Open AccessOne-dimensional dynamic model of cold-formed channel beam with deformed cross-section
Author(s) -
Wenxu Ai,
Lei Zhang,
Zijun Zheng,
Shilei Liang
Publication year - 2021
Publication title -
journal of physics. conference series
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 85
eISSN - 1742-6596
pISSN - 1742-6588
DOI - 10.1088/1742-6596/2012/1/012003
Subject(s) - cross section (physics) , discretization , hermite interpolation , beam (structure) , deformation (meteorology) , interpolation (computer graphics) , lagrange polynomial , finite element method , quadratic equation , displacement field , mathematical analysis , mathematics , geometry , physics , structural engineering , hermite polynomials , classical mechanics , engineering , motion (physics) , polynomial , quantum mechanics , meteorology
In this paper, a one - dimensional high order model based on a set of basic deformation modes of cross section is proposed to analyse one-dimensional dynamic model of cold-formed channel beam Considering the Deformable Cross-section. The model considers the displacement field through the linearly superimposing of 36 basis deformation modes, which stem from the discretization of the cross-section into 9 points and 8 segments. The corresponding deformation function is approximated with Hermite Interpolation. The governing equation is deduced from the principle of Hamilton, then use quadratic Lagrange interpolation for finite element realization. Numerical examples have also been presented and the comparison with ANSYS shell model showed its accuracy, efficiency, and applicability in reproducing three-dimensional behaviors of cold-formed channel beam.