具有变长刚度的压缩元件平衡形式的稳定性测定

Oleksandr Shkurupiy, P. Mytrofanov, Yuriy Davydenko, M. Hajiyev
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引用次数: 0

摘要

计算复杂建筑结构的最强大的现代方法之一是以离散系统的位移法形式出现的有限元方法,它涉及到创建一个有限元模型,也就是说,将结构分成单独的单元,其中每个单元的位移和应力函数是已知的。在位移法、迭代法和半除法的基础上,提出了考虑刚度变化的端部铰接受压钢筋混凝土柱第一类平衡形式的稳定性计算算法。利用上述方法可以确定第一次分岔处的最小临界载荷或应力及其相应的稳定性损失形式。矩阵形式的使用有助于高阶稳定性损失方程的简化。这种方法可以得到与临界负荷相对应的稳定损失形式。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
COMPRESSED ELEMENTS WITH A VARIABLE IN LENGTH STIFFNESS EQUILIBRIUM FORM STABILITY DETERMINATION
One of the most powerful modern methods of calculating complex building structures is the finite element method in theform of a displacement method for discrete systems, which involves the creation of a finite element model, that is, splittingthe structure into separate elements within each of which the functions of displacements and stresses are known. On the basisof the displacement method and the methods of iterations and half-division, an algorithm for stability calculation of the firstkind equilibrium form of compressed reinforced concrete columns with hinged fixing at the ends, considering the stiffnesschanging has been developed. The use of the above methods enables to determine the minimum critical load or stress at thefirst bifurcation and their stability loss corresponding form. The use of matrix forms contributes to simplification of high order stability loss equation. This approach enables to obtain the form of stability loss that corresponds to the critical load.
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