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Tytuł artykułu

Modelling of an imperfect column having variable cross-sections and non-symmetric responses in tension and compression

Wybrane pełne teksty z tego czasopisma
Identyfikatory
Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
The behavior of a column having variable rectangular cross-sections has been modelled assuming that the column material has non-symmetric responses both in tension and compression. For this purpose, a powerful numerical scheme, based on the finite difference technique, has been devised and used to trace the load-deflection curves (equilibrium configuration paths) of a column that has highly non-linear stress-strain curves which are non-symmetric both in tension and compression. The appearance of the critical load, that causes enormous deflections with an infinitesimall increase in the loading parameters, is determined from those load-deflection curves. The devised method can be used to calculate buckling loads of any column with material and geometric nonlinearities. To make the study realistic an initial shape imperfection has been included and its effect on the column's response has also been discussed in detail. A comparison shows a good agreement between results based on the devised numerical scheme and those obtained from experiments for a specific case and other available studies.
Rocznik
Strony
439--457
Opis fizyczny
Bibliogr. 12 poz., tab., wykr.
Twórcy
autor
  • Department of Mechanical Engineering Bangladesh University of Engineering and Technology (BUET), Dhaka-1000, INDIA, ashiq@me.buet.ac.bd
Bibliografia
  • Bert C.W. and Ko C.L. (1985): Buckling of columns constructed of bimodular materials. - International Journal of Engineering Science, vol.23, No.6, pp.641-657.
  • Brush D.D. and Almroth B.O. (1975): Buckling of Bars, Plates, and Shells. - New York: McGraw-Hill.
  • Chowdhuri M.A.K. (2008): Nonlinear Analysis of Shape Memory Alloy Columns Having Variable Cross-Sections. - M. Sc Engg. Thesis, Bangladesh University of Engineering and Technology, Dhaka.
  • Gadalla M.A. and Abdalla J.A. (2006): Modeling and prediction of buckling behavior of compression members with variability in material and/or section properties. - Structural Engineering and Mechanics, An International Journal, vol.22, No.5, pp.631-645.
  • Li Q.S. (2003): Classes of exact solutions for buckling of multi-step non-uniform columns with an arbitrary number of cracks subjected to concentrated and axial loads. - Int. J. Eng. Sci., vol.41, No.6, pp.569-586.
  • Lacarbonara W. (2008): Buckling and post-buckling of non-uniform nonlinearly elastic rods. - International Journal of Mechanical Sciences 50, pp.1316-1325.
  • Massone L.M. and Moroder D. (2009): Bulking modeling of reinforcing bars with imperfections. - Engineering Structures 31, pp.758-767.
  • Rahman M.A. and Chowdhuri M.A.K. (2009): Experiment and Nonlinear Analysis of Stainless Steel Columns having Variable Cross-sections. - I. J. Struct. E. (inderscience Ltd.), In press.
  • Rahman M.A. (2001): Behavior of the superelastic shape memory alloy columns under compression and torsion. - Ph.D. Thesis, Tohoku University, Japan.
  • Sampaio Jr, J.H.B. and Hundhauson J.R. (1998): A mathematical model and analytical solution for buckling of inclined beam columns. - Applied Mathematics and Modelling 22, pp.405-421.
  • Timoshenko S. and Gere J.M. (1981): Theory of Elastic Stability. - McGraw-Hill Book Company, Inc.
  • Virdi K.S. (2006): Finite difference method for nonlinear analysis of structures. - Journal of Constructional Steel Research, vol.62, pp.1210-1218.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BPZ5-0027-0006
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