Hostname: page-component-78c5997874-j824f Total loading time: 0 Render date: 2024-11-15T19:20:00.483Z Has data issue: false hasContentIssue false
  • English
  • Français

Buckling of Cylindrical Shells with Arbitrary Circumferential Thickness Variations Under External Pressure

Published online by Cambridge University Press:  14 July 2016

W.-Z. Feng ,
Z.-P. Chen ,
P. Jiao ,
F. Zhou  and
H.-G. Fan
W.-Z. Feng
Affiliation:
Institute of Process EquipmentCollege of Chemical and Biological EngineeringZhejiang UniversityHangzhou, China
Z.-P. Chen*
Affiliation:
Institute of Process EquipmentCollege of Chemical and Biological EngineeringZhejiang UniversityHangzhou, China
P. Jiao
Affiliation:
Institute of Process EquipmentCollege of Chemical and Biological EngineeringZhejiang UniversityHangzhou, China
F. Zhou
Affiliation:
Institute of Process EquipmentCollege of Chemical and Biological EngineeringZhejiang UniversityHangzhou, China
H.-G. Fan
Affiliation:
Institute of Process EquipmentCollege of Chemical and Biological EngineeringZhejiang UniversityHangzhou, China
*
*Corresponding author ([email protected])
Get access

Abstract

This paper presents an analytical study on the buckling of cylindrical shells with arbitrary circumferential thickness variations under external pressure. Firstly, based on the thin shell theory and separation of variables, corresponding ordinary differential equations of laterally pressured cylinders are obtained. Secondly, the general asymptotic formula of buckling load, which is in terms of thickness variation parameter up to arbitrary order, is derived by combining the perturbation method and Fourier series expansion. Thirdly, the effects of uniform and circumferential modal thickness variations on the buckling of cylindrical shells under external pressure are investigated, respectively, and the results agree well with those available in literature. Particularly, the buckling load reduction of cylinders with circumferential modal thickness variation obtained by the proposed method coincides with the numerical results presented by Gusic et al. This analytical method is applicable for evaluating the stability of laterally pressured cylindrical shells with arbitrary circumferential thickness variations, once the thickness variation is known.

Keywords

BucklingCylindrical shellCircumferential thickness variationExternal pressure
Type
Research Article
Information
Journal of Mechanics , Volume 33 , Issue 1 , February 2017 , pp. 55 - 64
Copyright
Copyright © The Society of Theoretical and Applied Mechanics 2017 

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. Yamaki, N., Otorno, K. and Matsuda, K., “Experiments on the post-buckling behavior of circular cylindrical shells under compression,” Experimental Mechanics, 15, pp. 23–28 (1975).Google Scholar
2. Rotter, J. M. and Teng, J. G., “Elastic stability of cylindrical shells with weld depressions,” Journal of Structural Engineering, 115, pp. 1244–1263 (1989).Google Scholar
3. Shen, H. and Chen, T., “Buckling and postbuckling behaviour of cylindrical shells under combined external pressure and axial compression,” Thin-walled Structures, 12, pp. 321–334 (1991).Google Scholar
4. Greiner, R. and Guggenberger, W., “Buckling behavior of axially loaded steel cylinders on local supports—with and without internal pressure,” Thin-Walled Structures, 31, pp. 159–167 (1998).Google Scholar
5. Khamlichi, A., Bezzazi, M. and Limam, A., “Buckling of elastic cylindrical shells considering the effect of localized axisymmetric imperfections,” Thin-walled structures, 42, pp. 1035–1047 (2004).Google Scholar
6. Hübner, A., Teng, J. G. and Saal, H., “Buckling behaviour of large steel cylinders with patterned welds,” International Journal of Pressure Vessels and Piping, 83, pp. 13–26 (2006).Google Scholar
7. Ali, L. and Abdellatif, K., “Effect of multiple localized geometric imperfections on stability of thin axisymmetric cylindrical shells under axial compression,” International Journal of Solids and Structures, 48, pp. 1034–1043 (2011).Google Scholar
8. Yu, C. L., Chen, Z. P., Wang, J., Yan, S. J. and Yang, L. C., “Effect of weld reinforcement on axial plastic buckling of welded steel cylindrical shells,” Journal of Zhejiang University SCIENCE A, 13, pp. 79–90 (2012).Google Scholar
9. Chen, L., “Buckling analysis of short cylinders of uniform thickness under uniform external pressure,” Applied Mechanics and Materials, 351, pp. 501–504 (2013).Google Scholar
10. Koiter, W. T., Elishakoff, I., Li, Y. W. and Starnes, J. H., “Buckling of an axially compressed cylindrical shell of variable thickness,” International Journal of Solids and Structures, 31, pp. 797–805 (1994).Google Scholar
11. Li, Y. W., Elishakoff, I. and Starnes, J. H. “Axial buckling of composite cylindrical shells with periodic thickness variation,” Computers & Structures, 56, pp.65–74 (1995).Google Scholar
12. Nguyen, H. L. T., Elishakoff, I. and Nguyen, V. T., “Buckling under the external pressure of cylindrical shells with variable thickness,” International Journal of Solids and Structures, 46, pp. 4163–4168 (2009).Google Scholar
13. Chen, Z., Yang, L., Cao, G. and Guo, W., “Buckling of the axially compressed cylindrical shells with arbitrary axisymmetric thickness variation,” Thin-Walled Structures, 60, pp. 38–45 (2012).Google Scholar
14. Yang, L., Chen, Z., Chen, F., Guo, W. and Cao, G., “Buckling of cylindrical shells with general axisymmetric thickness imperfections under external pressure,” European Journal of Mechanics-A/Solids, 38, pp. 90–99 (2013).Google Scholar
15. Aghajari, S., Abedi, K. and Showkati, H., “Buckling and post-buckling behavior of thin-walled cylindrical steel shells with varying thickness subjected to uniform external pressure,” Thin-Walled Structures, 44, pp. 904–909 (2006).Google Scholar
16. Chen, L., Rotter, J. M. and Doerich, C., “Buckling of cylindrical shells with stepwise variable wall thickness under uniform external pressure,” Engineering Structures, 33, pp. 3570–3578 (2011).Google Scholar
17. Gusic, G., Combescure, A. and Jullien, J. F., “The influence of circumferential thickness variations on the buckling of cylindrical shells under external pressure,” Computers & Structures, 74, pp. 461–477 (2000).CrossRefGoogle Scholar
18. Combescure, A. and Gusic, G., “Nonlinear buckling of cylinders under external pressure with non-axisymmetric thickness imperfections using the COMI axisymmetric shell element,” International Journal of Solids and Structures, 38, pp. 6207–6226 (2001).Google Scholar
19. Yamaki, N., Elastic Stability of Circular Cylindrical Shells, Elsevier Science Publishers B. V., Amsterdam (1984).Google Scholar