New Finite Element of Spatial Thin-Walled Beams

WANG Xiao-feng; ZHANG Qi-lin; YANG Qing-shan

doi:10.3879/j.issn.1000-0887.2010.09.009

Volume 31 Issue 9

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WANG Xiao-feng, ZHANG Qi-lin, YANG Qing-shan. New Finite Element of Spatial Thin-Walled Beams[J]. Applied Mathematics and Mechanics, 2010, 31(9): 1089-1100. doi: 10.3879/j.issn.1000-0887.2010.09.009

Citation:

WANG Xiao-feng, ZHANG Qi-lin, YANG Qing-shan. New Finite Element of Spatial Thin-Walled Beams[J]. Applied Mathematics and Mechanics, 2010, 31(9): 1089-1100. doi: 10.3879/j.issn.1000-0887.2010.09.009

Citation:

WANG Xiao-feng, ZHANG Qi-lin, YANG Qing-shan. New Finite Element of Spatial Thin-Walled Beams[J]. Applied Mathematics and Mechanics, 2010, 31(9): 1089-1100. doi: 10.3879/j.issn.1000-0887.2010.09.009

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New Finite Element of Spatial Thin-Walled Beams

doi: 10.3879/j.issn.1000-0887.2010.09.009

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

Received Date: 1900-01-01
Rev Recd Date: 2010-07-21
Publish Date: 2010-09-15

Abstract

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 was 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 were all considered.According to the generalized variational theory of Hellinger-Reissner,the element stiffness matrix was deduced.Examples manifest that the developed model is accurate and can be applied in the finite element analysis of thin-walled structures.
- spatial beams,
- thin-walled section,
- stiffness matrix,
- shear deformation,
- coupling of flexure and torsion,
- second shear stress

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References(20)

References

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