Improved exact strip postbuckling analysis of anisotropic plate with combined load and edge cases

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  • References (28)
    28 references, page 1 of 3

    174 216 2.1 Types of equilibrium (a) stable (b) unstable . . . . . . . . . . . . 9 2.2 (a) Buckling with a pitchfork bifurcation point (b) Snap-through buckling . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 10 2.3 Thin plate notation . . . . . . . . . . . . . . . . . . . . . . . . . . 12 2.4 Curves of in-plane load versus transverse displacement showing typical buckling and postbuckling behaviour . . . . . . . . . . . . 21 2.5 Types of Postbuckling Behaviour for perfect and imperfect structure 23 2.6 Calculation of axial strain . . . . . . . . . . . . . . . . . . . . . . 24 2.7 (a) in-plane angle change (b) out-of-plane angle change . . . . . . 26 2.8 Comparison of non-dimensional load versus end shortening curves as given by theory and experiment [3] . . . . . . . . . . . . . . . . 37 4.1 Illustration of the in nitely long structure with constraints. (a) plan view (b) isometric view . . . . . . . . . . . . . . . . . . . . . 48 4.2 (a) Prismatic plate assemblies (b) Component plate, showing inplate loading and coordinates . . . . . . . . . . . . . . . . . . . . 49 4.3 Continuous design procedure of VICONOPT using sizing strategy 51 5.1 Flow chart of entire procedure of calculations . . . . . . . . . . . 56 5.2 Typical coordinates with displacements . . . . . . . . . . . . . . . 57 6.1 Improved postbuckling analysis before being implemented into VICONOPT . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 81

    [1] http://www.google.co.uk/search=a380+fuselage+wing. vii, 2

    [2] http://www.google.co.uk/search=a380+boeing787. vii, 3

    [3] M.Stein. Analytical results for post-buckling behaviour of plates in compression and in shear.In:Aspects of Analysis of Plate Structures, A volume in honour of W.H.Wittrick(ed.D.J.Dawe, R.W.Horsington, A.G.Kamtekar and G.H.Little). Clarendon Press, Oxford, 1984. vii, 3, 4, 5, 36, 37, 54, 57

    [4] L.Euler. On the strength of columns. Academie Royale des Sciences et Belle Lettres Memoires, 13:252, 1759. English translation by A. J. Van den Broek, Euler's Classic Paper 'On the Strength of Columns', American Journal of Physics, Volume 15, Number 4, July-August 1947, pp. 309-318. 2, 7

    [7] D.Kennedy. Formulation of equations for nding stress resultants (method 2). unpublished report, 2007. 3, 4, 54

    [8] Karlsson, Hibbitt, and Inc. Sorensen. "ABAQUS/Standard User's Manual", Version 6.8. Pawtucket, RI, 2008. 4

    [9] MSC/Software. MSC/NASTRAN verstion 70.7, MSC. Los Angeles, USA, 1999. 4

    [16] J.W.Hutchinson and B.Budiansky. Dynamic buckling estimates. AIAA Journal, 4:525{530, 1967. 7, 29

    [17] R.M.Jones. Buckling of bars, plates and shells. Bull Ridge Publishing, Blacksburg, Virginia, 2006. 8, 21, 23

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