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Structural Engineering and Mechanics
  Volume 57, Number 3, February10 2016 , pages 389-402
DOI: https://doi.org/10.12989/sem.2016.57.3.389
 


The finite element model research of the pre-twisted thin-walled beam
Chang Hong Chen, Yan Fei Zhu, Yao Yao and Ying Huang

 
Abstract
    Based on the traditional mechanical model of thin-walled straight beam, the paper makes analysis and research on the pre-twisted thin-walled beam finite element numerical model. Firstly, based on the geometric deformation differential relationship, the Saint-Venant warping strain of pre-twisted thin-walled beam is deduced. According to the traditional thin-walled straight beam finite element mechanical model, the finite element stiffness matrix considering the Saint-Venant warping deformations is established. At the same time, the paper establishes the element stiffness matrix of the pre-twisted thin-walled beam based on the classic Vlasov Theory. Finally, by calculating the pre-twisted beam with elliptical section and I cross section and contrasting three-dimensional solid finite element using ANSYS, the comparison analysis results show that pre-twisted thin-walled beam element stiffness matrix has good accuracy.
 
Key Words
    pre-twisted; thin-walled; coupling; warping; finite element model
 
Address
Chang Hong Chen, Yan Fei Zhu, Yao Yao: School of Mechanics and Civil Engineering, Northwestern Polytechnical University, Xi\'an, 710129, China
Ying Huang: School of Civil Engineering, Xi\'an University of Architecture and Technology, Xi\'an, 710055, China
 

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