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Dynamic buckling of non-sway imperfect rectangular steel frames

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Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
A nonlinear stability analysis is performed on non-sway rectangular two-bar steel frames subjected to a concentrated, suddenly applied joint load with constant magnitude and infinite duration. Using energy and geometric considerations, the dynamic buckling load is determined considering the frame, being a continuous system, as a discrete 2 degrees-of-freedom system with corresponding coordinates of the two bar axial forces. The effect of imperfection sensitivity due to loading eccentricity is also addressed. A qualitative and quantitative analysis of these autonomous systems yields a substantial reduction of the computational work. The efficiency and reliability of the nonlinear stability analysis proposed herein is illustrated by several examples, which are also solved using finite element nonlinear analysis.
Rocznik
Strony
3--15
Opis fizyczny
Bibliogr. 17 poz., wykr.
Twórcy
  • Department of Civil Engineering, National Technical University of Athens, Greece
Bibliografia
  • 1. W.T. KOITKR. On the Stability of Elastic Equilibrium. PhD Thesis presented to the Polytechnic Institute of Delft, The Netherlands 1945 (English translation NASA T'l I 10833, 1967).
  • 2. J. M. T. THOMPSON and C. W. HINT, A general Theory of Elastic Stability. John Wiley K- Sons. London L973.
  • 3. G.I. IOANNIDIS, I. G. RAFTOYIANNIS and A. N. KOUNADIS, Nonlinear Buckling of Imperfect Systems with Symmetric Imperfections. Archive of Applied Mechanics, 73. 711-717, 2004.
  • 4. D. O. BRUSH and B. O. ALMROTH, Buckling of Bars, Plates, and Shells. McGraw-Hill. New York, NY 1975.
  • 5. A. N. KOINADIS, Dynamic Buckling of Simple Two-Bar Frames Using Catastrophe Theory, Int. J. Non-Linear Mech., 37, 1249-1259, 2002.
  • 6.. A. X. KOINADIS. G. I. IOANNIDIS and X. LIGNOS, Stability Analysis of a Two-Bar Frame Using Catastrophe Theory, Proc. Eurosteel '02, Coimbra, Portugal, 1, 149-161. 2002.
  • 7. G. A. SIMITSES, Elastic Stability of Structures, Prentice Hall Inc., Englewood Cliffs. New Jersey 1976.
  • 8. A. X. KOUNADIS, J. GIRI and G. A. SIMITSES, Nonlinear Stability Analysis of an Eccentrically Loaded Two-Bar Frame, J. Appl. Mech., ASME, 44, 4, 701-706. 1977.
  • 9. G. A. SIMITSES and A.N. KOUNADIS, Buckling of Imperfect Rigid-Jointed Frames, J. Eng. Mech. Div., ASCE, 104, EM3, 569-586, 1978.
  • 10. A. N. KOUNADIS, An Efficient Simplified Approach for the Nonlinear Buckling Analysis of Frames, AIAA .J.. 23. 8. 1254-1259, 1985.
  • 11. A. N. KOUNADIS, Efficiency and Accuracy of Linearized Postbuckling Analyses of Frames based on Elastica. Int. .1. Solids and Structures. 24. 11. 1097-1112, 1988.
  • 12. S. P. TIMOSHENKO and J. M. GERE, Theory of Elastic Stability, McGraw-Hill, New York. NY 1961.
  • 13. S. WOLFRAM. Mathematica, 4th ed., Version 4, Cambridge University Press, UK 1999.
  • 14. G. I. IOANNIDIS and I. G. RAFTOYIANNIS, A Simplified Nonlinear Stability Analysis of an Imperfect Rectangular Two-Bar Frame, Computational Mechanics. 35. 2, pp. 127 133. 2004.
  • 15. C. C. SPYRAKOS and I. G. RAFTOYIANNIS, Linear and nonlinear finite element analysis in engineering practice, Algor Publ. Div., Pittsburgh, PA 1997.
  • 16. A.X. KOUNADIS, A Geometric Approach for Establishing Dynamic Buckling Loads of Autonomous Potential 2-DOF Systems, J. Appl. Mech.. ASME. 66. 1, 55-61, 1999.
  • 17. I.G. RAFTOYIANNIS, G. T. CONSTANTAKOPOII.OS. G. T. MKHALTSOS and A.N. KOUNADIS. Dynamic Buckling of a Simple Geometrically Imperfect Frame using Catastrophe Theory. Int. J. Mechanical Sciences, 48, 1021-1030, 2006.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BPB2-0040-0005
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