Dispersion Analysis in Periodically Coupled Train–Bridge Systems.

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Title: Dispersion Analysis in Periodically Coupled Train–Bridge Systems.
Authors: Wang, Y. J.1 (AUTHOR), Yau, J. D.2 (AUTHOR) jdyau@mail.tku.edu.tw, Chang, C. H.3 (AUTHOR), Shi, J.1 (AUTHOR), Urushadze, S.4 (AUTHOR)
Source: International Journal of Structural Stability & Dynamics. 4/1/2026, Vol. 26 Issue 7, p1-25. 25p.
Subjects: Resonance, Bridge vibration, Continuous beams (Structural engineering), Mechanical vibration research, Theory of wave motion, Structural engineering
Abstract: This study employs the wave dispersion relation of periodic structures to demonstrate the dual resonance mechanism occurring as a train traverses a series of bridges. Dual resonance occurs when the resonant speeds of both the train and the bridge coincide, leading to resonance in the bridge and progressively amplifying the train's responses from the front to the rear carriages. This phenomenon involves a complex interaction between the bridge's temporal resonance and the train's spatial periodicity. This interaction creates a unique spatiotemporal vibration pattern. To understand the wave dispersion in this periodically coupled system, we model it as two interconnected spring-mass systems connected by contact springs. The analytical approach allows us to identify the key parameters governing the wave dispersion relation and wave-transmitting phenomena between two periodic structures. The wave dispersion analysis reveals that continuous beams have broader passbands, allowing them to transmit more waves and vibrations from moving trains than simply supported beams. This reduces resonance and leads to smoother system performance for continuous beams. Consequently, when a train travels on an equal-span continuous bridge at its resonance speeds, its vibrations can be efficiently transmitted to the bridge through these passbands, thereby mitigating resonance. [ABSTRACT FROM AUTHOR]
Copyright of International Journal of Structural Stability & Dynamics is the property of World Scientific Publishing Company and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
Database: Engineering Source
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DbLabel: Engineering Source
An: 191986141
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PubTypeId: academicJournal
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  Data: Dispersion Analysis in Periodically Coupled Train–Bridge Systems.
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  Data: <searchLink fieldCode="AR" term="%22Wang%2C+Y%2E+J%2E%22">Wang, Y. J.</searchLink><relatesTo>1</relatesTo> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Yau%2C+J%2E+D%2E%22">Yau, J. D.</searchLink><relatesTo>2</relatesTo> (AUTHOR)<i> jdyau@mail.tku.edu.tw</i><br /><searchLink fieldCode="AR" term="%22Chang%2C+C%2E+H%2E%22">Chang, C. H.</searchLink><relatesTo>3</relatesTo> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Shi%2C+J%2E%22">Shi, J.</searchLink><relatesTo>1</relatesTo> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Urushadze%2C+S%2E%22">Urushadze, S.</searchLink><relatesTo>4</relatesTo> (AUTHOR)
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  Data: <searchLink fieldCode="JN" term="%22International+Journal+of+Structural+Stability+%26+Dynamics%22">International Journal of Structural Stability & Dynamics</searchLink>. 4/1/2026, Vol. 26 Issue 7, p1-25. 25p.
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  Data: <searchLink fieldCode="DE" term="%22Resonance%22">Resonance</searchLink><br /><searchLink fieldCode="DE" term="%22Bridge+vibration%22">Bridge vibration</searchLink><br /><searchLink fieldCode="DE" term="%22Continuous+beams+%28Structural+engineering%29%22">Continuous beams (Structural engineering)</searchLink><br /><searchLink fieldCode="DE" term="%22Mechanical+vibration+research%22">Mechanical vibration research</searchLink><br /><searchLink fieldCode="DE" term="%22Theory+of+wave+motion%22">Theory of wave motion</searchLink><br /><searchLink fieldCode="DE" term="%22Structural+engineering%22">Structural engineering</searchLink>
– Name: Abstract
  Label: Abstract
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  Data: This study employs the wave dispersion relation of periodic structures to demonstrate the dual resonance mechanism occurring as a train traverses a series of bridges. Dual resonance occurs when the resonant speeds of both the train and the bridge coincide, leading to resonance in the bridge and progressively amplifying the train's responses from the front to the rear carriages. This phenomenon involves a complex interaction between the bridge's temporal resonance and the train's spatial periodicity. This interaction creates a unique spatiotemporal vibration pattern. To understand the wave dispersion in this periodically coupled system, we model it as two interconnected spring-mass systems connected by contact springs. The analytical approach allows us to identify the key parameters governing the wave dispersion relation and wave-transmitting phenomena between two periodic structures. The wave dispersion analysis reveals that continuous beams have broader passbands, allowing them to transmit more waves and vibrations from moving trains than simply supported beams. This reduces resonance and leads to smoother system performance for continuous beams. Consequently, when a train travels on an equal-span continuous bridge at its resonance speeds, its vibrations can be efficiently transmitted to the bridge through these passbands, thereby mitigating resonance. [ABSTRACT FROM AUTHOR]
– Name: AbstractSuppliedCopyright
  Label:
  Group: Ab
  Data: <i>Copyright of International Journal of Structural Stability & Dynamics is the property of World Scientific Publishing Company and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.)
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RecordInfo BibRecord:
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        Value: 10.1142/S0219455425410135
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      – Code: eng
        Text: English
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        PageCount: 25
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        Type: general
      – SubjectFull: Bridge vibration
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      – SubjectFull: Continuous beams (Structural engineering)
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      – SubjectFull: Mechanical vibration research
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      – SubjectFull: Theory of wave motion
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      – SubjectFull: Structural engineering
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      – TitleFull: Dispersion Analysis in Periodically Coupled Train–Bridge Systems.
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              Text: 4/1/2026
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              Y: 2026
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