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A new finite element of spatial thin-walled beams

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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 thin-walled structures.

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Authors and Affiliations

  1. College of Civil Engineering, Tongji University, Shanghai, 200092, P. R. China

    Xiao-feng Wang  (王晓峰) & Qi-lin Zhang  (张其林)

  2. School of Civil Engineering, Beijing Jiaotong University, Beijing, 100044, P. R. China

    Qing-shan Yang  (杨庆山)

Authors
  1. Xiao-feng Wang  (王晓峰)
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  2. Qi-lin Zhang  (张其林)
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  3. Qing-shan Yang  (杨庆山)
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Corresponding author

Correspondence to Xiao-feng Wang  (王晓峰).

Additional information

Communicated by Li-qun CHEN

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), and the Shanghai Postdoctoral fund (No. 10R21416200)

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Wang, Xf., Zhang, Ql. & Yang, Qs. A new finite element of spatial thin-walled beams. Appl. Math. Mech.-Engl. Ed. 31, 1141–1152 (2010). https://doi.org/10.1007/s10483-010-1349-7

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  • DOI: https://doi.org/10.1007/s10483-010-1349-7

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2000 Mathematics Subject Classification

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