Skip to main content Accessibility help

Exact strip postbuckling analysis of composite plates under compression and shear

  • K. Zhao (a1), D. Kennedy (a1) and C.A. Featherston (a1)


Stiffened wing and fuselage panels often have a postbuckling reserve of strength, enabling them to carry loads far in excess of their critical buckling loads. Therefore allowing for postbuckling in design can reduce their weight, hence reducing fuel consumption and environmental impact. The present paper extends the postbuckling analysis in the exact strip software VICONOPT to more accurately reflect the skewed mode shapes arising from shear load and anisotropy. Such mode shapes are represented by a series of sinusoidal responses with different half-wavelengths which are coupled together using Lagrangian multipliers to enforce the boundary conditions. In postbuckling analysis the in-plane deflections involve responses with additional half-wavelengths which are absent from the out-of-plane deflection series. Numerical results are presented and compared with finite element analysis for validation. The present analysis gives close results compared to the finite element and finite strip methods and saves computational time significantly.



Hide All
1.Che, B., Kennedy, D. and Featherston, C.A. Improved exact strip postbuckling analysis for anisotropic plates, Proceedings of 2nd Royal Aeronautical Society Conference on Aircraft Structural Design, London, 2010, Paper 37.
2.Anderson, M.S. and Kennedy, D. Postbuckling of composite stiffened panels using exact strip analysis with Newton iteration, Proceedings of the 49th AIAA/ASME/ASCE/AHS/ASC Structures, Structural, Dynamics and Materials Conference, Schaumburg, 2008. Paper AIAA-2008-2184, pp 18.10.2514/6.2008-2184
3.Von Karman, T., Sechler, E.E. and Donnell, L.H. The strength of thin plates in compression, Transactions of ASME, 1932, 54, (20), pp 5357.
4.Cox, H.L. The buckling of thin plates in compression, 1933, British Ministry of Aviation, Aeronautical Research Council, Reports and Memoranda, p 1554.
5.Koiter, W.T. De meedragende breedte bij groote oversehrijding der dnikspanning voor versehillende inklemming der plaatranden. (The effective width of in finitely long, flat rectangular plates under various conditions of edge restraint), 1943, Report S.287, Nationaal Luchtvaartlaboratorium, Amsterdam.
6.Graves-Smith, T. and Sridharan, S. A finite strip method for the post-locallybuckled analysis of plate structures. International J of Mechanical Sciences, 1978, 20, (12), pp 833842.10.1016/0020-7403(78)90009-7
7.Dawe, D.J., Lam, S.S.E. and Azizian, Z.G. Finite strip post-local-buckling analysis of composite prismatic plate structures. Computers and Structures, 1993, 48, (6), pp 10111023.10.1016/0045-7949(93)90436-H
8.Cheung, Y.K. The finite strip method in the analysis of elastic plates with two opposites imply supported ends. Proceedings of the Institution of Civil Engineers, 1968, 40, (1), pp 17.
9.Stein, M. Analytical results for post-buckling behaviour of plates in compression and in shear. In: Aspects of the analysis of plate structures, A volume in honour of W. H. Wittrick (ed. Dawe, DJ, Horsington, RW, Kamtekar, AG and Little, GH), 1985, Clarendon Press, Oxford, pp 205223.
10.Kennedy, D., Fischer, M. and Featherston, C.A. Recent developments in exact strip analysis and optimum design of aerospace structures, Proceedings of the Institution of Mechanical Engineers, Part C: J of Mechanical Engineering Science, 2007, 221, (4), pp 399413.
11.Wittrick, W.H. and Williams, F.W. Buckling and vibration of anisotropic or isotropic plate assemblies under combined loadings. International J of Mechanical Sciences, 1974, 16, (4), pp 209239.10.1016/0020-7403(74)90069-1
12.Wittrick, W.H. and Williams, F.W. A general algorithm for computing natural frequencies of elastic structures. Quarterly J of Mechanics and Applied Mathematics, 1971, 24, (3), pp 263284.10.1093/qjmam/24.3.263
13.Wittrick, W.H. and Williams, F.W. An algorithm for computing critical buckling loads of elastic structures, J of Structural Mechanics, 1973, 1, (4), pp 497518.
14.Anderson, M.S., Williams, F.W. and Wright, C.J. Buckling and vibration of any prismatic assembly of shear and compression loaded anisotropic plates with an arbitrary supporting structure. International J of Mechanical Sciences, 1983, 25, (8), pp 585596.
15.Butler, R. and Williams, F.W. Optimum buckling design of compression panels using VICONOPT. Structural Optimization, 1992, 6, (3), pp 160165.
16.Kennedy, D., Williams, F.W. and Anderson, M.S. Buckling and vibration analysis of laminated panels using VICONOPT. ASCE J of Aerospace Engineering, 1994, 7, (3), pp 245262.
17.Williams, F.W. and Anderson, M.S. Incorporation of Lagrangian multipliers into an algorithm for finding exact natural frequencies or critical buckling loads. International J of Mechanical Sciences, 1983, 25, (8), pp 579584.
18.Powell, S.M., Williams, F.W., Askar, A.-S. and Kennedy, D. Local postbuckling analysis for perfect and imperfect longitudinally compressed plates and panels. Proceedings of 39th AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics, and Materials Conference, Long Beach, 1998, pp 595603.
19.Che, B. Improved exact strip postbuckling analysis of anisotropic plate with combined load and edge cases. 2012, PhD thesis, Cardiff University, U.K.
20.Dassault Systems INC. ABAQUS User’s Manual, Version 6.11, 2014, Paris.


Related content

Powered by UNSILO

Exact strip postbuckling analysis of composite plates under compression and shear

  • K. Zhao (a1), D. Kennedy (a1) and C.A. Featherston (a1)


Full text views

Total number of HTML views: 0
Total number of PDF views: 0 *
Loading metrics...

Abstract views

Total abstract views: 0 *
Loading metrics...

* Views captured on Cambridge Core between <date>. This data will be updated every 24 hours.

Usage data cannot currently be displayed.