DOI QR코드

DOI QR Code

Buckling of non-homogeneous orthotropic conical shells subjected to combined load

  • Sofiyev, A.H. (Department of Civil Engineering, Engineering Faculty, Suleyman Demirel University) ;
  • Kuruoglu, N. (Department of Engineering Mathematics, Faculty of Engineering and Natural Sciences, Bahcesehir University)
  • 투고 : 2014.07.22
  • 심사 : 2014.12.17
  • 발행 : 2015.07.25

초록

The buckling analysis is presented for non-homogeneous (NH) orthotropic truncated conical shells subjected to combined loading of axial compression and external pressure. The governing equations have been obtained for the non-homogeneous orthotropic truncated conical shell, the material properties of which vary continuously in the thickness direction. By applying Superposition and Galerkin methods to the governing equations, the expressions for critical loads (axial, lateral, hydrostatic and combined) of non-homogeneous orthotropic truncated conical shells with simply supported boundary conditions are obtained. The results are verified by comparing the obtained values with those in the existing literature. Finally, the effects of non-homogeneity, material orthotropy, cone semi-vertex angle and other geometrical parameters on the values of the critical combined load have been studied.

키워드

참고문헌

  1. Agamirov, V.L. (1990), Dynamic Problems of Nonlinear Shells Theory, Nauka, Moscow, Russia. [In Russian]
  2. Ajdari, M.A.B., Jalili, S., Jafari, M., Zamani, J. and Shariyat, M. (2012), "The analytical solution of the buckling of composite truncated conical shells under combined external pressure and axial compression", J. Mech. Sci. Tech., 26(9), 2783-2791. https://doi.org/10.1007/s12206-012-0727-6
  3. Awrejcewicz, J. and Krysko, V.A. (2008), "Theory of non-homogeneous shells", Und. Com. Sys., 15-40.
  4. Babich, D.V. and Khoroshun, L.P. (2001), "Stability and natural vibrations of shells with variable geometric and mechanical parameters", Int. Appl. Mech., 37(7), 837-869. https://doi.org/10.1023/A:1012503024244
  5. Baruch, M., Harari, O. and Singer, J. (1967), "Influence of in-plane boundary conditions on the stability of conical shells under hydrostatic pressure", Isr. J. Tech., 5(1), 12-24.
  6. Blachut, J. (2011), "On elastic-plastic buckling of cones", Thin-Wall. Struct., 49(1), 45-52. https://doi.org/10.1016/j.tws.2010.08.005
  7. Blachut, J. (2012), "Interactive plastic buckling of cones subjected to axial compression and external pressure", Ocean. Eng., 48, 10-16. https://doi.org/10.1016/j.oceaneng.2012.03.018
  8. Grigorenko, Y.M. and Grigorenko, A.Y. (2013), "Static and dynamic problems for anisotropic inhomogeneous shells with variable parameters and their numerical solution (review)", Int. Appl. Mech., 49(2), 123-193. https://doi.org/10.1007/s10778-013-0558-x
  9. Ifayefunmi, O. and Blachut, J. (2013), "Instabilities in imperfect thick cones subjected to axial compression and external pressure", Mar. Struct., 33, 297-307. https://doi.org/10.1016/j.marstruc.2013.06.004
  10. Karpov, N.I. and Karpova, O.A. (1981), "Stability of conical shell under combined load", Strength. Mater., 13(11), 1359-1364. https://doi.org/10.1007/BF00772386
  11. Khazaeinejad, P., Najafizadeh, M.M., Jenabi, J. and Isvandzibaei, M.R. (2010), "On the buckling of functionally graded cylindrical shells under combined external pressure and axial compression", J. Pres. Ves. Tech., 132(6), 064501. https://doi.org/10.1115/1.4001659
  12. Kim, J.H. and Paulino, G.H. (2002), "Isoparametric graded finite elements for non-homogeneous isotropic and orthotropic materials", J. Appl. Mech., 69(4), 502-513. https://doi.org/10.1115/1.1467094
  13. Lal, R. and Kumar, Y. (2012), "Characteristic orthogonal polynomials in the study of transverse vibrations of nonhomogeneous rectangular orthotropic plates of bilinearly varying thickness", Meccanica, 47(1), 175-193. https://doi.org/10.1007/s11012-011-9430-4
  14. Mohammadzadeh, R., Najafizadeh, M.M. and Nejati, M. (2013), "Buckling of 2D-FG cylindrical shells under combined external pressure and axial compression", Adv. Appl. Math. Mech., 5(3), 391-406. https://doi.org/10.4208/aamm.2012.m39
  15. Naderi, A.A., Rahimi, G.H. and Arefi, M. (2014), "Influence of fiber paths on buckling load of tailored conical shells", Steel Compos. Struct., Int. J., 16(4), 375-387. https://doi.org/10.12989/scs.2014.16.4.375
  16. Ootao, Y. and Tanigawa, Y. (2007), "Three-dimensional solution for transient thermal stresses of an orthotropic functionally graded rectangular plate", Compos. Struct., 80(1), 10-20. https://doi.org/10.1016/j.compstruct.2006.02.028
  17. Reddy, J.N. (2004), Mechanics of Laminated Composite Plates and Shells, Theory and Analysis, (Second Ed.), CRC Press, New York, NY, USA.
  18. Sachenkov, A.V. (1964), On the Stability of Conical Shell Under Combined Load. Theory of Plates and Shells, Kazan State University, Kazan, Russia. [In Russian]
  19. Shadmehri, F., Hoa, S.V. and Hojjati, M. (2012), "Buckling of conical composite shells", Compos. Struct., 94(2), 787-792. https://doi.org/10.1016/j.compstruct.2011.09.016
  20. Shen, H.S. (2001), "Postbuckling of shear deformable cross-ply laminated cylindrical shells under combined external pressure and axial compression", Int. J. Mech. Sci., 43(11), 2493-2523. https://doi.org/10.1016/S0020-7403(01)00058-3
  21. Sofiyev, A.H. (2010), "The buckling of FGM truncated conical shells subjected to combined axial tension and hydrostatic pressure", Compos. Struct., 92(2), 488-498. https://doi.org/10.1016/j.compstruct.2009.08.033
  22. Sofiyev, A.H. (2014), "On the buckling of composite conical shells resting on the Winkler-Pasternak elastic foundations under combined axial compression and external pressure", Compos. Struct., 113, 208-215. https://doi.org/10.1016/j.compstruct.2014.03.023
  23. Sofiyev, A.H., Omurtag, M.H. and Schnack, E. (2009), "The vibration and stability of orthotropic conical shells with non-homogeneous material properties under a hydrostatic pressure", J. Sound Vib., 319(3-5), 963-983. https://doi.org/10.1016/j.jsv.2008.06.033
  24. Sofiyev, A.H., Alizada, A.N., Akin, O., Valiyev, A., Avcar, M. and Adiguzel, S. (2012), "On the stability of FGM shells subjected to combined loads with different edge conditions and resting on elastic foundations", Acta Mech., 223(1), 189-204. https://doi.org/10.1007/s00707-011-0548-1
  25. Struk, R. (1984), "Non-linear stability problem of an open conical sandwich shell under external pressure and compression", Int. J. Non. Lin. Mech., 19(3), 217-233. https://doi.org/10.1016/0020-7462(84)90009-X
  26. Tani, J. (1985), "Buckling of truncated conical shells under combined axial load, pressure, and heating", J. Appl. Mech., 52(2), 402-408. https://doi.org/10.1115/1.3169061
  27. Van-Dung, D, Hoa, L.K., Nga, N.T. and Anh, L.T.N. (2013), "Instability of eccentrically stiffened functionally graded truncated conical shells under mechanical loads", Compos. Struct., 106, 104-113. https://doi.org/10.1016/j.compstruct.2013.05.050
  28. Weingarten, V.I. and Seide, P. (1965), "Elastic stability of thin-walled cylindrical and conical shells under combined external pressure and axial compression", AIAA Journal, 3(5), 913-920. https://doi.org/10.2514/3.3015
  29. Wu, C.P., Chen, Y.C. and Peng, S.T. (2013), "Buckling analysis of functionally graded material circular hollow cylinders under combined axial compression and external pressure", Thin-Wall. Struct., 69, 54-66. https://doi.org/10.1016/j.tws.2013.04.002

