Elastic Analysis of Arbitrary Thin-Walled Structural Members Based on the Unified Analytical Beam Model With the Finite Nodal Line Method

GONG Yao-qing; SUN Bo; CHEN Xiao-dong

doi:10.3879/j.issn.1000-0887.2015.04.002

Volume 36 Issue 4

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GONG Yao-qing, SUN Bo, CHEN Xiao-dong. Elastic Analysis of Arbitrary Thin-Walled Structural Members Based on the Unified Analytical Beam Model With the Finite Nodal Line Method[J]. Applied Mathematics and Mechanics, 2015, 36(4): 352-361. doi: 10.3879/j.issn.1000-0887.2015.04.002

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Elastic Analysis of Arbitrary Thin-Walled Structural Members Based on the Unified Analytical Beam Model With the Finite Nodal Line Method

doi: 10.3879/j.issn.1000-0887.2015.04.002

School of Civil Engineering, Henan Polytechnic University, Jiaozuo, Henan 454003, P.R.China

Funds: The National Natural Science Foundation of China(51178164)

Received Date: 2014-11-17
Rev Recd Date: 2014-11-21
Publish Date: 2015-04-15

Abstract

Abstract

The traditional thin-walled beam theory is strongly dependent on the slenderness ratio, the shape of its cross section and the load form of a beam. In order to investigate the elastic behaviors of arbitrary thin-walled beams under arbitrary loads, a unified analytical model for all thin-walled structural members, named ‘unified analytical beam’(UAB), and a novel computational methodology titled ‘finite nodal line method’(FNLM) were presented. By means of UAB and FNLM, the elastic analysis of arbitrary thin-walled structural members can be conveniently carried out. Furthermore, when the properties of a beam problem are consistent with the application conditions for the traditional beam theory, an equal-precision solution to the problem will be obtained with both the FNLM and the traditional one. The computational comparison through several beam examples verifies the rationality and correctness of the proposed UAB and FNLM.
- thin-walled beam,
- traditional beam theory,
- unified analytical beam,
- finite nodal line method,
- non-uniform torsion

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References(14)

References

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