A new finite element of spatial thin-walled beams |
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Authors: | Xiao-feng Wang Qi-lin Zhang Qing-shan Yang |
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Affiliation: | 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 |
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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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Keywords: | spatial beams thin-walled section stiffness matrix shear deformation coupling of flexure and torsion second shear stress |
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