A DIRECT ONE-DIMENSIONAL BEAM MODEL FOR THE FLEXURAL-TORSIONAL BUCKLING OF THIN-WALLED BEAMS
A DIRECT ONE-DIMENSIONAL BEAM MODEL FOR THE FLEXURAL-TORSIONAL BUCKLING OF THIN-WALLED BEAMS
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薄壁梁弯扭屈曲的直接一维梁模型
DOI：
10.2140/jomms.2006.1.1479
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发表时间：
2006
影响因子：
0.9
通讯作者：
N. Rizzi
中科院分区：
文献类型：
--
作者：
G. Ruta;M. Pignataro;N. Rizzi
在本文中，直接一维梁模型介绍了作者之一，改进，以考虑非对称梁截面。两个不同的梁轴被认为是，和应变描述相对于两者。假设两个内部约束：横截面和两个轴中的一个之间的剪切应变为零，以及横截面的翘曲和扭曲之间的线性关系。考虑一级力学理论和非线性超弹性本构关系，平衡的权力，和标准的本地化和静态扰动程序导致适合描述弯扭屈曲的场方程。给出了一些算例，以确定初始压缩梁的临界载荷，并评估其后屈曲性能。
In this paper, the direct one-dimensional beam model introduced by one of the authors is refined to take into account nonsymmetrical beam cross-sections. Two different beam axes are considered, and the strain is described with respect to both. Two inner constraints are assumed: a vanishing shearing strain between the cross-section and one of the two axes, and a linear relationship between the warping and twisting of the cross-section. Considering a grade one mechanical theory and nonlinear hyperelastic constitutive relations, the balance of power, and standard localization and static perturbation procedures lead to field equations suitable to describe the flexural-torsional buckling. Some examples are given to determine the critical load for initially compressed beams and to evaluate their post-buckling behavior.