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Historical Review on Resonance and Cancellation of Simply Supported Beams Subjected to Moving Train Loads: From Theory to Practice

Y. B. Yang

School of Civil Engineering, Chongqing University, Chongqing 400044, China

School of Civil Engineering and Architecture, Chongqing University of Science and Technology, Chongqing 401331, China

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J. D. Yau

https://orcid.org/0000-0002-9310-4575

Department of Architecture, Tamkang University, New Taipei City 25137, Taiwan

E-mail Address: jdyau@mail.tku.edu.tw

Corresponding author.

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S. Urushdaze

Institute of Theoretical and Applied Mechanics, Czech Academy of Sciences, 19000 Prague, Czech Republic

E-mail Address: urushadze@itam.cas.cz

Corresponding author.

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, and

T. Y. Lee

Department of Civil Engineering, National Central University, Taoyuan City 32001, Taiwan

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https://doi.org/10.1142/S0219455423400084Cited by:8 (Source: Crossref)

This article is part of the issue:

Special Issue on Structural Engineering Dedicated to the 70th Birthday of Professor Y. B. Yang
Guest Editors: Weiyong Wang, C. W. Lim and Jie Yang

Abstract

The advent of railways and especially highspeed railways marks great strides in human transportation history. To guarantee exclusive right-of-way, highspeed railways are often built on equal simply supported beams resting on piers. In this paper, a historical review will be given of the resonance and cancellation phenomena observed for simply supported beams traveled by a set of moving loads, as they are typical of highspeed railways. The phenomenon of resonance was observed by early investigators including Timoshenko, Bolotin, Frýba, Matsuura, etc. However, the phenomenon of cancellation was noted lately in 1997 by Yang et al. By letting the conditions of resonance and cancellation coincident, they proposed the optimal span length for suppressing the resonance of simple beams, which is equal to 1.5 times the car length. This 1.5 times rule has been verified and adopted in the design of some highspeed railways. In this article, the theoretical solution for the problem will be revisited for unveiling the key parameters such as the resonance speed (in temporal domain) and resonance wavelength (in spatial domain). Then a rather in-depth review will be given of existing works on the resonance and cancellation of railway bridges from the waves perspective. Some new developments along these lines will also be identified.

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Vol. 23, No. 16n18

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History

Received 10 October 2022

Accepted 23 February 2023

Published: 28 July 2023

Keywords

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Historical Review on Resonance and Cancellation of Simply Supported Beams Subjected to Moving Train Loads: From Theory to Practice

Abstract

References

Internal and External Cancellation Conditions for Free Vibration of Damped Simple Beams Traversed by Successive Moving Loads

Dynamic Responses of Interspersed Railway Tracks to Moving Train Loads

Interaction Dynamic Response of a High-Speed Train Moving Over Curved Bridges with Deficient or Surplus Superelevation

Double Sub-Resonance Mechanism in Torsional–Flexural Vibrations of a Double-Track Short Bridge Under a Moving Train

INTERACTION RESPONSE OF TRAIN LOADS MOVING OVER A TWO-SPAN CONTINUOUS BEAM

Resonance and Cancellation in Torsional Vibration of Monosymmetric I-Sections Under Moving Loads

Investigation of Spatial-Varying Frequencies Concerning Effects of Moving Mass on a Beam

Recent Advances in Researches on Vehicle Scanning Method for Bridges

System Upgrade on Tue, May 28th, 2024 at 2am (EDT)

Historical Review on Resonance and Cancellation of Simply Supported Beams Subjected to Moving Train Loads: From Theory to Practice

Abstract

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Internal and External Cancellation Conditions for Free Vibration of Damped Simple Beams Traversed by Successive Moving Loads

Dynamic Responses of Interspersed Railway Tracks to Moving Train Loads

Interaction Dynamic Response of a High-Speed Train Moving Over Curved Bridges with Deficient or Surplus Superelevation

Double Sub-Resonance Mechanism in Torsional–Flexural Vibrations of a Double-Track Short Bridge Under a Moving Train

INTERACTION RESPONSE OF TRAIN LOADS MOVING OVER A TWO-SPAN CONTINUOUS BEAM

Resonance and Cancellation in Torsional Vibration of Monosymmetric I-Sections Under Moving Loads

Investigation of Spatial-Varying Frequencies Concerning Effects of Moving Mass on a Beam

Recent Advances in Researches on Vehicle Scanning Method for Bridges