An energy-based vibration model for beam bridges with multiple constraints

Huang S, Zhang H, Chen P, Zhu Y, Zuazua Iriondo E (2022)

Publication Type: Journal article

Publication year: 2022

Journal

Structural Engineering and Mechanics Techno-press Ltd

Book Volume: 82

Pages Range: 41-53

Journal Issue: 1

DOI: 10.12989/sem.2022.82.1.041

Abstract

We developed an accurate and simple vibration model to calculate the natural frequencies and their corresponding vibration modes for multi-span beam bridges with non-uniform cross-sections. A closed set of characteristic functions of a single-span beam was used to construct the vibration modes of the multi-span bridges, which were considered single-span beams with multiple constraints. To simplify the boundary conditions, the restraints were converted into spring constraints. Then the functional of the total energy has the same form as the penalty method. Compared to the conventional penalty method, the penalty coefficients in the proposed approach can be calculated directly, which can avoid the iteration process and convergence problem. The natural frequencies and corresponding vibration modes were obtained via the minimum total potential energy principle. By using the symmetry of the eigenfunctions or structure, the matrix size can be further reduced, which increases the computational efficiency of the proposed model. The accuracy and efficiency of the proposed approach were validated by the finite element method.

Authors with CRIS profile

Enrique Zuazua Iriondo Lehrstuhl für Dynamics, Control, Machine Learning and Numerics (Alexander von Humboldt-Professur)

Additional Organisation(s)

Lehrstuhl für Dynamics, Control, Machine Learning and Numerics (Alexander von Humboldt-Professur)

Involved external institutions

Tongji University / 同济大学 CN China (CN) South China University of Technology (SCUT) / 华南理工大学 CN China (CN)

How to cite

APA:

Huang, S., Zhang, H., Chen, P., Zhu, Y., & Zuazua Iriondo, E. (2022). An energy-based vibration model for beam bridges with multiple constraints. Structural Engineering and Mechanics, 82(1), 41-53. https://doi.org/10.12989/sem.2022.82.1.041

MLA:

Huang, Shiping, et al. "An energy-based vibration model for beam bridges with multiple constraints." Structural Engineering and Mechanics 82.1 (2022): 41-53.

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