On Stability of Stiffened Cylindrical Shells with Varying Material Properties
The static stability analysis of stiffened functionally
graded cylindrical shells by isotropic rings and stringers subjected to
axial compression is presented in this paper. The Young's modulus of
the shell is taken to be function of the thickness coordinate. The
fundamental relations, the equilibrium and stability equations are
derived using the Sander's assumption. Resulting equations are
employed to obtain the closed-form solution for the critical axial
loads. The effects of material properties, geometric size and different
material coefficient on the critical axial loads are examined. The
analytical results are compared and validated using the finite element
model.
[1] H.S. Shen, T.Y. Chen, Buckling and postbuckling behaviour of
cylindrical shells under combined external pressure and axial
compression, Thin-Walled Struct. 12 (1991) 321-334.
[2] M. Barush, J. Singer, Effect of eccentricity of stiffeners on the general
instability of stiffened cylindrical shells under hydrostatic pressure, J.
Mech. Eng. Sci. 5 (1963) 23-27.
[3] H.S. Shen, P. Zhou, T.Y. Chen, Postbuckling analysis of stiffened
cylindrical shells under combined external pressure and axial
compression, Thin-Walled Struct. 15 (1993) 43-63.
[4] S. Sridharan, M. Zeggane, Stiffened plates and cylindrical shells under
interactive buckling, Finite Elem. Analy. Design, 38 (2001) 155-178.
[5] T. Zeng, L. Wu, Post-buckling analysis of stiffened braided cylindrical
shells under combined external pressure and axial compression, Comps.
Struc. 60 (2003) 455-466.
[6] R. Yaffe, H. Abramovich, Dynamic buckling of cylindrical stringer
stiffened shells, Compu. Struc. 81 (2003) 1031-1039.
[7] A. Spagnoli, Different buckling modes in axially stiffened conical shells,
Eng. Struct. 23 (2001) 957-965.
[8] S. Kidane, G. Li, J. Helms, S. Pang, E. Woldesenbet, Buckling load
analysis of grid stiffened composite cylinders, Compo. Part B: Eng. 34
(2003) 1-9.
[9] R. Rikards, A. Chate, O. Ozolinsh, Analysis of buckling and vibrations
of composite stiffened shells and plates, Comp. Struct. 51 (2001) 361-
370.
[10] T.Y. Ng, Y.K. Lam, K.M. Liew, J.N. Reddy, Dynamic stability analysis
of functionally graded cylindrical shells under periodic axial loading.
Int. J. Solids Struct. 38 (2001) 1295-1300.
[11] R. Narimani, M. Karami Khorramabadi, P. Khazaeinejad, Mechanical
buckling of functionally graded cylindrical shells based on the first order
shear deformation theory, ASME Pressure Vessels and Piping Division
Conference, 2007, San Antonio, Texas, USA.
[12] D.O. Brush, B.O. Almorth, Buckling of Bars, Plates and Shells, New
York, McGraw-Hill, 1975.
[1] H.S. Shen, T.Y. Chen, Buckling and postbuckling behaviour of
cylindrical shells under combined external pressure and axial
compression, Thin-Walled Struct. 12 (1991) 321-334.
[2] M. Barush, J. Singer, Effect of eccentricity of stiffeners on the general
instability of stiffened cylindrical shells under hydrostatic pressure, J.
Mech. Eng. Sci. 5 (1963) 23-27.
[3] H.S. Shen, P. Zhou, T.Y. Chen, Postbuckling analysis of stiffened
cylindrical shells under combined external pressure and axial
compression, Thin-Walled Struct. 15 (1993) 43-63.
[4] S. Sridharan, M. Zeggane, Stiffened plates and cylindrical shells under
interactive buckling, Finite Elem. Analy. Design, 38 (2001) 155-178.
[5] T. Zeng, L. Wu, Post-buckling analysis of stiffened braided cylindrical
shells under combined external pressure and axial compression, Comps.
Struc. 60 (2003) 455-466.
[6] R. Yaffe, H. Abramovich, Dynamic buckling of cylindrical stringer
stiffened shells, Compu. Struc. 81 (2003) 1031-1039.
[7] A. Spagnoli, Different buckling modes in axially stiffened conical shells,
Eng. Struct. 23 (2001) 957-965.
[8] S. Kidane, G. Li, J. Helms, S. Pang, E. Woldesenbet, Buckling load
analysis of grid stiffened composite cylinders, Compo. Part B: Eng. 34
(2003) 1-9.
[9] R. Rikards, A. Chate, O. Ozolinsh, Analysis of buckling and vibrations
of composite stiffened shells and plates, Comp. Struct. 51 (2001) 361-
370.
[10] T.Y. Ng, Y.K. Lam, K.M. Liew, J.N. Reddy, Dynamic stability analysis
of functionally graded cylindrical shells under periodic axial loading.
Int. J. Solids Struct. 38 (2001) 1295-1300.
[11] R. Narimani, M. Karami Khorramabadi, P. Khazaeinejad, Mechanical
buckling of functionally graded cylindrical shells based on the first order
shear deformation theory, ASME Pressure Vessels and Piping Division
Conference, 2007, San Antonio, Texas, USA.
[12] D.O. Brush, B.O. Almorth, Buckling of Bars, Plates and Shells, New
York, McGraw-Hill, 1975.
@article{"International Journal of Mechanical, Industrial and Aerospace Sciences:61417", author = "M. Karami Khorramabadi and P. Khazaeinejad", title = "On Stability of Stiffened Cylindrical Shells with Varying Material Properties", abstract = "The static stability analysis of stiffened functionally
graded cylindrical shells by isotropic rings and stringers subjected to
axial compression is presented in this paper. The Young's modulus of
the shell is taken to be function of the thickness coordinate. The
fundamental relations, the equilibrium and stability equations are
derived using the Sander's assumption. Resulting equations are
employed to obtain the closed-form solution for the critical axial
loads. The effects of material properties, geometric size and different
material coefficient on the critical axial loads are examined. The
analytical results are compared and validated using the finite element
model.", keywords = "Functionally graded material, Stability, Stiffened
cylindrical shell, Finite element analysis", volume = "3", number = "8", pages = "972-6", }