Frequency domain analysis for maximum displacement response of bridges excited by single moving load

LI Jin-hua; ZHANG Huan-tao; LIU Quan-min

doi:10.19818/j.cnki.1671-1637.2020.01.005

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LI Jin-hua, ZHANG Huan-tao, LIU Quan-min. Frequency domain analysis for maximum displacement response of bridges excited by single moving load[J]. Journal of Traffic and Transportation Engineering, 2020, 20(1): 74-81. doi: 10.19818/j.cnki.1671-1637.2020.01.005

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LI Jin-hua, ZHANG Huan-tao, LIU Quan-min. Frequency domain analysis for maximum displacement response of bridges excited by single moving load[J]. Journal of Traffic and Transportation Engineering, 2020, 20(1): 74-81. doi: 10.19818/j.cnki.1671-1637.2020.01.005

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Frequency domain analysis for maximum displacement response of bridges excited by single moving load

doi: 10.19818/j.cnki.1671-1637.2020.01.005

School of Civil Engineering and Architecture, East China Jiaotong University, Nanchang 330013, Jiangxi, China

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Author Bio:
LI Jin-hua(1981-), male, associate professor, PhD, Jinhua.lee@foxmail.com
Received Date: 2019-08-02
Publish Date: 2020-02-25

Abstract

Abstract

To establish the relationship between the operation speed of train and the maximum displacement response of bridge more effectively, a frequency domain analysis method was proposed for the maximum displacement response of bridge excited by a single moving load. The Fourier transform was used to derive the moving load spectrum and the vibration displacement response spectrum of bridge when a single moving load passing through the beam bridge at a constant speed. The moving load speed causing the extreme free vibration displacement response of bridge was obtained by analyzing the moving load amplitude spectrum, and a calculation formula for the moving load speed was proposed. Taking a simply-supported beam as an example, the correctness of numerical calculation procedure in this paper was verified by comparing with the results of related literatures. Based on this procedure, the correctness of theoretical derivation of frequency domain analysis method and the accuracy of moving load speed formula were verified through the numerical analysis. Research result shows that the moving load amplitude spectrum obtained in the frequency domain is consistent with the amplitude response law of free vibration of bridge obtained in the time domain, so the moving load amplitude spectrum can effectively reflect the free vibration displacement response of bridge. The moving load speed corresponding to the maximum free vibration displacement response of bridge is equal to that corresponding to the maximum amplitude spectrum of moving load, and the moving load speeds corresponding to other extreme points of moving load amplitude spectrum are also consistent with those of the extreme points in the free vibration displacement response of bridge. In the free vibration phase, the speed of single moving load correeponding to the extrem point of displacement response of bridge is only related to the natural frequency and span of bridge. When a single moving load passes through a bridge at the resonant speed, the responses of forced and free vibration displacements are not the maximum response. Therefore, for the train operation speed of high-speed railway bridges, in addition to the resonance speed of train, more attention should be paid to the speed causing the maximum displacement response of bridge.
- bridge engineering,
- moving load speed,
- frequency domain analysis method,
- free vibration,
- maximum response

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References

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Frequency domain analysis for maximum displacement response of bridges excited by single moving load

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Frequency domain analysis for maximum displacement response of bridges excited by single moving load

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