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首页> 外文期刊>Journal of Aerospace Sciences and Technologies >THERMAL POSTBUCKLING OF HEATED UNIFORM COLUMNS CONSIDERING GREEN NONLINEARITY: A NOVEL LINEAR FINITE ELEMENT FORMULATION
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THERMAL POSTBUCKLING OF HEATED UNIFORM COLUMNS CONSIDERING GREEN NONLINEARITY: A NOVEL LINEAR FINITE ELEMENT FORMULATION

机译：考虑绿色非线性的加热均匀柱的热后屈曲：一种新型线性有限元公式

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摘要

Thermal postbuckling behavior of uniform, heated columns is presented, by using a novel linear Finite Element (FE) formulation. In this investigation, the general Green axial nonlinear strain- displacement relation is used, instead of the popularly used simpler von-Karman nonlinearity, which is a subset of Green nonlinearity. In the earlier complex nonlinear FE formulations, time consuming iterative or step-by-step methods are used to obtain the solution for thermal postbuckling. In the novel FE formulation, normally used FEs , for performing linear buckling analysis, is proposed to obtain thermal postbuckling loads. The nodal degrees of freedom are deflection and its first derivative with respect to the axial coordinate. The geometric nonlinearity is incorporated through the tensile loads induced, with axially restrained ends of the column, due to large deflections. The effectiveness of the novel FE formulation is demonstrated, from the numerical results obtained, in terms of the ratio of thermal postbuckling to buckling loads, for specified reference deflection and slenderness ratios, of the columns with different boundary conditions. The numerical results reveal some interesting phenomena of thermal postbuckling behavior of columns.
机译：通过使用新颖的线性有限元（FE）公式，给出了均匀加热柱的热后屈曲行为。在这项研究中，使用了一般的格林轴向非线性应变-位移关系，而不是普遍使用的简单的von-Karman非线性，后者是格林非线性的子集。在较早的复杂非线性有限元公式中，使用耗时的迭代或逐步方法来获得热后屈曲的解决方案。在新颖的有限元公式中，提出了用于执行线性屈曲分析的常用有限元以获得热后屈曲载荷。节点自由度是挠度及其相对于轴向坐标的一阶导数。几何非线性是由于大挠度而引起的，在轴向约束的圆柱端部引起的拉伸载荷中并入的。根据获得的数值结果，对于具有不同边界条件的圆柱，在指定的基准挠度和细长比下，根据热后屈曲与屈曲载荷之比，可以证明新型有限元配方的有效性。数值结果揭示了柱子热后屈曲行为的一些有趣现象。

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