General conditions for the resonance and cancellation of railway bridges under moving train loads
- Authors
- Xin, Lifeng; Mu, Di; Choi, Dong-Ho; Li, Xiaozhen; Wang, Fusheng
- Issue Date
- Jan-2023
- Publisher
- ACADEMIC PRESS LTD- ELSEVIER SCIENCE LTD
- Keywords
- Railway bridge; Moving load; Resonance; Cancellation; General condition
- Citation
- MECHANICAL SYSTEMS AND SIGNAL PROCESSING, v.183, pp.1 - 21
- Indexed
- SCIE
SCOPUS
- Journal Title
- MECHANICAL SYSTEMS AND SIGNAL PROCESSING
- Volume
- 183
- Start Page
- 1
- End Page
- 21
- URI
- https://scholarworks.bwise.kr/hanyang/handle/2021.sw.hanyang/185392
- DOI
- 10.1016/j.ymssp.2022.109589
- ISSN
- 0888-3270
- Abstract
- The objective of this paper is to elucidate the general conditions of resonance and cancellation for Bernoulli-Euler beam-based bridges subject to moving train loads. Firstly, the bridge's vibration shape is approximated based on the modal superposition method and Fourier series expansion. Then, the semi-analytical solution of the bridge vibrations under moving train loads is derived. After that, the general conditions of train-induced bridge resonance and cancellation are further derived, analyzed, and classified. In particular, cancellation is divided into three classes: case 1, case 2-I, and case 2-II. It is found that the resonance condition for simply-supported bridges is applicable to arbitrary Bernoulli-Euler beam-based bridges, while the cancellation conditions are related to the cancellation classes and modal characteristics of bridges. Finally, three examples are used to validate the semi-analytical solution of bridge vibrations as well as the general conditions of resonance and cancellation, including a simply-supported bridge, a continuous-beam bridge, and a long-span extradosed cable-stayed bridge. Besides, these examples show that for simply-supported bridges, both the resonance and cancellation should be considered, while for bridges with a long-span length or low fundamental frequencies, cancellation is more significant than resonance.
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