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A new finite element of spatial thin-walled beams

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  • 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 date: 2009-11-16

  Revised date: 2010-07-12

  Online published: 2010-09-01

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.

Cite this article

WANG Xiao-Feng;ZHANG Qi-Lin;YANG Qing-Shan . A new finite element of spatial thin-walled beams[J]. Applied Mathematics and Mechanics, 2010 , 31(09) : 1141 -1152 . DOI: 10.1007/s10483-010-1349-7

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