Thin-walled beam applications for structural analysis software

薄壁杆件是结构工程应用中常见的构件。例如，高层建筑中的绝大多数钢构件和混凝土剪力墙。这种结构单元在发生扭转时表现出复杂的结构响应(即整体和局部翘曲以及变形)。在传统的结构工程软件中，翘曲和变形效应不能在一维梁单元中捕捉到，尽管它们可以通过三维壳体有限元分析成功地捕捉到。然而，所涉及的建模和计算工作使得这些方法对于常规设计来说是不现实的。因此，建议的研究旨在为薄壁构件的分析和设计提供一系列易于使用的一维有限元解决方案。所寻求的解决方案旨在保持一维梁单元的简单性，同时捕捉薄壁梁的复杂的三维行为特征。在此背景下，拟议的工作针对三组应用：**(1)薄壁构件在扭转作用下的静力和动力分析**(2)薄壁梁组合构件的横向扭转屈曲分析，以及**(3)带有剪力墙的高层非对称建筑在水平荷载作用下的静力和动力分析以及自由振动分析。**所开发的方法和算法旨在集成到结构工程软件中，为实践工程师提供易于使用和准确的结构构件和构件的分析和设计工具。

Thin-walled members are commonly encountered in structural engineering applications. Examples include the large majority of steel members and concrete shear walls in high-rise buildings. Such structural elements exhibit complex structural response (i.e., global and local warping, and distortion) when exhibiting twist. Warping and distortion effects are not captured in 1D beam elements in conventional structural engineering software, albeit they can be successfully captured using 3D shell finite element analysis. However, the modelling and computational effort involved make such methods impractical for routine designs. The proposed research thus aims at providing a family of easy-to-use 1D finite element solutions for the analysis and design of thin-walled members. The solutions sought are intended to preserve the simplicity of 1D beam elements while capturing the complex 3D behavioral characteristics of thin-walled beams. Within this context, the proposed work targets three sets of applications: **(1) Static and dynamic analyses of thin-walled members under torsion**(2) Lateral torsional buckling analysis of built-up assemblies of thin-walled beams, and **(3) Static and dynamic analyses and free-vibration analysis of high-rise unsymmetrical buildings with shear walls under lateral loads.**The methodologies and algorithms developed are intended to be integrated into structural engineering software to provide practicing engineers easy-to-use and accurate analysis and design tools for structural members and assemblies.******