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Postbuckling of an Imperfect Plate Subjected to the Shear Load

Autorzy
Identyfikatory
Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
The stability analysis of an imperfect plate subjected to the shear load is presented, a specialized code based on FEM has been created. The nonlinear finite element method equations are derived from the variational principle of minimum of total potential energy. To obtain the nonlinear equilibrium paths, the Newton–Raphson iteration algorithm is used. Corresponding levels of the total potential energy are defined. The peculiarities of the effects of the initial imperfections are investigated. Special attention is paid to the influence of imperfections on the post–critical buckling mode. Obtained results are compared with those gained using ANSYS system.
Rocznik
Strony
177--184
Opis fizyczny
Bibliogr. 20 poz.
Twórcy
autor
  • Department of Structural Mechanics Slovak University of Technology in Bratislava Radlinskeho 11, 810 05 Bratislava, Slovakia
Bibliografia
  • [1] Murray, D. W. and Wilson, E. L.: Finite element postbuckling analysis of thin elastic plates, Am. Inst. of Aero. and Astro. J., 7, 1915–1930, 1969.
  • [2] Sharifi, P. and Popov, E. P.: Nonlinear buckling analysis of sandwich arches, Proc. ASCE, J. Engng. Mech. Div., 97, 397–1411, 1971.
  • [3] Sabir, A. B. and Lock, A. C.: The application of finite elements to the largedeflection geometrically non–linear behavior of cylindrical shells, Proc. Int. Conf. on Var. Mech. in Engng., Southampton Univ., Session VII, 67–76, 1972.
  • [4] Riks, E.: The application of Newton’s method to the problem of elastic stability, J. Appl. Mech., 39, 1060–1066, 1972.
  • [5] Batoz, J. L. and Dhatt, G.: Incremental displacement algorithmus for non-linear problems, Int. J. Num. Meth. Engng., 14, 1262–1266, 1979.
  • [6] Wriggers, P. and Simo, J. C.: A general procedure for the direct computation on turning and bifurcation points, Int. J. for Numer. Meth. Engng., 30, 155–176, 1990.
  • [7] Bathe, K. J.: Finite element procedures in engineering analysis, Prentice–Hall, Englewood Cliffs, 1982.
  • [8] Crisfield, M. A.: Non–Linear Finite Element Analysis of Solids and Structures, Wiley&Sons, London, 1996.
  • [9] Ravinger, J.: Vibration of Imperfect Thin–Walled Panel. Part 1: Theory and Illustrative Examples. Part 2: Numerical Results and Experiment, Thin–Walled Structures, 19, No. 1, 1–36, 1994.
  • [10] Washizu, K.: Variational Methods in Elasticity and Plasticity, third ed., Pergamonn Press, New York, 1982.
  • [11] Saigal, S. and Yang, I.: Nonlinear Dynamic Analysis with 48 DOF Curved Thin Shell Element, Int. J. Numer. Methods in Engng., 22, 1115–1128, 1985.
  • [12] ANSYS User’s Manual 13.0. Swanson Analysis Systems, Inc., 2010.
  • [13] Kala, Z., Kala, J., Skaloud, M. and Teply, B.: Sensitivity Analysis of the Effect of Initial Imperfections on the Stress State in the Crack–Prone Areas of Breathing Webs, Proc. of the Fourth Int. Conf. on Thin–walled Structures, Loughborough (UK), 499–506, 2004.
  • [14] Psotny, M. and Ravinger, J.: Post–Buckling Behaviour of Imperfect Slender Web, Engineering Mechanics, 14, No. 6, 423–429, 2007.
  • [15] Bulson, P. S.: The Stability of Flat Plates, Chatto&Windus, London, 1970.
  • [16] Bloom, F. and Coffin, D.: Handbook of Thin Plate Buckling and Postbuckling, Chapman&Hall/CRC, Boca Raton, 2001.
  • [17] Rhodes, J.: Some observations on the post-buckling behaviour of thin plates and thin-walled members. Thin–walled structures, 41, No. 2-3, 207–226, 2003.
  • [18] Psotny, M.: Total Potential Energy Levels in the Post–Buckling, Proceedings of 13 th International Scientific Conference VSU 2013, Sofia, Vol. I., 296–299, 2013.
  • [19] Ravinger, J. and Psotny, M.: Stable and Unstable Paths in the Post-Buckling Behaviour of Slender Web, Coupled Instabilities in Metal Structures, Roma, 67–75, 2004.
  • [20] Psotny, M.: Stable and unstable paths in geometrically nonlinear problems, Vydavatelstvo SvF STU, Bratislava (in Slovak), 2004.
Uwagi
Opracowanie ze środków MNiSW w ramach umowy 812/P-DUN/2016 na działalność upowszechniającą naukę.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-594b22ce-3447-485f-b894-8df729152719
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