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Buckling Analysis for a Ring-Stiffened FGM Cylindrical Shell Under Hydrostatic Pressure and Thermal Loads

  • H.-L. Dai (a1) (a2) (a3), L.-L. Qi (a1) and H.-Y. Zheng (a3)


This paper studies the buckling analysis for a ring-stiffened cylindrical shell consisted of functionally graded material (FGM) subjected to hydrostatic pressure and thermal loads. Material properties of the ring-stiffened FGM cylindrical shell are assumed to be temperature-dependent, and vary smoothly through the thickness direction of the structure according to a volume exponent. Based on the Donnell assumptions, buckling loads of the ring-stiffened FGM cylindrical shell are presented by utilizing the Galerkin method. Numerical results reveal that thermal loads, volume exponent and geometric parameters have significant effects on the buckling behavior of the ring-stiffened cylindrical shell.


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1.Kostyrko, V. V. and Krasovsky, V. L., “Investigation of Influence of Load Eccentricity to the Stability of Stringer Shells,” Dnepropetrovsk: DGU, Gidroaeromehanikai Teoriya Uprugosti, pp. 7581 (1988).
2.Kostyrko, V. V. and Krasovsky, V. L., “Pre-Buckling Deformation of Axially Compressed Longitudinally Reinforced Shells,” Theoretical Foundations of Civil Engineering, pp. 8796 (1995).
3.Hoppmann, W. H., “Some Characteristics of the Flexural Vibration of Orthogonally Stiffened Cylindrical Shells,” Journal of the Acoustical Society of America, 30, pp. 7783 (1958).
4.Kendrick, S., “The Buckling Under External Pressure of Circular Cylindrical Shells with Evenly Spaced Equal Strength Circular Ring Frames,” Part I. Naal Construction Research Establishment Report, p. 211 (1953).
5.Nash, W. A., “Buckling of Multiple-Bay Ring-Reinforced Cylindrical Shells Subject to Hydrostatic Pressure,” Journal of Applied Mechanics, 20, pp. 469–74 (1953).
6.Shen, H. S., “Postbuckling Analysis of Stiffened Laminated Cylindrical Shells Under Combined External Liquid Pressure and Axial Compression,” Engineering Structures, 8, pp. 738751 (1998).
7.Awrejcewicz, J. and Krysko, V. A., Nonclassical Thermoelastic Problems in Nonlinear Dynamics of Shells, Springer-Verlag, Berlin (2003).
8.Awrejcewicz, J., Andrianov, I. V. and Manevitch, L. I., Asymptotical Mechanics of Thin Walled Structures, Springer-Verlag, Berlin (2004).
9.Andrianov, I. V., Verbonol, V. M. and Awrejcewicz, J., “Buckling Analysis of Discretely Stringer-Stiffened Cylindrical Shells,” International Journal of Mechanical Sciences, 48, pp. 15051515 (2006).
10.Chang, L. K. and Card, M. F., “Thermal Buckling in Stiffened Cylindrical Shells,” Structural Dynamic and Materials Conference, 11, pp. 260272 (1970).
11.Ma, S. F. and Wilcox, M. W., “Thermal Buckling of Antisymmetric Angle-Ply Laminated Cylindrical Shells,” Composites Engineering, 1, pp. 183192 (1991).
12.Shen, H. S., “Thermal Postbuckling Analysis of Imperfect Stiffened Laminated Cylindrical Shells,” International Journal of Non-Linear Mechanics, 2, pp. 259275 (1997).
13.Shen, H. S., “Thermal Postbuckling Behavior of Functionally Graded Cylindrical Shells with Temperature-Dependent Properties,” International Journal of Solids and Structures, 41, pp. 19611974 (2004).
14.Shahsiah, R. and Eslami, M. R., “Thermal Buckling of Functionally Graded Cylindrical Shell,” Journal of Thermal Stresses, 26, pp. 277294 (2003).
15.Shahsiah, R. and Eslami, M. R., “Functionally Graded Cylindrical Shell Thermal Instability Based on Improved Donnell Equations,” AIAA Journal, 41, pp. 18191826 (2003).
16.Krysko, V. A., Awrejcewicz, J. and Saveleva, N. E., “Stability, Bifurcation and Chaos of Closed Flexible Cylindrical Shells,” International Journal of Mechanical Sciences, 50, pp. 247274 (2008).
17.Tornabene, F. and Viola, E., “Free Vibration Analysis of Functionally Graded Panels and Shells of Revolution,” Meccanica, 44, pp. 255281 (2009).
18.Alijani, F., Amabili, M. and Bakhtiari-Nejad, F., “Thermal Effects on Nonlinear Vibrations of Functionally Graded Doubly Curved Shells Using Higher Order Shear Deformation Theory,” Composite Structures, 93, pp. 25412553 (2011).
19.Dai, H. L., Dai, T. and Zheng, H. Y., “Stresses Distributions in a Rotating Functionally Graded Piezoelectric Hollow Cylinder,” Meccanica, 47, pp. 423436 (2012).
20.Shariyat, M., “A General Nonlinear Global-Local Theory for Bending and Buckling Analyses of Imperfect Cylindrcial Laminated and Sandwich Shells Under Thermomechanical Loads,” Meccanica, 47, pp. 301319 (2012).
21.Touloukian, Y. S., Thermophysical Properties of High Temperature Solid Materials, McMillan, New York, pp. 2425 (1967).
22.Shen, H. S. and Noda, N., “Postbuckling of Pressure-Loaded FGM Hybrid Cylindrical Shells in Thermal Environments,” Composite Structures, 77, pp. 546560 (2007).
23.Donnell, L. H., “A New Theory for the Buckling of Thin Cylinders Under Axial Compression and Bending,” Transaction, ASME, 56, pp. 795806 (1934).
24.Huang, H. W. and Han, Q., “Nonlinear Elastic Buckling and Postbuckling of Axially Compressed Functionally Graded Cylindrical Shells,” International Journal of Mechanical Sciences, 51, pp. 500507 (2009).
25.Baruch, M. and Singer, J., “Effect of Eccentricity of Stiffeners on the General Instability of Stiffened Cylindrical Shells Under Hydrostatic Pressure,” Journal of Mechanics Engineering Science, 1, pp. 2327 (1963).
26.Weingarten, V. I., “The Buckling of Cylindrical Shells Under Longitudinally Varying Loads,” Journal of Applied Mechanics, 29, pp. 8185 (1962).
27.Reddy, J. N. and Chin, C. D., “Thermomechanical Analysis of Functionally Graded Cylinders and Plates,” Journal of Thermal Stresses, 23, pp. 593629 (1998).


Buckling Analysis for a Ring-Stiffened FGM Cylindrical Shell Under Hydrostatic Pressure and Thermal Loads

  • H.-L. Dai (a1) (a2) (a3), L.-L. Qi (a1) and H.-Y. Zheng (a3)


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