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Semi-analytical solution for post-buckling analysis of simply-supported multi-stepped columns
Structures ( IF 4.1 ) Pub Date : 2020-07-18 , DOI: 10.1016/j.istruc.2020.07.013
Esmaeal Ghavanloo

In this paper, semi-analytical solution is developed to predict post-buckling configurations of simply-supported columns consisting of an arbitrary number of segments. Geometric and equilibrium relations of the deformed column are utilized to derive the nonlinear governing equations and the closed-form solution is obtained. Unknown parameters in the proposed solution are determined by using a numerical method. The column is assumed to be an inextensible and the Euler-Bernoulli beam hypotheses are used. The proposed solution is validated by comparing the results obtained with available data in the literature. Furthermore, by using the proposed solution, the post-buckling behaviour of various columns with geometry or material discontinuities is investigated.



中文翻译:

简支多步柱屈曲后分析的半解析解决方案

在本文中,开发了半分析解决方案来预测由任意数量的段组成的简单支撑柱的屈曲后构型。利用变形柱的几何关系和平衡关系推导非线性控制方程,得到封闭形式的解。建议的解决方案中的未知参数通过使用数值方法确定。假定该列是不可扩展的,并且使用了Euler-Bernoulli梁假设。通过将获得的结果与文献中的可用数据进行比较,可以验证所提出的解决方案。此外,通过使用提出的解决方案,研究了具有几何形状或材料不连续性的各种圆柱的后屈曲行为。

更新日期:2020-07-18
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