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Buckling of heated temperature dependent FGM cylindrical shell surrounded by elastic medium

Treść / Zawartość
Identyfikatory
Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
Based on the Donnell theory of shells combined with the von-Karman type of geometrical nonlinearity, three coupled equilibrium equations for a through-the-thickness functionally graded cylindrical shell embedded in a two parameter Pasternak elastic foundation are ob- tained. Equivalent properties of the shell are obtained based on the Voigt rule of mixture in terms of a power law volume fraction for the constituents. Properties of the constituents are considered to be temperature dependent. The temperature profile through the shell thick- ness is obtained by means of the central finite difference method. Linear prebuckling analysis is performed to obtain the prebuckling forces of the cylindrical shell. Stability equations are derived based on the well-known adjacent equilibrium criterion. Three coupled partial dif- ferential stability equations are solved with the aid of a hybrid Fourier-GDQ method. After validating the numerical results, some parametric studies are conducted to investigate the influence of various parameters, especially foundation interaction. It is shown that elastic foundation enhances the critical buckling temperature difference of the shell and violates the buckled pattern.
Rocznik
Strony
869--881
Opis fizyczny
Bibliogr. 22 poz., rys., tab.
Twórcy
  • Department of Engineering, Firoozkooh Branch, Islamic Azad University, Firoozkooh, Iran
autor
  • Research Institute of Petroleum Industry (RIPI), West Blvd. Azadi Sport Complex, Tehran, Iran
autor
  • Mechanical Engineering Department, Amirkabir University of Technology, Hafez Avenue, Tehran, Iran
Bibliografia
  • 1. Bagherizadeh E., Kiani Y., Eslami M.R., 2012, Thermal buckling of functionally graded material cylindrical shells on elastic foundation, AIAA Journal, 50, 2, 500-503
  • 2. Bellman R.E., Kashef B.G., Casti J., 1972, Differential quadrature: a technique for the rapid solution of nonlinear partial differential equations, Journal of Computational Physics, 10, 1, 40-52
  • 3. Hetnarski R.B., Eslami M.R., 2009, Thermal Stresses – Advanced Theory and Applications, Springer, Berlin
  • 4. Kadoli R., Ganesan N., 2006, Buckling and free vibration analysis of functionally graded cylindrical shells subjected to a temperature-specified boundary conditions, Journal of Sound and Vibration, 289, 3, 450-480
  • 5. Kiani Y., Eslami M.R., 2013a, An exact solution for thermal buckling of annular plate on an elastic medium, Composites Part B, 45, 1, 101-110
  • 6. Kiani Y., Eslami M.R., 2013b, Instability of heated circular FGM plates on a partial Winkler--type foundation, Acta Mechanica, 224, 5, 1045-1060
  • 7. Mirzavand B., Eslami M.R., 2007, Thermal buckling of simply supported piezoelectric FGM cylindrical shells, Journal of Thermal Stresses, 30, 10, 1117-1135
  • 8. Quan J.R., Chang C.T., 1989, New insights in solving distributed system equations by the quadrature methods, Computers in Chemical Engineering, 3, 9, 1017-1024
  • 9. Reddy J.N., 2003, Mechanics of Laminated Composite Plates and Shells, Theory and Application, CRC Press, Boca Raton
  • 10. Shahsiah R., Eslami M.R., 2003, Thermal buckling of functionally graded cylindrical shell, Journal of Thermal Stresses, 26, 3, 277-294
  • 11. Shariyat M., 2008a, Dynamic buckling of suddenly loaded imperfect hybrid FGM cylindrical shells with temperature-dependent material properties under thermo-electro-mechanical Loads, International Journal of Mechanical Sciences, 50, 12, 1561-1571
  • 12. Shariyat M., 2008b, Dynamic thermal buckling of suddenly heated temperature-dependent FGM cylindrical shells, under combined axial compression and external pressure, International Journal of Solids and Structures, 45, 9, 2598-2612
  • 13. Shen H.S., 2004, Thermal postbucking behaviour of functionally graded cylindrical shells with temperature-dependent properties, International Journal of Solids and Structures, 41, 7, 1961-1974
  • 14. Shen H.S., 2007, Thermal postbuckling of shear deformable FGM cylindrical shells with temperature-dependent properties, Mechanics of Advanced Materials and Structures, 14, 6, 439-452
  • 15. Shen H.S., 2013, Thermal postbuckling of shear deformable FGM cylindrical shells surrounded by an elastic medium, Journal of Engineering Mechanics, 139, 8, 979-991
  • 16. Sheng G.G., Wang X., 2008, Thermal vibration, buckling and dynamic stability of functionally graded cylindrical shells embedded in an elastic medium, Journal of Reinforced Plastics and Composites, 27, 2, 117-134
  • 17. Shu C., 2000, Differential Quadrature and its Application in Engineering, Springer Verlag, London
  • 18. Sofiyev A.H., 2007, Thermo-elastic stability of functionally graded truncated conical shells, Composite Structures, 77, 1, 56-65
  • 19. Sofiyev A.H., 2011, Thermal buckling of FGM shells resting on a two-parameter elastic foundation, Thin-Walled Structure, 49, 10, 1304-1311
  • 20. Sun J., Xu X., Lim C.W., 2013, Accurate symplectic space solutions for thermal buckling of functionally graded cylindrical shells, Composites Part B: Engineering, 55, 1, 208-214
  • 21. Wu L., Jiang Z., Liu J., 2005, Thermoelastic stability of functionally graded cylindrical shells, Composite Structures, 70, 1, 60-68
  • 22. Wu T.Y., Liu G.R., 1999, A differentialq quadrature as a numerical method to solve differential equations, Computational Mechanics, 24, 3, 197-205
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-748e75fa-874e-40d0-b479-d973d5d3eedc
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