The Finite Element Model Study of the Pre-Twisted Euler Beam

Ying Huang; Chang Hong Chen; Jian Shan

doi:10.4028/www.scientific.net/AMR.446-449.3615

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HomeAdvanced Materials ResearchAdvanced Materials Research Vols. 446-449The Finite Element Model Study of the Pre-Twisted...

The Finite Element Model Study of the Pre-Twisted Euler Beam

Abstract:

Based on the traditional mechanical model of straight beam, the paper makes a systematic analysis and research on the pre-twisted Euler beam finite element numerical model. The paper uses two-node model of 12 degrees of freedom, axial displacement interpolation function using 2-node Lagrange interpolation function, beam transverse bending displacements (u and υ) still use the cubic displacement, bending with torsion angle displacement function using cubic polynomial displacement function. Firstly, based on the author previous literature on the flexure strain relationship, the paper deduces the element stiffness matrix of the pre-twisted beam. Finally, by calculating the pre-twisted rectangle section beam example, and contrasting three-dimensional solid finite element using ANSYS, the comparative analysis results show that pre-twisted Euler beam element stiffness matrix has good accuracy.

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Periodical:

Advanced Materials Research (Volumes 446-449)

Pages:

3615-3618

DOI:

https://doi.org/10.4028/www.scientific.net/AMR.446-449.3615

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Online since:

January 2012

Authors:

Ying Huang, Chang Hong Chen, Jian Shan

Keywords:

ANSYS, Euler Beam, Finite Element, Pre-Twisted, Stiffness Matrix

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