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Chen Changhong, Huang Ying, Shan Jian. THE PRE- TWISTED THIN- WALLED BEAM ELEMENT STIFFNESS MATRIX CONSIDERING THE SAINT- VENANT WARPING DEFORMATION[J]. INDUSTRIAL CONSTRUCTION, 2012, 42(4): 60-64. doi: 10.13204/j.gyjz201204013
Citation: Chen Changhong, Huang Ying, Shan Jian. THE PRE- TWISTED THIN- WALLED BEAM ELEMENT STIFFNESS MATRIX CONSIDERING THE SAINT- VENANT WARPING DEFORMATION[J]. INDUSTRIAL CONSTRUCTION, 2012, 42(4): 60-64. doi: 10.13204/j.gyjz201204013

THE PRE- TWISTED THIN- WALLED BEAM ELEMENT STIFFNESS MATRIX CONSIDERING THE SAINT- VENANT WARPING DEFORMATION

doi: 10.13204/j.gyjz201204013
  • Received Date: 2011-11-23
  • Publish Date: 2012-04-20
  • Based on the traditional mechanical model of thin-walled straight beam,it is conducted a systematic analysis and research on the pre-twisted thin-walled beam finite element numerical model. Firstly,based on the geometric deformation differential relationship,it is deduced the pre-twisted thin-walled beam Saint-Venant warping strain. According to traditional thin-walled straight beam finite element mechanical model,it is also established its finite element stiffness matrix considering the Saint-Venant warping deformations. Finally,by calculating the pre- twisted elliptical section beam example,and contrasting three-dimensional solid finite element using ANSYS,the comparative analysis results show that pre-twisted thin-walled beam element stiffness matrix considering Saint-Venant warping deformation has a good accuracy.
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