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

• Published in: Structural engineering and mechanics pp. 41 - 53
• Main Authors: Shiping Huang, Huijian Zhang, Piaohua Chen, Yazhi Zhu, Enrique Zuazua
• Format: Journal Article
• Language: English
• Published: 국제구조공학회 10-04-2022
• Subjects: 토목공학
• ISSN: 1225-4568
• DOI: 10.12989/sem.2022.82.1.041

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. KCI Citation Count: 0