Finite Element Analysis of Curved Beam Elements Employing Trigonometric Displacement Distribution Patterns

Author:

Cao Hengtao1,Chen Daihai1,Zhang Yunsen1ORCID,Wang Hexiang1,Chen Huai1

Affiliation:

1. School of Civil Engineering, Zhengzhou University, Zhengzhou 450001, China

Abstract

A finite element analysis (FEA) model was developed for Euler and Timoshenko curved beam elements by incorporating trigonometric displacement distribution patterns. Local polar coordinate stiffness matrices were derived based on force-displacement relations and static equilibrium conditions. By employing the kinetic energy theorem and triangular displacement functions, an expression for the consistent mass matrix of a curved beam element was obtained. A coordinate transformation matrix for the curved beam element was established by relating the local polar coordinate system to the global polar coordinate system. Calculation programs were implemented in the Fortran language to evaluate the static–dynamic performance and natural frequency characteristics of curved beam bridges. The obtained results were then compared with those obtained using ANSYS solid models and “replace curve with straight” beam element models. The comparison demonstrated a strong agreement between the results of the Euler and Timoshenko curved beam element models and those of the ANSYS solid models. However, discrepancies were observed when comparing with the results of the “replace curve with straight” beam element model, particularly in terms of lateral static displacement. This discrepancy suggests that the characteristic matrix derived in this study accurately represents the stiffness and mass distribution of the curved beam, making it suitable for mechanical performance analysis of curved beam bridges. It should be noted that the “replace curve with straight” method overlooks the initial curvature and the bending–torsion coupling effects of a curved beam, resulting in calculation deviations. On the other hand, the use of curved beam elements in numerical analysis provides a simple and practical approach, which facilitates further research in areas such as vehicle–bridge coupling vibrations and seismic analysis of curved beam bridges.

Funder

National Natural Science Foundation of China

China Postdoctoral Science Foundation

Program of the Department of Transportation of Henan Province

Publisher

MDPI AG

Subject

Building and Construction,Civil and Structural Engineering,Architecture

Reference24 articles.

1. Zhou, L., Liu, Z., Yan, X., and Li, Q. (2018). Design Theory and Analytical Methods for Curved Beam Bridge Structures, People’s Communications Press.

2. An isogeometric Timoshenko curved beam element with an enhanced representation of concentrated loads;Edita;Comput. Struct.,2022

3. An efficient mixed interpolated curved beam element for geometrically nonlinear analysis;Masoodi;Appl. Math. Model.,2019

4. A Simple and Efficient Three-Node Curved Beam Element for the Out-of-Plane Shear, Bending and Torsion, Based on the Linked Interpolation Concept;Dragan;Trans. Famena,2021

5. Zhang, Z. (2014). Theoretical Research and Application of Qu-Liang Element in Bridges. [Master’s Thesis, Changsha University of Science and Technology].

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