An Approach to Quantifying the Distribution of Resonance and Cancellation Train Speeds of Railway Bridges with Random Uncertainties
Publication: ASCE-ASME Journal of Risk and Uncertainty in Engineering Systems, Part A: Civil Engineering
Volume 10, Issue 3
Abstract
Resonance and cancellation phenomena are fundamental scientific topics in the field of train–bridge interactions. Prior studies have explained their underlying mechanisms and consequential effects. This paper re-examined the two phenomena from a random perspective and delineated them as random resonance and random cancellation. Subsequently, a practical framework is proposed to quantify the probability distributions of train speeds that induce the resonance and cancellation in railway bridges considering random uncertainties. The proposed framework incorporates the input parameter design, stochastic modal analysis, modal identification, and sparse polynomial chaos expansion (PCE). In the modal identification, a novel indicator was developed which aids in identifying modal shapes and constructing eigenpairs involving eigenvalues and modal shapes. The framework’s validity and efficiency were confirmed using three bridge examples: a simply supported bridge, a continuous beam bridge, and a long-span cable-stayed bridge. The results show that the critical speeds for the resonance and cancellation exhibit significant variabilities. This work is expected to provide some reference for determining reasonable train operation speeds and optimizing railway bridge design.
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Data Availability Statement
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 supported by the National Natural Science Foundation of China (Grant No. 52208445), the Fundamental Research Funds for the Central Universities (Grant No. G2021KY05105), and the Natural Science Basic Research Program of Shaanxi Province (Grant No. 2022JQ-369).
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Information
Published In
ASCE-ASME Journal of Risk and Uncertainty in Engineering Systems, Part A: Civil Engineering
Volume 10 • Issue 3 • September 2024
Copyright
© 2024 American Society of Civil Engineers.
History
Received: Nov 29, 2023
Accepted: Jan 25, 2024
Published online: May 6, 2024
Published in print: Sep 1, 2024
Discussion open until: Oct 6, 2024
ASCE Technical Topics:
- Bridge engineering
- Bridge management
- Bridge-vehicle interaction
- Bridges
- Bridges (by type)
- Cable stayed bridges
- Continuum mechanics
- Dynamics (solid mechanics)
- Engineering mechanics
- Infrastructure
- Motion (dynamics)
- Oscillations
- Rail transportation
- Railroad bridges
- Railroad trains
- Resonance
- Skew bridges
- Solid mechanics
- Span bridges
- Structural engineering
- Transportation engineering
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