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Applied Mathematics and Mechanics (English Edition) ›› 2010, Vol. 31 ›› Issue (09): 1141-1152.doi: https://doi.org/10.1007/s10483-010-1349-7

• Articles • 上一篇    下一篇

A new finite element of spatial thin-walled beams

王晓峰1 张其林1 杨庆山2   

  1. 1. College of Civil Engineering, Tongji University, Shanghai 200092, P. R. China;
    2. School of Civil Engineering, Beijing Jiaotong University, Beijing 100044, P. R. China
  • 收稿日期:2009-11-16 修回日期:2010-07-12 出版日期:2010-09-01 发布日期:2010-09-01

A new finite element of spatial thin-walled beams

WANG Xiao-Feng1, ZHANG Qi-Lin1, YANG Qing-Shan2   

  1. 1. College of Civil Engineering, Tongji University, Shanghai 200092, P. R. China;
    2. School of Civil Engineering, Beijing Jiaotong University, Beijing 100044, P. R. China
  • Received:2009-11-16 Revised:2010-07-12 Online:2010-09-01 Published:2010-09-01

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1155

被引次数

6

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.

Abstract: 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.

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