First-Order Formulation for Functionally Graded Stiffened Cylindrical Shells Under Axial Compression
محورهای موضوعی : Engineering
1 - Department of Mechanical Engineering, Islamic Azad University, Arak Branch
کلید واژه: Functionally graded material, Stiffened cylindrical shell, First-order theory, Axial compression,
چکیده مقاله :
The buckling analysis of stiffened cylindrical shells by rings and stringers made of functionally graded materials subjected to axial compression loading is presented. It is assumed that the material properties vary as a power form of the thickness coordinate variable. The fundamental relations, the equilibrium and stability equations are derived using the first order shear deformation theory. Resulting equations are employed to obtain the critical buckling loads. The effects of the material properties and geometry of shell on the critical buckling loads are examined. Excellent agreement with the results in the literature indicates the correctness of the proposed closed form solution.
[1] Ng T.Y., Lam Y.K., Liew K.M., Reddy J.N., 2001, Dynamic stability analysis of functionally graded cylindrical shells under periodic axial loading, International Journal of Solids and Structures 38: 1295-1300.
[2] Yaffe R., Abramovich H., 2003, Dynamic buckling of cylindrical stringer stiffened shells, Computers and Structures 81:1031-1039.
[3] Rikards R., Chate A., Ozolinsh O., 2001, Analysis of buckling and vibrations of composite stiffened shells and plates, Composite Structures 51: 361-370.
[4] Narimani R., Karami Khorramabadi M., Khazaeinejad P., 2007, Mechanical buckling of functionally graded cylindrical shells based on the first order shear deformation theory, in: ASME Pressure Vessels and Piping Division Conference, San Antonio, Texas, USA.
[5] Brush D.O., Almorth B.O., 1975, Buckling of Bars, Plates and Shells, McGraw-Hill, New York.
[6] Najafizadeh M.M., Hasani A., Khazaeinejad P., 2009, Mechanical stability of functionally graded stiffened cylindrical shells, Applied Mathematical Modelling 33: 1151-1157.
