A new finite element of spatial thin-walled beams  

作　　者：王晓峰 张其林 杨庆山 

机构地区：[1]College of Civil Engineering,Tongji University [2]School of Civil Engineering,Beijing Jiaotong University

出　　处：《Applied Mathematics and Mechanics(English Edition)》2010年第9期1141-1152,共12页应用数学和力学（英文版）

基　　金：Project supported by the National Natural Science Foundation of China(No.50725826);the National Science and Technology Support Program(No.2008BAJ08B06);the National Technology Research and Development Program(No.2009AA04Z420);the Shanghai Postdoctoral fund (No.I0R21416200)

摘　　要：Based on the theories of Timoshenko＇s beams and Vlasov＇s thin-walled members, a new spatial thin-walled beam element with an interior node is developed. By independently interpolating bending angles and warp, factors such as transverse shear deformation, torsional shear deformation and their Coupling, coupling of flexure and torsion, and second shear stress are considered. According to the generalized variational theory of Hellinger-Reissner, the element stiffness matrix is derived. Examples show that the developed model is accurate and can be applied in the finite element analysis of thinwalled structures.Based on the theories of Timoshenko＇s beams and Vlasov＇s thin-walled members, a new spatial thin-walled beam element with an interior node is developed. By independently interpolating bending angles and warp, factors such as transverse shear deformation, torsional shear deformation and their Coupling, coupling of flexure and torsion, and second shear stress are considered. According to the generalized variational theory of Hellinger-Reissner, the element stiffness matrix is derived. Examples show that the developed model is accurate and can be applied in the finite element analysis of thinwalled structures.

关 键 词：spatial beams thin-walled section stiffness matrix shear deformation coupling of flexure and torsion second shear stress 

分 类 号：TU33[建筑科学—结构工程]