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首页> 外文期刊>Applied Mechanics and Engineering >MODELLING OF AN IMPERFECT COLUMN HAVING VARIABLE CROSS-SECTIONS AND NON-SYMMETRIC RESPONSES IN TENSION AND COMPRESSION
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MODELLING OF AN IMPERFECT COLUMN HAVING VARIABLE CROSS-SECTIONS AND NON-SYMMETRIC RESPONSES IN TENSION AND COMPRESSION

机译：具有不均匀横截面和非对称响应的不理想柱的建模

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摘要

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 powerfur 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.
机译：假定圆柱体材料在拉伸和压缩方面均具有非对称响应，则可以对具有可变矩形横截面的圆柱体的行为进行建模。为此，已经设计了一种基于有限差分技术的powerfur数值方案，并用于跟踪具有高度非线性应力-应变曲线的柱的荷载-挠度曲线（平衡配置路径），该曲线非非线性。拉伸和压缩对称。由这些载荷-挠度曲线确定了临界载荷的出现，该临界载荷的出现导致挠度的极大增加，载荷参数无限增加。所设计的方法可用于计算具有材料和几何非线性的任何圆柱的屈曲载荷。为了使研究更加现实，已经包括了初始形状缺陷，并且还详细讨论了其对色谱柱响应的影响。比较结果表明，基于设计的数值方案的结果与针对特定案例和其他可用研究的实验所获得的结果之间具有良好的一致性。

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