Wavelet Time-Frequency Analysis on Bridge Resonance in Train-Track-Bridge Interactive System

With the continuous improvement in the operation speed of trains, the impact of train–induced vibration through the track on the bridge is increasingly prominent. In particular, when the loading frequency is the same as or close to the natural frequency of the bridge, the resonant response of the br...

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Main Authors: Zhaozhi Wu, Nan Zhang, Jinbao Yao, Vladimir Poliakov
Format: Article
Language:English
Published: MDPI AG 2022-06-01
Series:Applied Sciences
Subjects:
Online Access:https://www.mdpi.com/2076-3417/12/12/5929
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author Zhaozhi Wu
Nan Zhang
Jinbao Yao
Vladimir Poliakov
author_facet Zhaozhi Wu
Nan Zhang
Jinbao Yao
Vladimir Poliakov
author_sort Zhaozhi Wu
collection DOAJ
description With the continuous improvement in the operation speed of trains, the impact of train–induced vibration through the track on the bridge is increasingly prominent. In particular, when the loading frequency is the same as or close to the natural frequency of the bridge, the resonant response of the bridge will be activated, which will probably endanger the safety of the operation and the bridge structure. Normally, the traditional method to indicate the appearance of resonant response is to analyze the frequency spectrum of the response through the Fourier transform from its time history. However, it can simply reflect the contribution of different frequency components within a stationary window. Therefore, continuous wavelet transform is adopted on a 2D train–track–bridge interactive system in this article. It illustrates the evolutionary characteristics of different frequencies from the input excitation to the output response during the bridge resonance in the time–frequency domain, compared with the cases when the bridge is nonresonant. Finally, the article demonstrates the feasibility of the method. It concludes that the resonance and quasi–resonance–triggering band accounts for the highly intensified bridge response, while the staggering domination between the steady-state and the transient response is the main phenomenon for the nonresonant bridge. Additionally, within the low–frequency band, the resonant bridge will have a more significant impact on the track subsystem than the train subsystem.
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spelling doaj.art-c1b6da030b4b4dcbab28eb03b2606e602023-11-23T15:24:56ZengMDPI AGApplied Sciences2076-34172022-06-011212592910.3390/app12125929Wavelet Time-Frequency Analysis on Bridge Resonance in Train-Track-Bridge Interactive SystemZhaozhi Wu0Nan Zhang1Jinbao Yao2Vladimir Poliakov3School of Civil Engineering, Beijing Jiaotong University, Beijing 100044, ChinaSchool of Civil Engineering, Beijing Jiaotong University, Beijing 100044, ChinaSchool of Civil Engineering, Beijing Jiaotong University, Beijing 100044, ChinaBridge and Tunnels Department, Russian University of Transport, 127994 Moscow, RussiaWith the continuous improvement in the operation speed of trains, the impact of train–induced vibration through the track on the bridge is increasingly prominent. In particular, when the loading frequency is the same as or close to the natural frequency of the bridge, the resonant response of the bridge will be activated, which will probably endanger the safety of the operation and the bridge structure. Normally, the traditional method to indicate the appearance of resonant response is to analyze the frequency spectrum of the response through the Fourier transform from its time history. However, it can simply reflect the contribution of different frequency components within a stationary window. Therefore, continuous wavelet transform is adopted on a 2D train–track–bridge interactive system in this article. It illustrates the evolutionary characteristics of different frequencies from the input excitation to the output response during the bridge resonance in the time–frequency domain, compared with the cases when the bridge is nonresonant. Finally, the article demonstrates the feasibility of the method. It concludes that the resonance and quasi–resonance–triggering band accounts for the highly intensified bridge response, while the staggering domination between the steady-state and the transient response is the main phenomenon for the nonresonant bridge. Additionally, within the low–frequency band, the resonant bridge will have a more significant impact on the track subsystem than the train subsystem.https://www.mdpi.com/2076-3417/12/12/5929wavelet transformbridge resonancetrain–track–bridge interactive systemtime–frequency analysis
spellingShingle Zhaozhi Wu
Nan Zhang
Jinbao Yao
Vladimir Poliakov
Wavelet Time-Frequency Analysis on Bridge Resonance in Train-Track-Bridge Interactive System
Applied Sciences
wavelet transform
bridge resonance
train–track–bridge interactive system
time–frequency analysis
title Wavelet Time-Frequency Analysis on Bridge Resonance in Train-Track-Bridge Interactive System
title_full Wavelet Time-Frequency Analysis on Bridge Resonance in Train-Track-Bridge Interactive System
title_fullStr Wavelet Time-Frequency Analysis on Bridge Resonance in Train-Track-Bridge Interactive System
title_full_unstemmed Wavelet Time-Frequency Analysis on Bridge Resonance in Train-Track-Bridge Interactive System
title_short Wavelet Time-Frequency Analysis on Bridge Resonance in Train-Track-Bridge Interactive System
title_sort wavelet time frequency analysis on bridge resonance in train track bridge interactive system
topic wavelet transform
bridge resonance
train–track–bridge interactive system
time–frequency analysis
url https://www.mdpi.com/2076-3417/12/12/5929
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AT nanzhang wavelettimefrequencyanalysisonbridgeresonanceintraintrackbridgeinteractivesystem
AT jinbaoyao wavelettimefrequencyanalysisonbridgeresonanceintraintrackbridgeinteractivesystem
AT vladimirpoliakov wavelettimefrequencyanalysisonbridgeresonanceintraintrackbridgeinteractivesystem