피인용 문헌

  1. Free vibration analysis of composite cylindrical shells with non-uniform thickness walls vol.20, pp.5, 2016, https://doi.org/10.12989/scs.2016.20.5.1087
  2. Thermal stability of functionally graded sandwich plates using a simple shear deformation theory vol.58, pp.3, 2016, https://doi.org/10.12989/sem.2016.58.3.397
  3. Effect of porosity on vibrational characteristics of non-homogeneous plates using hyperbolic shear deformation theory vol.22, pp.4, 2016, https://doi.org/10.12989/was.2016.22.4.429
  4. A novel four variable refined plate theory for bending, buckling, and vibration of functionally graded plates vol.22, pp.3, 2016, https://doi.org/10.12989/scs.2016.22.3.473
  5. Collapse of steel cantilever roof of tribune induced by snow loads vol.23, pp.3, 2015, https://doi.org/10.12989/scs.2017.23.3.273
  6. Ant colony optimization for dynamic stability of laminated composite plates vol.25, pp.1, 2015, https://doi.org/10.12989/scs.2017.25.1.105
  7. A new plate model for vibration response of advanced composite plates in thermal environment vol.67, pp.4, 2015, https://doi.org/10.12989/sem.2018.67.4.369
  8. Effect of non-uniform temperature distributions on nonlocal vibration and buckling of inhomogeneous size-dependent beams vol.6, pp.4, 2015, https://doi.org/10.12989/anr.2018.6.4.377
  9. Nonlinear buckling and post-buckling of functionally graded CNTs reinforced composite truncated conical shells subjected to axial load vol.31, pp.3, 2019, https://doi.org/10.12989/scs.2019.31.3.243