Thin-walled beam applications for structural analysis software

薄壁杆件是结构工程中经常遇到的问题。例子包括高层建筑中的大多数钢构件和混凝土剪力墙。这种结构元件表现出复杂的结构响应（即，全局和局部翘曲以及扭曲）。 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获，尽管它们可以使用三维壳有限元分析成功捕获。然而，所涉及的建模和计算工作使得这种方法对于常规设计是不切实际的。 因此，拟议的研究旨在提供一个家庭的易于使用的一维有限元解决方案的分析和设计的薄壁构件。所寻求的解决方案旨在保持一维梁单元的简单性，同时捕获薄壁梁的复杂三维行为特征。 在此背景下，本课题主要针对以下三个方面的应用进行研究：（1）薄壁构件受扭时的静动力分析（2）薄壁梁组合体的侧扭屈曲分析（3）带剪力墙的高层不对称建筑物在侧向荷载作用下的静动力分析和自由振动分析（4）薄壁构件的抗扭屈曲分析（5）薄壁构件的抗扭屈曲分析（6）薄壁构件的抗扭屈曲分析（7）薄壁构件的抗扭屈曲分析（8）薄壁构件的抗扭屈曲分析（9）薄壁构件的抗扭屈曲分析（10）薄壁构件的抗扭屈曲分析（10）薄壁构件的抗扭屈曲分析（11）薄壁构件的抗扭屈曲分析（12）薄壁构件的抗扭屈曲分析（13）带剪力墙的高层不对称建筑物在侧向荷载作用下的静动力分析和自由振动分析（14）薄壁构件的抗扭屈曲分析（11）薄壁构件的抗扭屈曲分析（12）薄壁构件的抗扭屈曲分析（13）带剪力墙的高层不对称建筑物在侧向荷载作用下的静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组件分析和设计工具。

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.******