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.
[7] Petrov E,Geradin M. Finite Element Theory for Curved andTwisted Beams Based on Exact Solutions for Three DimensionalSolids [J]. Computer Methods in Applied Mechanics andEngineering,1998 (165): 43-127.
[8] Zupan D,Saje M. OnA proposed Standard Set of Problems to Test Finite Element Accuracy: the Twisted Beam [J]. Finite Elements in Analysis and Design,2004(40):1445-1451.
[9] Yardimoglu B,Yildirim T. Finite Element Model for Vibration Analysis of Pre-Twisted Timoshenko Beam [J]. Journal of Soundand Vibration,2004,273: 741-754.