An improved model for naturally curved and twisted composite beams with closed thin-walled sections

An improved model for naturally curved and twisted composite beams with closed thin-walled sections
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封闭薄壁截面自然曲扭组合梁的改进模型

DOI:
10.1016/j.compstruct.2011.03.020
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发表时间:
2011-08
影响因子:
6.3
通讯作者:
Yang, X. G.
Yang, X. G.
中科院分区:
工程技术1区
文献类型:
--
作者:
Yu, A. M.;Yang, J. W.;Nie, G. H.;Yang, X. G.

文献摘要

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本文提出了一种改进的封闭薄壁截面自然弯曲和扭曲各向异性梁模型。通过引入特征翘曲函数并在一系列特征翘曲中展开轴向位移,利用最小势能原理可以推导出广义翘曲坐标微分方程和特征值表达式。模型中考虑了梁的初始曲率、扭转以及与扭转相关的翘曲、横向剪切变形和弹性耦合等因素的影响。作为应用,采用该模型对封闭薄壁组合箱梁进行了分析。与现有的实验观察和数值结果的比较表明,该模型对于分析这种自然弯曲和扭曲的梁是有效的。
This paper presents an improved model for naturally curved and twisted anisotropic beams with closed thin-walled cross-sections. By introducing eigenwarping functions and expanding axial displacements in series of eigenwarpings, the differential equation involving the generalized warping coordinate and the expression for eigenvalues can be derived using the principle of minimum potential energy. In the model the effects of some factors such as the initial curvature, torsion of the beams as well as torsion-related warping, transverse shear deformations and elastic coupling are incorporated. As an application, the present model is adopted to do an analysis for closed thin-walled composite box beams. Comparison with the existing experimental observation and numerical results shows that the proposed model is valid for analyzing such naturally curved and twisted beams.
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