[1] Zeng Sen, Chen Shaofeng, Wang Huanding, Qu Ting, et al. Finite element analysis of spatial curved beam in large deformation [J]. Journal of Southeast University (English Edition), 2010, 26 (4): 591-596. [doi:10.3969/j.issn.1003-7985.2010.04.019]

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Finite element analysis of spatial curved beam in large deformation()

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Journal of Southeast University (English Edition)[ISSN:1003-7985/CN:32-1325/N]

Volumn:

26

Issue:

2010 4

Page:

591-596

Research Field:

Mathematics, Physics, Mechanics

Publishing date:

2010-12-30

Info

Title:

Finite element analysis of spatial curved beam in large deformation

Author(s):

Zeng Sen¹;  Chen Shaofeng²;  Wang Huanding¹;  Qu Ting¹

¹ School of Civil Engineering, Harbin Institute of Technology, Harbin 150090, China
² School of Science and Engineering on Communications, Harbin Institute of Technology, Harbin 150090, China

Keywords:

spatial curved beams;  total Lagrangian incremental formulation;  updated Lagrangian incremental formulation;  geometrical nonlinearity;  isoparametric curve

PACS:

O342

DOI:

10.3969/j.issn.1003-7985.2010.04.019

Abstract:

For the purpose of carrying out the large deformation finite element analysis of spatial curved beams, the total Lagrangian(TL)and the updated Lagrangian(UL)incremental formulations for arbitrary spatial curved beam elements are established with displacement vector interpolation, which is improved from component interpolation of the straight beam displacement. A strategy of replacing the actual curve with the isoparametric curve is used to expand the applications of the UL formulation. The examples indicate that the process of establishing the curved beam element is correct, and the accuracy with the curved beam element is obviously higher than that with the straight beam element. Generally, the same level of computational accuracy can be achieved with 1/5 as many curved beam elements as otherwise with straight beam elements.

References:

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[10] Teh L H, Clarke M J. Corotational and Lagrangian formulations for elastic three-dimensional beam finite elements [J]. Journal of Constructional Steel Research, 1998, 48(2/3): 123-144.
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Memo

Memo:

Biographies: Zeng Sen(1983—), male, graduate;Wang Huanding(corresponding author), male, professor, hdwhrb@hit.edu.cn.
Foundation item: The Major Research Plan of the National Natural Science Foundation of China(No.90715021).
Citation: Zeng Sen, Chen Shaofeng, Wang Huanding, et al. Finite element analysis of spatial curved beam in large deformation[J].Journal of Southeast University(English Edition), 2010, 26(4):591-596.

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