High-height columns become more economically viable when designed with thin-walled open cross-sections. For such structural release, there is the occurrence of the flexion-torsion phenomenon and the evident loss of lateral stiffness, which can be reduced with the presence of bracing by lintels spaced at height. In the case of road bridges and overhead cranes, there is a low traffic speed, characterizing internal forces that allow the use of cross-sections folded into C and Z-shaped sheet metal, as well as double-T-shaped welded metal sections. In this sense, this paper is intended to contribute to the advancement of the Continuous Medium Technique (CMT) formulation through the Wall Panel Theory (WPT) applied to the thin-walled columns. Through the WPT applied to thin-walled sections, it is possible to express the system of differential equations of the static problem, characterizing the rigidity of the core column via matrix [J] and bracing by matrix [S]. In item 2.3, the inclusion of the dynamic portion in the WPT is performed, thus providing the determination and characterization of the first seven vibration modes of the abovementioned column. Finally, this paper provides the structural engineer with a manual verification tool (via CMT) of static or dynamic modeling for thin-walled columns using commercial software. In this paper we used software ANSYS 2019 R1 (student version) for such numerical checks and validations.

中文翻译：

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具有开口薄壁截面的金属柱的动态建模

当设计有薄壁开口截面时，高高度柱在经济上变得可行。对于这种结构释放，会发生屈曲-扭曲现象和明显的侧向刚度损失，如果存在通过间隔一定高度的过梁支撑的情况，则可以减少这种损失。在公路桥梁和高架起重机的情况下，通行速度很慢，其内力的特征是允许使用折叠成C和Z形金属薄板的截面以及双T形焊接金属截面。从这个意义上讲，本文旨在通过适用于薄壁色谱柱的壁板理论（WPT）为连续介质技术（CMT）的制定做出贡献。通过将WPT应用于薄壁型材，可以表达静态问题的微分方程组，通过矩阵[J]表征芯柱的刚度，并通过矩阵[S]表征支撑柱的刚度。在第2.3项中，将动态部分包含在WPT中，从而确定和表征上述列的前七个振动模式。最后，本文使用商业软件为结构工程师提供了用于薄壁柱静态或动态建模的手动验证工具（通过CMT）。在本文中，我们使用软件ANSYS 2019 R1（学生版）进行此类数字检查和验证。因此，可以确定和表征上述色谱柱的前七个振动模式。最后，本文为结构工程师提供了使用商用软件对薄壁柱进行静态或动态建模的手动验证工具（通过CMT）。在本文中，我们使用软件ANSYS 2019 R1（学生版）进行此类数字检查和验证。因此，可以确定和表征上述色谱柱的前七个振动模式。最后，本文为结构工程师提供了使用商用软件对薄壁柱进行静态或动态建模的手动验证工具（通过CMT）。在本文中，我们使用软件ANSYS 2019 R1（学生版）进行此类数字检查和验证。