Hostname: page-component-78c5997874-t5tsf Total loading time: 0 Render date: 2024-11-14T05:23:20.498Z Has data issue: false hasContentIssue false
  • English
  • Français

Exact strip postbuckling analysis of composite plates under compression and shear

Published online by Cambridge University Press:  05 July 2019

K. Zhao ,
D. Kennedy  and
C.A. Featherston
K. Zhao
Affiliation:
Cardiff University School of EngineeringCardiff, UK
D. Kennedy
Affiliation:
Cardiff University School of EngineeringCardiff, UK
C.A. Featherston
Affiliation:
Cardiff University School of EngineeringCardiff, UK
Get access Rights & Permissions [Opens in a new window]

Abstract

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.

Keywords

composite panelpostbucklingexact stripshear load
Type
Research Article
Information
The Aeronautical Journal , Volume 123 , Issue 1263 , May 2019 , pp. 658 - 677
Copyright
© Royal Aeronautical Society 2019 

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

REFERENCES

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.Google Scholar
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 1–8.10.2514/6.2008-2184CrossRefGoogle Scholar
Von Karman, T., Sechler, E.E. and Donnell, L.H. The strength of thin plates in compression, Transactions of ASME, 1932, 54, (20), pp 53–57.Google Scholar
Cox, H.L. The buckling of thin plates in compression, 1933, British Ministry of Aviation, Aeronautical Research Council, Reports and Memoranda, p 1554.Google Scholar
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.Google Scholar
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 833–842.10.1016/0020-7403(78)90009-7CrossRefGoogle Scholar
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 1011–1023.10.1016/0045-7949(93)90436-HCrossRefGoogle Scholar
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 1–7.CrossRefGoogle Scholar
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 205–223.Google Scholar
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 399–413.Google Scholar
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 209–239.10.1016/0020-7403(74)90069-1CrossRefGoogle Scholar
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 263–284.10.1093/qjmam/24.3.263CrossRefGoogle Scholar
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 497–518.CrossRefGoogle Scholar
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 585–596.CrossRefGoogle Scholar
Butler, R. and Williams, F.W. Optimum buckling design of compression panels using VICONOPT. Structural Optimization, 1992, 6, (3), pp 160–165.CrossRefGoogle Scholar
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 245–262.CrossRefGoogle Scholar
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 579–584.CrossRefGoogle Scholar
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 595–603.CrossRefGoogle Scholar
Che, B. Improved exact strip postbuckling analysis of anisotropic plate with combined load and edge cases. 2012, PhD thesis, Cardiff University, U.K.Google Scholar
Dassault Systems INC. ABAQUS User’s Manual, Version 6.11, 2014, Paris.Google Scholar