Third Order Formulation for Vibrating Non-Homogeneous Cylindrical Shells in Elastic Medium

Subject Areas : Engineering

M Gheisari ¹ , H Molatefi ² , S.S Ahmadi ³

1 - Faculty of Engineering, Khomein Branch, Islamic Azad University
2 - Railway Engineering School, Iran University of Science and Technology, Narmak
3 - Department of Mechanical Engineering, Iran University of Science and Technology, Arak Branch

Received: 2011-10-28 Accepted : 2011-12-08 Published : 2011-12-30

Keywords:

References:

[1] Paliwal D.N., Bhalla V., 1993, Large deflection analysis of cylindrical shells on a pasternak foundation, International Journal of Pressure Vessels and Piping 53(2): 261-271.

[2] Ng T.Y., Lam K.Y., 1999, Effects of elastic foundation on the dynamic stability of cylindrical shells, Structural Engineering and Mechanics 8(2):193-205.

[3] Hong T., Teng J.G., Luo Y.F., 1999, Axisymmetric shells and plates on tensionless elastic foundations, International Journal of Solids and Structures 36(34): 5277-5300.

[4] Sheng 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: 117-134.

[5] Shen, H.-Sh., 2009, Postbuckling of shear deformable fgm cylindrical shells surrounded by an elastic medium, International Journal of Mechanical Sciences, 51, pp. 372-383.

[6] Shen H.-Sh., Yang J., Kitipornchai S., 2010, Postbuckling of internal pressure loaded FGM cylindrical shells surrounded by an elastic medium, European Journal of Mechanics A/Solids 29: 448-460.

[7] Sofiyev A.H., Avcar M., Ozyigit P., Adigozel S., 2009,The Free Vibration of non-homogeneous truncated conical shells on a winkler foundation, International Journal of Engineering and Applied Sciences 1(1):34-41.

[8] Reddy J.N., Chin C.D., 1998, Thermomechanical analysis of functionally graded cylinders and plates, Journal of Thermal Stresses 21: 593-629.

[9] Lee S.J., Reddy J.N., 2004, Vibration suppression of laminated shell structures investigated using higher order shear deformation theory, Smart Materials and Structures 13: 1176-1194.

[10] 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.

[11] Jenabi J., Khazaeinejad P., Najafizadeh M.M., 2011, Vibration characteristics of three-layer cylindrical shells with functionally graded middle layer on elastic foundation, National Conference on New Technologies in Mechanical Engineering, February 23-24, Islamic Azad University-Shiraz Branch, Shiraz, Iran.