Abstract
There is always some randomness in the material properties of a structure due to several circumstances and ignoring it increases the threat of inadequate structural safety reserves. A numerical approach is used in this study to consider the spatial variability of structural parameters. Statistical moments of the train and bridge responses were computed using the point estimation method (PEM), and the material characteristics of the bridge were set as random fields following Gaussian random distribution, which were discretized using Karhunen-Loève expansion (KLE). The following steps were carried out and the results are discussed herein. First, using the stochastic finite element method (SFEM), the mean value and standard deviation of dynamic responses of the train-bridge system (TBS) were examined. The effectiveness and accuracy of the computation were then confirmed by comparing the results to the Monte-Carlo simulation (MCS). Next, the influence of the train running speed, bridge vibration frequency, and span of the bridge on dynamic coefficient and dynamic response characteristics of resonance were discussed by using the SFEM. Finally, the lowest limit value of the vibration frequency of the simple supported bridges (SSB) with spans of 24 m, 32 m, and 40 m are presented.
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Acknowledgement
The work described in this study is supported by grants from the Open Fund of Hunan International Scientific and Technological Innovation Cooperation Base of Advanced Construction and Maintenance Technology of Highway (Changsha University of Science and Technology) Project Number kfj210803, National Natural Science Foundation of China (Grant Nos. U1934207 and 11972379) and Fujian University of Technology (GY-Z21181).
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Supported by: Open Fund of Hunan International Scientific and Technological Innovation Cooperation Base of Advanced Construction and Maintenance Technology of Highway (Changsha University of Science and Technology) Project Number kfj210803, National Natural Science Foundation of China under Grant Nos. U1934207 and 11972379, and Fujian University of Technology under Grant No. GY-Z21181
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Xiang, P., Yan, W., Jiang, L. et al. Resonance analysis of a high-speed railway bridge using a stochastic finite element method. Earthq. Eng. Eng. Vib. 22, 1015–1030 (2023). https://doi.org/10.1007/s11803-023-2217-5
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DOI: https://doi.org/10.1007/s11803-023-2217-5