darvizeh M., and Darvizeh A. Natural frequency response of vertical cantilever composite shells containing fluid. Eng Struct 20 8 (1998) 732-737
9. Sharma C.B., Darvizeh M., and Darvizeh A. Free vibration behaviour of helically wound cylindrical shells. Compos Struct 44 (1999) 55-62
10. Loy C.T., Lam K.Y., and Reddy J.N. Vibration of functionally graded cylindrical shells. Int J Mech Sci 41 (1999) 309-324
11. Pradhan S.C., Loy C.T., Lam K.Y., and Reddy J.N. Vibration characteristics of functionally graded cylindrical shells under various boundary conditions. Appl Acoust 61 (2000) 111-129
12. Naeem MN. Prediction of natural frequencies for functionally graded cylindrical shells. PHD thesis, UMIST, UK; 2004.
13. Patel B.P., Gupta S.S., Loknath M.S., and Kadu C.P. Free vibration analysis of functionally graded elliptical cylindrical shells using higher order theory. Compos Struct 69 (2005) 259-270
14. Toorani M.H., and Lakis A.A. General equations of anisotropic plates and shells including transverse shear deformations, rotary inertia and initial curvature effects. J Sounds Vib 237 4 (2000) 561-615
15. Chi S.H., and Chung Y.L. Mechanical behavior of functionally graded material plates under transverse load-Part I: Analysis. Int J Solids Struct 43 (2006) 3657-3674
16. Chi S.H., and Chung Y.L. Mechanical behavior of functionally graded material plates under transverse load- Part II: Numerical results. Int J Solids Struct 43 (2006) 3675-3691
17. Touloukian Y.S. Thermophysical properties of high temperature solid materials (1967), Macmillian, New York
18. Darvizeh M., Darvizeh A., Ansari R., and Sharma C.B. The effect of radius variation on buckling of fibrous composite structures subjected to different types of loading. Iranian J Sci Technol: Trans B 27 B3 (2003) 535-550
19. Darvizeh M., Haftchenari H., Darvizeh A., Ansari R., and Sharma C.B. The effect of boundary conditions on the dynamic stability of orthotropic cylinders using a modified exact analysis. J Compos Struct 74 (2006) 495-502
20. Khalili M.R., Malekzadeh K., and Mittal R.K. A new approach to static and dynamis analisis of composite plates with different boundary conditions. Compos Struct 69 (2005) 149-155
21. Sewall JL, Naumann EC. An experimental and analytical vibration study of thin cylindrical shells with and without longitudinal stiffeners. NASA TN D-4705; 1968.
22. Sharma C.B. Calculation of natural frequencies of fixed-free circular cylindrical shells. J Sounds Vib 35 1 (1974) 55-76