The Buckling of Non-Homogeneous Truncated Conical Shells under a Lateral Pressure and Resting on a Winkler Foundation

Subject Areas : Engineering

A.H Sofiyev ¹ , A Valiyev ² , P Ozyigit ³

1 - Department of Civil Engineering, Suleyman Demirel University, Isparta 32260, Turkey
2 - Chair of Mathematics and General Technical Subjects of Odlar Yurdu University, Baku, Azerbaijan
3 - Department of Civil Engineering, Suleyman Demirel University, Isparta 32260, Turkey

Received: 2009-02-12 Accepted : 2009-04-23 Published : 2009-04-30

Keywords:

References:

[1] Pasternak P.L., 1954, On a New Method of Analysis of an Elastic Foundation by Means of Two Foundation Constants, Gosudarstvennoe Izdatelstvo Literaturi po Stroitelstvu i Arkhitekture, Moscow, USSR (in Russian).

[2] Kerr A.D., 1964, Elastic and visco-elastic foundation models, ASME Journal of Applied Mechanics 31: 491-498.

[3] Bajenov V.A., 1975, The Bending of the Cylindrical Shells in an Elastic Medium, Kiev, Visha Shkola (in Russian).

[4] Sun B., Huang Y., 1988, The exact solution for the general bending problems of conical shells on the elastic foundation, Applied Mathematics and Mechanics 9(5): 455-469.

[5] Eslami M.R., Ayatollahi M.R., 1993, Modal-analysis of shell of revolution on elastic-foundation, International Journal of Pressure Vessels and Piping 56(3):351-368.

[6] Paliwal D.N., Pandey R.K., Nath T., 1996, Free vibration of circular cylindrical shell on Winkler and Pasternak foundation, International Journal of Pressure Vessels and Piping 69: 79-89.

[7] Ng T.Y., Lam K.Y., 2000, Free vibrations analysis of rotating circular cylindrical shells on an elastic foundation, Journal of Vibration and Acoustics 122: 85-89.

[8] Tj H.G., Mikami T., Kanie S., Sato M., 2006, Free vibration characteristics of cylindrical shells partially buried in elastic foundations, Journal of Sound and Vibration 290: 785-793.

[9] Lomakin V.A., 1976,The Elasticity Theory of Non-homogeneous Materials, Nauka, Moscow (in Russian).

[10] Awrejcewicz J., Krysko V.A., Kutsemako A.N., 1999, Free vibrations of doubly curved in-plane non-homogeneous shells, Journal of Sound and Vibration 225(4): 701-722.

[11] Shen H.S., 2003, Post-buckling analysis of pressure loaded functionally graded cylindrical shells in thermal environments, Engineering Structures 25: 487-497.

[12] Goldfeld Y., 2007, Elastic buckling and imperfection sensitivity of generally stiffened conical shells, AIAA Journal 45(3): 721–729.

[13] Sofiyev A.H., Omurtag M., Schnack E., 2009, The vibration and stability of orthotropic conical shells with non-homogeneous material properties under a hydrostatic pressure, Journal of Sound and Vibration 319(3-5): 963-983.

[14] Najafizadeh M.M., Hasani A., Khazaeinejad P., 2009, Mechanical stability of functionally graded stiffened cylindrical shells, Applied Mathematical Modelling 33(2):1151-1157.

[15] Tomar J., Gupta D., Kumar V., 1986, Natural frequencies of a linearly tapered non-homogeneous isotropic elastic circular plate resting on an elastic foundation, Journal of Sound and Vibration 111: 1-8.

[16] Sofiyev A.H., 1987, The stability of non-homogeneous cylindrical shells under the effect of surroundings, Soviet Scientific and Technical Research Institute (VINITI), Moscow 3(189): 1-9 (in Russian).

[17] Sofiyev a.H., Keskin S.N., Sofiyev A.L.H., 2004, Effects of elastic foundation on the vibration of laminated non-homogeneous orthotropic circular cylindrical shells, Journal of Shock and Vibration 11: 89-101.

[18] 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.

[19] Singer j., 1962, The effect of axial constraint on the instability of thin conical shells under external pressure, ASME Journal of Applied Mechanics, 212-214.

[20] Agamirov V.L., 1990, Dynamic Problems of Nonlinear Shells Theory, Moscow, Nauka (in Russian).

[21] Tong L., 1996, effect of axial load on free vibration of orthotropic conical shells, Journal of Vibration and Acoustics 118: 164-168.

[22] Liew K.M., Ng T.Y., Zhao X., 2005, Free vibration analysis of conical shells via the element-free KP-Ritz method, Journal of Sound and Vibration 281: 627-645.