Journal
INTERNATIONAL JOURNAL OF STRUCTURAL STABILITY AND DYNAMICS
Volume 20, Issue 2, Pages -Publisher
WORLD SCIENTIFIC PUBL CO PTE LTD
DOI: 10.1142/S021945542050025X
Keywords
Karhunen-Loeve expansion; point estimate method; train-bridge interaction; random irregularity; Monte Carlo simulation
Categories
Funding
- National Natural Science Foundation of China [51778630, 11972379]
- Hunan Innovative Provincial Construction Project [2019RS3009]
- Central South University [502045006, 502390001]
- Hunan 100-Talent Plan [420030004]
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This paper presents a new method for analyzing the dynamic behavior of train-bridge systems with random rail irregularity aimed at its simplicity, efficiency and accuracy. A vertical train-bridge system is considered, in which the bridge is regarded as a series of simply supported beams, and the train is regarded as a multibody system with suspensions. The Karhunen-Loeve expansion (KLE) is used to simulate the stochastic vertical rail irregularities, and the mean and standard deviation of the system response are calculated by the point estimate method (PEM), based on the Gaussian integration and the dimension reduction method. The proposed KLE-PEM method, which combines the key features of the KLE and PEM, is validated by comparing the results obtained with existing ones. The Monte Carlo simulation (MCS) is used U to verify the rationality of the results obtained by the KLE-PEM approach. The results show that the KLE-PEM approach can accurately calculate the response of the vertical train-bridge interaction system with random irregularity. This paper further discusses the responses of the train and bridge system with different speeds for the train.
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