High-Order ThinWalled Curved Beam Elements With the Absolute Nodal Coordinate Formulation

WU Minggang; WANG Yufeng; MA Zhe; SHEN Zhenxing

doi:10.21656/1000-0887.450296

Volume 46 Issue 11

Nov. 2025

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Article Navigation > Applied Mathematics and Mechanics > 2025 > 46(11): 1394-1402

WU Minggang, WANG Yufeng, MA Zhe, SHEN Zhenxing. High-Order ThinWalled Curved Beam Elements With the Absolute Nodal Coordinate Formulation[J]. Applied Mathematics and Mechanics, 2025, 46(11): 1394-1402. doi: 10.21656/1000-0887.450296

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High-Order ThinWalled Curved Beam Elements With the Absolute Nodal Coordinate Formulation

doi: 10.21656/1000-0887.450296

Key Laboratory of Mechanical Reliability for Heavy Equipment and Large Structure of Hebei Province, Yanshan University, Qinhuangdao, Hebei 066004, P.R.China

Funds:

The National Science Foundation of China(11702241)

Received Date: 2024-10-30
Rev Recd Date: 2025-01-06

Available Online: 2025-12-05

Abstract

Abstract

The cross sections of thin-walled curved beams are susceptible to distortion and warping phenomena. To describe the cross-section deformation behaviors under large rotations and deformations, a high-order beam element based on the absolute nodal coordinate formulation was proposed. The global position vector field was constructed with the Taylor series expansion method, and the issue arising from the ambiguous geometrical significance of high-order derivatives was obviated with the increase of the number of transverse nodes in the element. Based upon the nonlinear continuum mechanics theory and the coordinate transformation strategy, the generalized elastic force expression for the thin-walled curved beam element was derived. The accuracy of the proposed thin-walled beam element was validated through comparison with a thin-shell element in ABAQUS.
- thin-walled curved beam,
- higher-order beam theory,
- cross-sectional distortion,
- cross-sectional warping,
- absolute nodal coordinate formulation

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References(22)

References

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