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首页> 外文期刊>International journal of steel structures >A Unified Theory for Distortion Analysis of Thin-Walled Hollow Sections
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A Unified Theory for Distortion Analysis of Thin-Walled Hollow Sections

机译：薄壁空心截面变形分析的统一理论

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摘要

A novel unified theory for distortion analysis of thin-walled hollow section has been proposed based on the Hellinger-Reissner variational principle to account for distortional shear deformation effects. Based on the proposed theory, a finite segment model has been developed and the method for determining the distortion functions of the cross-section has been proposed. The rationality of approaches for determining distortional shear stress has been analysed and it is concluded that Bredt's pure distortion does not exist in the single-cell hollow section. Comparisons and analyses have been performed between the proposed theoretical model and the existing four groups of theories in distortion analysis of thin-walled hollow section. Effectsof distortional warping shear stress on the shear deformation has been investigated and the results indicate that the distortional shear deformation effect results in a decrease of the distortional warping stresses and shear stresses but an increase of the transverse bending stresses. The numerical study indicates that the distortional shear deformation effects can be ignored and the first derivative of the distortion angle can be employed as the distortional warping function for the conventional hollow sections of bridge structures.
机译：基于Hellinger-Reissner变分原理，提出了一种新颖的薄壁空心截面变形分析统一理论，以解决变形剪切变形的影响。基于提出的理论，建立了有限段模型，提出了确定截面变形函数的方法。分析了确定变形剪切应力的方法的合理性，并得出结论，在单单元空心截面中不存在Bredt的纯变形。在薄壁空心截面变形分析中，所提出的理论模型与现有的四组理论进行了比较和分析。研究了变形翘曲剪应力对剪切变形的影响，结果表明，变形翘曲变形效应导致变形翘曲应力和剪应力减小，但横向弯曲应力增大。数值研究表明，可以忽略变形剪切变形的影响，并且可以将变形角的一阶导数用作桥梁结构常规空心截面的变形翘曲函数。

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