Buckling And Postbuckling Of An Imperfect Plate Subjected To The Shear Load

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Abstract

The stability analysis of an imperfect plate subjected to the shear load is presented. To solve this problem, a specialized computer program 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. 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.

[1] WASHIZU, K.: Variational Methods in Elasticity and Plasticity. Pergamonn Press, NY, 1982, 630 pp. ISBN 0-08-026723-8.

[2] SAIGAL, S. & YANG, I.: Nonlinear Dynamic Analysis with 48 DOF Curved Thin Shell Element. Int. J. Numer. Methods in Engng. 1985, 22, pp. 1115-1128. ISSN 0029-5981.

[3] ZIENKIEWICZ, O. C. & TAYLOR, R. L.: The Finite Element Method. Vol. 2. Solid and Fluid Mechanics. Dynamics and Non-Linearity. McGraw-Hill, London, 1991, 690 pp. ISBN 0-07-084175-6.

[4] CRISFIELD, M. A.: Non-Linear Finite Element Analysis of Solids and Structures. Wiley&Sons, London, 2000, 346 pp. ISBN 0-471-92956-5.

[5] ANSYS User’s Manual 13.0. Swanson Analysis Systems, Inc., 2010.

[6] KALA, Z. & KALA, J. & SKALOUD, M. & 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 (England, UK), 2004, pp. 499-506. ISBN 0 7503 1006-5.

[7] PSOTNY, M. & RAVINGER, J.: Post-Buckling Behaviour of Imperfect Slender Web. Engineering Mechanics. Vol. 14, 2007, No. 6, pp. 423-429. ISSN 1802-1484.

[8] VOLMIR, A. S.: Ustojcivost deformiruemych sistem. Nauka, Moskva, 1967. 984pp. (in Russian)

[9] BULSON, P. S.: The Stability of Flat Plates. Chatto&Windus, London, 1970, 470 pp. ISBN 7011-1478-9.

[10] BLOOM, F. & COFFIN, D. Handbook of Thin Plate Buckling and Postbuckling. Chapman&Hall/CRC, Boca Raton, 2001, 770 pp. ISBN 1-58488-222-0.

[11] RHODES, J.: Some observations on the post-buckling behaviour of thin plates and thin-walled members. Thin-walled structures. Vol. 41, No 2-3, 2003, pp. 207-226. ISSN 0263-8231.

[12] RAVINGER, J.: Vibration of Imperfect Thin-Walled Panel. Part 1: Theory and Illustrative Examples. Thin-Walled Structures. Vol. 19, No 1, 1994, pp. 1-22. ISSN 0263-8231.

[13] PSOTNY, M.: Total Potential Energy Levels in the Post-Buckling. 13th International Scientific Conference VSU 2013, Sofia, Bulgaria. Vol. I. pp. I- 296-299. ISSN 1314-071X.

[14] RAVINGER, J. & PSOTNY, M.: Stable and Unstable Paths in the Post-Buckling Behaviour of Slender Web. Coupled Instabilities in Metal Structures, Roma, 2004, pp. 67 – 75.

Prof. Ing. Zdeněk Kala, Ph.D., Institute of Structural Mechanics, Faculty of Civil Engineering, Brno University of Technology, Czech Republic.

Prof. Ing. Pavel Kuklík, CSc., Department of Mechanics, Faculty of Civil Engineering, Czech Technical University in Prague, Czech Republic.

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