Dynamic Modeling of Metal Columns with Open Thin-Walled Sections

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.

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