Non-linear analysis of dynamic stability for functionally graded cylindrical shells under periodic axial loading

Composite Structures

Volumn 83, Issue 2, 2008, Pages 201-211

  Darabi, M ^a   Darvizeh, M ^a   Darvizeh, A ^a  

^a UNIVERSITY OF GUILAN   (Iran)

Author keywords

Cylindrical shell; Dynamic stability; Functionally graded; Large deflection; Parametric resonance

Indexed keywords

AXIAL LOADS; DEFLECTION (STRUCTURES); DYNAMIC ANALYSIS; EQUATIONS OF MOTION; FUNCTIONALLY GRADED MATERIALS; GALERKIN METHODS; NONLINEAR ANALYSIS; VOLUME FRACTION;

AXIAL LOADING; CYLINDRICAL SHELL; PARAMETRIC RESONANCE;

SHELLS (STRUCTURES);

COMPOSITE; DYNAMICS; LENGTH; LOADING (TESTING); MATHEMATICAL ANALYSIS; TEMPERATURE EFFECT; THICKNESS; VIBRATION;

EID: 36749094544     PISSN: 02638223     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.compstruct.2007.04.014     Document Type: Article

References (31)

1. Koizumi M. FGM activities in Japan. Composites 28 1-2 (1997) 1-4
2. Miyamto Y. Application of FGM in Japan. In: Ghosh A et al. editors. Functionally graded materials: manufacture, properties and applications. Ceramic transactions, AM Ceram Soc, vol. 76; 1997. p. 171-89.
3. Suresh S., and Mortensen A. Functionally gradient metals and metal-ceramic composites, Part 2: thermo mechanical behavior. Int Mater Rev 42 (1997) 85-116
4. Pindera M.J., Arnold S.M., and Abodi J. Use of composites in functionally graded materials. Compos Eng 4 (1994) 1-145
5. Yamanouchi M, Koizumi M, Hirai T, Shiota I, In: Proceedings of the first international symposium on functionally gradient materials, Japan; 1990.
6. Koizumi M. Functionally gradient materials the concept of FGM. Ceram Trans 34 (1993) 3-10
7. Hiari T. Functional gradient materials in material science and technology. In: Brook R.J. (Ed). Processing of ceramics part 2 vol. 17B (1996), Vch Verlgsgesellschaft MBH, Weinheim, Germany 293-341
8. Fukui Y. Fundamentals of functionally graded materials (1998), Institute of Materials, London
9. Yamaoka H., Yuki M., Tahara K., Irisawa T., Watanabe R., and Kawasaki A. Fabrication of functionally gradient material by slurry stacking and sintering process. Ceram Trans Funct Gradient Mater (1993) 169-172
10. Makino A., Araki N., Kitajima H., and Ohashi K. Transient temperature response of functionally gradient material subjected to partial stepwise heating. Trans JSME Part B 60 (1994) 4200-4206
11. Obata Y., and Noda N. Steady thermal stresses in a hollow circular cylinder and a hollow sphere of a functionally gradient material. J Therm Stress 17 (1994) 471-487
12. Takezono S., Tao K., Inamura E., and Inoue M. Thermal stress and deformation in functionally graded material shells of revolution under thermal loading due to fluid. JSME Int Ser A: Mech Mater Eng 39 (1994) 573-581
13. Durodola JF, Adlington JE. Functionally graded material properties for disks and rotors. In: Proceeding of the 1st international conference on ceramic and metal matrix composites, San Sebastian, Spain; 1996.
14. Dao M., Gu P., Maeqal A., and Asaro R. A micro mechanical study of a residual stress in functionally graded materials. Acta Mater 45 (1997) 3265-3276
15. Weisenbek E., Pettermann H.E., and Suresh S. Elasto-plastic deformation of compositionally graded metal-ceramic composites. Acta Mater 45 (1997) 3401-3417
16. Bolotin V.V. The dynamic stability of elastic systems (1964), Holden-Day, San Francisco
17. Lam K.Y., and Ng T.Y. Dynamic stability of cylindrical shells subjected to conservative periodic axial loads using different shell theories. J Sound Vibrat 207 (1997) 497-520
18. Ng T.Y., Lam K.Y., and Reddy J.N. Dynamic stability of cross-ply laminated composite cylindrical shells. Int J Mech Sci 40 (1998) 805-823
19. Sofiyev A.H., and Schnack E. The stability of functionally graded cylindrical shells under linearly increasing dynamic torsional loading. Eng Struct 26 (2004) 1321-1331
20. Ng T.Y., Lam K.Y., Liew K.M., and Reddy J.N. Dynamic stability analysis of functionally graded cylindrical shells under periodic axial loading. Int J Solids Struct 38 (2001) 1295-1309
21. Yang X.M., and Shen Y.P. Dynamic instability of laminated piezoelectric shell. Int J Solids Struct 38 (2001) 2291-2303
22. Zhu J.Q., Chen C.Q., and Shen Y.P. Three dimensional analysis of the dynamic stability of piezoelectric circular cylindrical shells. Eur J Mech A, Solids 22 (2003) 401-411
23. Zhu J.Q., Chen C.Q., Shen Y.P., and Wang S.L. Dynamic stability of functionally graded piezoelectric circular cylindrical shells. J Mater Lett 59 (2005) 477-485
24. Lanhe W., Hongjun W., and Doabin W. Dynamic stability analysis of FGM plates by the moving least squares differential quadrature method. Compos Struct 77 (2007) 383-394
25. Bogdanovich A.E. Non-linear problems of the dynamic buckling of reinforced laminar cylindrical shells. J Soviet Appl Mech 22 8 (1986) 745-753
26. Dumir P.C., and Khatri K.N. Axisymmetric static and dynamic buckling of orthotropic shallow conical caps. J AIAA 53 11 (1984) 1762-1767
27. Cheng-ti Z., and Lie-dang W. Nonlinear theory of dynamic stability for laminated composite cylindrical shells. Appl Math Mech [English edition] 22 1 (2001) 53-62
28. Ganapathi M., Gupta S.S., and Patel B.P. Non-linear axisymmetric dynamic buckling of laminated angle-ply composite spherical caps. Compos Struct 59 (2003) 89-97
29. Ganapathi M. Dynamic stability characteristics of functionally graded materials shallow spherical shells. Compos Struct 79 (2007) 338-343
30. Touloukian Y.S. Thermophysical properties of high temperature solid materials (1967), Macmillan, New York
31. Timoshenko S.P., and Gere J.M. Theory of elasticity (1961), McGraw-Hill, New York