Fuzzy Dynamic Responses of Train–Bridge Coupled System Based on Information Entropy
Publication: Journal of Engineering Mechanics
Volume 150, Issue 11
Abstract
In the analysis of a train–bridge coupled system, fuzzy uncertainty is a factor that must be considered in the prediction of coupled vibration response, but it has not been considered so far. In this work, the concept of information entropy is used to unify the fuzzy uncertainty and random variables into the train–bridge coupled system, and the fuzzy random train–bridge coupled system is established. The fuzzy dynamic response of trains and bridges with fuzzy parameters of the bridge structures and the mass of the carriage were studied, and the mean and variance of the response quantities were calculated using the new point estimation method (NPEM). The combined effect of the fuzziness is considered and the fuzzy value of the system dynamics is obtained. The feasibility of applying this method to train–bridge problems was verified. The calculation results indicated that the maximum amplitude of the fuzzy vertical displacement of the bridge exceeded the conventional vertical displacement by 25.57%, and the maximum amplitude of the fuzzy vertical acceleration of the train exceeded the conventional vertical acceleration by 23.42%. Obviously, in this case, the traditional deterministic calculation method cannot comprehensively and accurately analyze the dynamic response of the train–bridge system. The method in this paper can provide theoretical guidance for evaluating the safety of bridge structures and running safety research in the future.
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Data Availability Statement
Some or all data, models, or code that support the findings of this study are available from the corresponding author upon reasonable request.
Acknowledgments
This work was funded by the Key R&D Projects of Hunan Province (No. 2024AQ2018), the 2023 Hunan Province Transportation Science and Technology Progress and Innovation Project (202305), the Henan Province Science and Technology Key Research Project (242102521034), the Hunan Provincial Natural Science Foundation Project (No. 2024JJ9067), the Key Scientific Research Project of Hunan Provincial Department of Education, Project (21A0073), the Taishan Program (tsqn202306278), the China Railway Corporation Limited Science and Technology Research and Development Program (2022-major-17), the Science and Technology Research and Development Program Project of China Railway Group Limited (2020-Key-02), and the Science and Technology Research and Development Program Project of China Railway Group Limited (Major special project, No. 2022-Special-09).
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Published In
Journal of Engineering Mechanics
Volume 150 • Issue 11 • November 2024
Copyright
© 2024 American Society of Civil Engineers.
History
Received: Jan 8, 2024
Accepted: Jun 12, 2024
Published online: Aug 26, 2024
Published in print: Nov 1, 2024
Discussion open until: Jan 26, 2025
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