论文标题
简单的近似公式，用于重弹性柱的弯曲挠度
Simple approximate formulas for postbuckling deflection of heavy elastic columns
论文作者
论文摘要
柱状屈曲是一种无处不在的现象，在生物和人造物体中都出现，无论长度尺度从宏观到纳米级结构范围如何。通常，分析列的弯曲后行为需要应用复杂的数学方法，因为它涉及非线性问题解决。为了补充这些复杂方法，本研究提出了简单的分析公式，用于在合并载荷下重弹柱的大偏转。分析公式将作用在列的尖端，列自身的重量以及列的偏转角的集中载荷与简单的数学表达式相关联。这可以有助于从应用的角度获得重型柱后弯曲后行为的整体情况。
Columnar buckling is a ubiquitous phenomenon that occurs in both living things and man-made objects, regardless of the length scale ranging from macroscopic to nanometric structures. In general, analyzing the post-buckling behavior of a column requires the application of complex mathematical methods because it involves nonlinear problem solving. To complement these complex methods, this study presents simple analytical formulas for the large deflection of a heavy elastic column under combined loads. The analytical formulas relate the concentrated load acting on the tip of the column, the column's own weight, and the deflection angle of the column through a simple mathematical expression. This can assist in obtaining an overall picture of the post-buckling behavior of heavy columns from an application point of view.
