Sommario
In due precedenti lavori è stato analizzato l'effetto di modi simultanei di instabilità globale sul comportamento postcritico di un telaio ad una luce e a due piani incastrato con travi rigide e pilastri deformabili flessionalmente sulla base della teoria nonlineare della stabilità elastica sviluppata da Koiter. Nel presente lavoro viene studiata l'interazione di un modo di instabilità globale con uno locale in un portale semplice avente le medesime condizioni al contorno e descritto dai medesimi modelli di trave. Per quanto non definitivi, i risultati ottenuti mostrano che la sensibilità alle imperfezioni in presenza di modi di instabilità globale e locale è più elevata in confronto al caso precedente.
Summary
In two previous works the effect of simultaneous overall buckling modes on post-buckling behaviour of a one-bay-two-storey frame with rigid beams, flexible columns and fixed edges has been analysed on the basis of the nonlinear theory of elastic stability developed by Koiter. In the present article interaction effect of simultaneous overall and local buckling in a simple portal frame with the same boundary condition described by the same beam model is investigated. Far from being conclusive, results so far obtained show that imperfection sensitivity in the presence of local and overall buckling is higher in comparison with the previous case.
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References
Campus F., Massonnet C.,Colloque sur le Comportement Postcritique des Plaques Utilisées en Construction Métallique. Intervention de W.T. Koiter et M. Skaloud, 64 – 68, 103, 104. Mémoires de la Société Royale des Sciences de Liège, 5-eme série, tome VIII, fasc. 5 (1963).
Van Der Neut A.,The Interaction of Local Buckling and Column Failure of Thin-Walled Compression Members. Proc. 12th Int. Congr. Theor. Appl. Mech., Stanford University (1968), 389 – 399, Springer Verlag, 1969.
Tvergaard V.,Buckling Behaviour of Plate and Shell Structures. Proc. 14th Int. Congr. Theor. Appl. Mech., 233–247, North-Holland, Amsterdam, New York, Oxford, 1976.
Byskov E., Hutchinson J.,Mode Interaction in Axially Stiffened Cylindrical Shells AIAA J. vol. 15, n. 7, 941–948 (1977).
Byskov E.,Applicability of an Asymptotic Expansion for Elastic Buckling Problems with Mode Interaction. AIAA J. vol. 17, n. 6, 630–633 (1979).
Loughlan J., Rhodes J.,The Interaction Buckling of Lipped Channel Columns under Concentric or Eccentric Loading. In thin-Walled Structures, edited by J. Rhodes and A.C. Walker, 40 – 55, Granada (1980).
Budiansky B.,Theory of Buckling and Post-Buckling Behaviour of Elastic Structures, in Advances in Applied Mechanics, Vol. 14, edited by Chia-Shun Yih, Academic Press, New York, 1974.
Koiter W.T.,On the Stability of Elastic Equilibrium, (in Dutch). Thesis, Delft, H.J. Paris, Amsterdam (1945), English translation published as NASA TT F-10, 833 (1967) and AFFDL Report TR 70–25 (1970).
Di Carlo A., Pignataro M., D'asdia P.,A Modified Potential Energy Approach to Post-Buckling Analysis of Frames. ZAMM58, 137–139 (1978).
Pignataro M., Rizzi N.,The Effect of Multiple Buckling Modes on The Post-Buckling Behavior of Plane Elastic Frames. Part I. Symmetric Frames. J. Struct. Mech. 10(4), 437–458, (1982).
Rizzi N., Pignataro M.,The Effect of Multiple Buckling Modes on The Post-Buckling Behavior of Plane Elastic Frames. Part. II. Asymmetric Frames. J. Struct. Mech. 10(4), 459–474, (1982).
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Pignataro, M., Rizzi, N. On the interaction between local and overall buckling of an asymmetric portal frame. Meccanica 18, 92–96 (1983). https://doi.org/10.1007/BF02128349
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DOI: https://doi.org/10.1007/BF02128349