Post-buckling of linearly tapered column made of nonlinear elastic materials obeying the generalized Ludwick constitutive law
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Author list: Saetiew W., Chucheepsakul S.
Publisher: Elsevier
Publication year: 2012
Journal: International Journal of Mechanical Sciences (0020-7403)
Volume number: 65
Issue number: 1
Start page: 83
End page: 96
Number of pages: 14
ISSN: 0020-7403
eISSN: 1879-2162
Languages: English-Great Britain (EN-GB)
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Abstract
This paper aims to present the post-buckling behavior of a linearly tapered column with pinned ends made of nonlinear elastic materials and subjected to an axial compressive force. The stress-strain relationship of such materials is represented by the generalized Ludwick constitutive law. The column has a rectangular cross-section with a constant width and linearly varying depth along the length of the column. The governing equations are derived by considering the geometrical and material nonlinearities. Up to this point, a set of strongly nonlinear simultaneous first-order differential equations with boundary conditions is established and numerically solved by using the shooting method. The effects of material nonlinearity parameter n and depth ratio h̄B/h̄A on the equilibrium configurations and the equilibrium paths are investigated and thoroughly discussed herein. As a result, many interesting features found in the nonlinear hardening column exhibit the nonlinear phenomena such as a non-monotonic bifurcation curve, the limit load point, snap-through phenomenon and hysteresis loop. © 2012 Elsevier Ltd.
Keywords
Nonlinear phenomena, Tapered column
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