DOI QR코드

DOI QR Code

Elastic analysis of pressurized thick truncated conical shells made of functionally graded materials

  • Ghannad, M. (Mechanical Engineering Faculty, Shahrood University of Technology) ;
  • Nejad, M. Zamani (Mechanical Engineering Department, Yasouj University) ;
  • Rahimi, G.H. (Mechanical Engineering Department, Tarbiat Modares University) ;
  • Sabouri, H. (Mechanical Engineering Department, Tarbiat Modares University)
  • 투고 : 2011.12.21
  • 심사 : 2012.05.31
  • 발행 : 2012.07.10

초록

Based on the first-order shear deformation theory (FSDT), and the virtual work principle, an elastic analysis for axisymmetric clamped-clamped Pressurized thick truncated conical shells made of functionally graded materials have been performed. The governing equations are a system of nonhomogeneous ordinary differential equations with variable coefficients. Using the matched asymptotic method (MAM) of the perturbation theory, these equations could be converted into a system of algebraic equations with variable coefficients and two systems of differential equations with constant coefficients. For different FGM conical angles, displacements and stresses along the radius and length have been calculated and plotted.

키워드

참고문헌

  1. Asemi, K., Akhlaghi, M., Salehi, M. and Zad, S.K.H. (2010), "Analysis of functionally graded thick truncated cone with finite length under hydrostatic internal pressure", Arch. Appl. Mech., 81, 1063-1074.
  2. Asemi, K., Salehi, M. and Akhlaghi, M. (2010), "Dynamic analysis of a functionally graded thick truncated cone with finite length", Int. J. Mech. Mater. Des., 6, 367-378. https://doi.org/10.1007/s10999-010-9144-0
  3. Asemi, K., Salehi, M. and Akhlaghi, M. (2011), "Elastic solution of a two-dimensional functionally graded thick truncated cone with finite length under hydrostatic combined loads", Acta. Mech., 217, 119-134. https://doi.org/10.1007/s00707-010-0380-z
  4. Chaudhry, H.R., Bukiet, B. and Davis, A.M. (1996), "Stresses and strains in the left ventricular wall approximated as a thick conical shell using large deformation theory", J. Biol. Syst., 4, 353-372. https://doi.org/10.1142/S0218339096000247
  5. Eipakchi, H.R. (2010), "Third-order shear deformation theory for stress analysis of a thick conical shell under pressure", J. Mech. Mater. Struct., 5, 1-17. https://doi.org/10.2140/jomms.2010.5.1
  6. Eipakchi, H.R., Khadem, S.E. and Rahimi, G.H. (2008), "Axisymmetric stress analysis of a thick conical shell with varying thickness under nonuniform internal pressure", J. Eng. Mech., 134, 601-610. https://doi.org/10.1061/(ASCE)0733-9399(2008)134:8(601)
  7. Eipakchi, H.R., Rahimi, G.H. and Khadem, S.E. (2003), "Closed form solution for displacements of thick cylinders with varying thickness subjected to nonuniform internal pressure", Struct. Eng. Mech., 16, 731-748. https://doi.org/10.12989/sem.2003.16.6.731
  8. Ghannad, M., Nejad, M.Z. and Rahimi, G.H. (2009), "Elastic solution of axisymmetric thick truncated conical shells based on first-order shear deformation theory", Mechanika, 79, 13-20.
  9. Ghannad, M. and Nejad, M.Z. (2010), "Elastic analysis of pressurized thick hollow cylindrical shells with clamped-clamped ends", Mechanika, 85, 11-18.
  10. Ghannad, M., Rahimi, G.H. and Nejad, M.Z. (2012), "Determination of displacements and stresses in pressurized thick cylindrical shells with variable thickness using perturbation technique", Mechanika, 18, 14-21.
  11. Hausenbauer, G.F. and Lee, G.C. (1966), "Stresses in thick-walled conical shells", Nucl. Eng. Des., 3, 394-401. https://doi.org/10.1016/0029-5493(66)90130-0
  12. McDonald, C.K. and Chang, C.H. (1973), "A second order solution of the nonlinear equations of conical shells", Int. J. Nonlin. Mech., 8, 49-58. https://doi.org/10.1016/0020-7462(73)90014-0
  13. Mirsky, I. and Hermann, G. (1958), "Axially motions of thick cylindrical shells", J. Appl. Mech-T. ASME., 25, 97-102.
  14. Naghdi, P.M. and Cooper, R.M. (1956), "Propagation of elastic waves in cylindrical shells, including the effects of transverse shear and rotary inertia", J. Acoust. Soc. Am., 29, 56-63.
  15. Nayfeh, A.H. (1993), Introduction to Perturbation Techniques, John Wiley, New York.
  16. Nejad, M.Z., Rahimi, G.H. and Ghannad, M. (2009), "Set of field equations for thick shell of revolution made of functionally graded materials in curvilinear coordinate system", Mechanika, 77, 18-26.
  17. Ozturk, B. and Coskun, S.B. (2011), "The Homotopy Perturbation Method for free vibration analysis of beam on elastic foundation", Struct. Eng. Mech., 37, 415-425. https://doi.org/10.12989/sem.2011.37.4.415
  18. Pan, D., Chen, G. and Lou, M. (2011), "A modified modal perturbation method for vibration characteristics of non-prismatic Timoshenko beams", Struct. Eng. Mech., 40, 689-703. https://doi.org/10.12989/sem.2011.40.5.689
  19. Sundarasivaraoa, B.S.K. and Ganesan, N. (1991), "Deformation of varying thickness of conical shells subjected to axisymmetric loading with various end conditions", Eng. Fract. Mech., 39, 1003-1010. https://doi.org/10.1016/0013-7944(91)90106-B
  20. Takahashi, S., Suzuki, K. and Kosawada, T. (1986), "Vibrations of conical shells with variable thickness", B. JSME., 29, 4306-4311. https://doi.org/10.1299/jsme1958.29.4306
  21. Vlachoutsis, S. (1992), "Shear correction factors for plates and shells", Int. J. Numer. Method. Eng., 33, 1537-1552. https://doi.org/10.1002/nme.1620330712

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