Hostname: page-component-cd9895bd7-p9bg8 Total loading time: 0 Render date: 2024-12-28T06:06:20.041Z Has data issue: false hasContentIssue false
  • English
  • Français

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

Published online by Cambridge University Press:  22 May 2014

H.-L. Dai ,
L.-L. Qi  and
H.-Y. Zheng
H.-L. Dai*
Affiliation:
State Key Laboratory of Advanced Design and Manufacturing for Vehicle Body, Hunan University, Changsha, 410082, China Key Laboratory of Manufacture and Test Techniques for Automobile Parts, Ministry of Education, Chongqing University of Technology, Chongqing, 400054, China Department of Engineering Mechanics, College of Mechanical & Vehicle Engineering, Hunan University, Changsha, 410082, China
L.-L. Qi
Affiliation:
State Key Laboratory of Advanced Design and Manufacturing for Vehicle Body, Hunan University, Changsha, 410082, China
H.-Y. Zheng
Affiliation:
Department of Engineering Mechanics, College of Mechanical & Vehicle Engineering, Hunan University, Changsha, 410082, China
*
hldai520@sina.com
Get access

Abstract

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.

Keywords

BucklingRing-stiffenedFGMCylindrical shellHydrostatic pressure
Type
Research Article
Information
Journal of Mechanics , Volume 30 , Issue 4 , August 2014 , pp. 403 - 410
Copyright
Copyright © The Society of Theoretical and Applied Mechanics, R.O.C. 2014 

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

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. 75–81 (1988).Google Scholar
2.Kostyrko, V. V. and Krasovsky, V. L., “Pre-Buckling Deformation of Axially Compressed Longitudinally Reinforced Shells,” Theoretical Foundations of Civil Engineering, pp. 87–96 (1995).Google Scholar
3.Hoppmann, W. H., “Some Characteristics of the Flexural Vibration of Orthogonally Stiffened Cylindrical Shells,” Journal of the Acoustical Society of America, 30, pp. 77–83 (1958).Google Scholar
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).Google Scholar
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).Google Scholar
6.Shen, H. S., “Postbuckling Analysis of Stiffened Laminated Cylindrical Shells Under Combined External Liquid Pressure and Axial Compression,” Engineering Structures, 8, pp. 738–751 (1998).Google Scholar
7.Awrejcewicz, J. and Krysko, V. A., Nonclassical Thermoelastic Problems in Nonlinear Dynamics of Shells, Springer-Verlag, Berlin (2003).Google Scholar
8.Awrejcewicz, J., Andrianov, I. V. and Manevitch, L. I., Asymptotical Mechanics of Thin Walled Structures, Springer-Verlag, Berlin (2004).Google Scholar
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. 1505–1515 (2006).Google Scholar
10.Chang, L. K. and Card, M. F., “Thermal Buckling in Stiffened Cylindrical Shells,” Structural Dynamic and Materials Conference, 11, pp. 260–272 (1970).Google Scholar
11.Ma, S. F. and Wilcox, M. W., “Thermal Buckling of Antisymmetric Angle-Ply Laminated Cylindrical Shells,” Composites Engineering, 1, pp. 183–192 (1991).Google Scholar
12.Shen, H. S., “Thermal Postbuckling Analysis of Imperfect Stiffened Laminated Cylindrical Shells,” International Journal of Non-Linear Mechanics, 2, pp. 259–275 (1997).Google Scholar
13.Shen, H. S., “Thermal Postbuckling Behavior of Functionally Graded Cylindrical Shells with Temperature-Dependent Properties,” International Journal of Solids and Structures, 41, pp. 1961–1974 (2004).Google Scholar
14.Shahsiah, R. and Eslami, M. R., “Thermal Buckling of Functionally Graded Cylindrical Shell,” Journal of Thermal Stresses, 26, pp. 277–294 (2003).Google Scholar
15.Shahsiah, R. and Eslami, M. R., “Functionally Graded Cylindrical Shell Thermal Instability Based on Improved Donnell Equations,” AIAA Journal, 41, pp. 1819–1826 (2003).Google Scholar
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. 247–274 (2008).Google Scholar
17.Tornabene, F. and Viola, E., “Free Vibration Analysis of Functionally Graded Panels and Shells of Revolution,” Meccanica, 44, pp. 255–281 (2009).Google Scholar
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. 2541–2553 (2011).Google Scholar
19.Dai, H. L., Dai, T. and Zheng, H. Y., “Stresses Distributions in a Rotating Functionally Graded Piezoelectric Hollow Cylinder,” Meccanica, 47, pp. 423–436 (2012).Google Scholar
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. 301–319 (2012).Google Scholar
21.Touloukian, Y. S., Thermophysical Properties of High Temperature Solid Materials, McMillan, New York, pp. 24–25 (1967).Google Scholar
22.Shen, H. S. and Noda, N., “Postbuckling of Pressure-Loaded FGM Hybrid Cylindrical Shells in Thermal Environments,” Composite Structures, 77, pp. 546–560 (2007).Google Scholar
23.Donnell, L. H., “A New Theory for the Buckling of Thin Cylinders Under Axial Compression and Bending,” Transaction, ASME, 56, pp. 795–806 (1934).Google Scholar
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. 500–507 (2009).CrossRefGoogle Scholar
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. 23–27 (1963).Google Scholar
26.Weingarten, V. I., “The Buckling of Cylindrical Shells Under Longitudinally Varying Loads,” Journal of Applied Mechanics, 29, pp. 81–85 (1962).CrossRefGoogle Scholar
27.Reddy, J. N. and Chin, C. D., “Thermomechanical Analysis of Functionally Graded Cylinders and Plates,” Journal of Thermal Stresses, 23, pp. 593–629 (1998).Google Scholar