Modeling Interactive Buckling of Plate StructuresUsing Special Elements
Publication: Journal of Engineering Mechanics
Volume 126, Issue 12
Abstract
The interaction of local and overall buckling has been analyzed using a novel finite element in which local buckling deformation has been embedded. Amplitude modulation, a key feature of the interactive buckling, has been incorporated in the element formulation. The model has the following additional features: (1) The inclusion of a key secondary local mode where the cross section has complete or approximate double symmetry; and (2) the introduction of a simple approach for capturing localization of local buckling. This involves incorporating a single local buckling mode in the analysis, but allows the amplitude modulation function to be different for different elements. Numerical examples of thin-walled columns are presented to throw light on these issues as well as to demonstrate the accuracy and efficiency of the model.
Get full access to this article
View all available purchase options and get full access to this article.
References
1.
ABAQUS; version 5.8. (1998). Hibbitt, Karlsson and Sorenson Inc., Pawtucket, R.I.
2.
Ali, M. A., and Sridharan, S. ( 1988). “A versatile model for interactive buckling of columns and beam-columns.” Int. J. Solids and Struct., 24(5), 481–496.
3.
Benito, R., and Sridharan, S. ( 1985). “Interactive buckling analysis with finite strips.” Int. J. Numer. Methods in Engrg., 21, 145–161.
4.
Budiansky, B. ( 1966). “Dynamic buckling of elastic structures: Criteria and estimates.” Dynamic stability of structures. G. Herrman, ed., Pergamon, Oxford, U.K., 83–106.
5.
Byskov, E., and Hutchinson, J. W. ( 1977). “Mode interaction in axially stiffened cylindrical shells.” AIAA J., 15(7), 941–948.
6.
Graves Smith, T. R. ( 1966). “The ultimate strength of locally buckled columns of arbitrary length.” PhD thesis, Cambridge University, England.
7.
Hunt, G. W. ( 1977). “Imperfection-sensitivity of semi-symmetric branching.” Proc., Royal Soc., London, A357, 193–211.
8.
Koiter, W. T., and Pignataro, M. ( 1976a). “An alternative approach to the interaction of local and overall buckling in stiffened panels.” Buckling of structures, B. Budiansky, ed., Springer, New York, 133–148.
9.
Koiter, W. T., and Pignataro, M. ( 1976b). “General theory of mode interaction in stiffened plate and shell structures.” Rep. WTHD-91, Delft University of Technology, Delft, The Netherlands.
10.
Kolakowski, Z., and Teter, A. ( 2000). “Interactive buckling of thin-walled beam-columns with intermediate stiffeners or/and variable thickness.” Int. J. Solids and Struct., 37, 3323–3344.
11.
Sridharan, S. ( 1983). “Doubly symmetric interactive buckling of plate structures.” Int. J. Solids and Struct., 19(7), 625–641.
12.
Sridharan, S., and Ali, M. A. (1985). “Interactive buckling in thinwalled beam-columns.”J. Engrg. Mech. Div., ASCE, 111(12), 1470– 1486.
13.
Sridharan, S., and Ali, M. A. ( 1986). “An improved interactive buckling analysis of thin-walled columns having doubly symmetric sections.” Int. J. Solids and Struct., 22(4), 429–443.
14.
Sridharan, S., Madjid, Z., and Starnes, J. H. ( 1992). “Postbuckling response of stiffened composite cylindrical shells.” AIAA J., 30(12), 2897–2905.
15.
Sridharan, S., Madjid, Z., and Starnes, J. H. ( 1994). “Mode interaction analysis of stiffened shells using `locally buckled' elements.” Int. J. Solids and Struct., 31(7), 2347–2366.
16.
Sridharan, S., and Peng, M.-H. ( 1989). “Performance of axially compressed stiffened panels.” Int. J. Solids and Struct., 25(8), 879–899.
17.
Szabó, B. A., and Babuška, I. ( 1991). Finite element analysis, Wiley, New York.
18.
Thompson, J. M. T., and Lewis, G. M. ( 1972). “On the optimum design of thin-walled compression members.” J. Mech. Phys. Solids, 22, 101–109.
19.
Tvergaard, V. ( 1973). “Influence of postbuckling behavior in optimum design of stiffened panels.” Int. J. Solids and Struct., 9, 1519–1534.
20.
van der Neut, A. ( 1973). “The sensitivity of thin-walled compression members to column axis imperfection.” Int. J. Solids and Struct., 9, 999–1011.
Information & Authors
Information
Published In
History
Received: Mar 28, 2000
Published online: Dec 1, 2000
Published in print: Dec 2000
Authors
Metrics & Citations
Metrics
Citations
Download citation
If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download.