Antisymmetric Post-Buckling Localization of an Infinite Column on a Nonlinear Foundation with Softening
Autor(en): |
Guotao Yang
Mark A. Bradford |
---|---|
Medium: | Fachartikel |
Sprache(n): | Englisch |
Veröffentlicht in: | International Journal of Structural Stability and Dynamics, Oktober 2015, n. 8, v. 15 |
Seite(n): | 1540028 |
DOI: | 10.1142/s0219455415400283 |
Abstrakt: |
Field observations reveal that very long members such as railway tracks and pipelines which are subjected to axial compression, induced usually by temperature and/or pressure increases, experience localized buckling. This paper presents a solution for the antisymmetric post-buckling of such members when restrained by a nonlinear foundation that includes softening effects. The principle of minimum total potential is invoked in order to develop the governing differential equations of buckling, as well as the non-linear equations of equilibrium in the post-buckled range of structural response. In order to solve these equations, a semi-analytical solution is proposed based on a perturbation technique, as well as a numerical technique based on a single shooting procedure for the solution of boundary value problems. The results of the analysis show that the post-buckling configuration of the column changes from a lengthwise periodic mode at the initial stages of loading to an isolated sinusoidal mode at the later stages of post-buckling, which represents a localization in the post-buckling range. This response is typical of that observed often in practice. Comparisons between the results of the perturbation technique and those of the numerical approach indicate that the semi-analytical perturbation solution predicts the initial post-buckling response of a column on a nonlinear foundation quite accurately. |
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10352601 - Veröffentlicht am:
14.08.2019 - Geändert am:
14.08.2019