Frequency-domain analysis of vibration cancellation mechanism for a simply supported bridge of high-speed railway under moving loads

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Journal of Vibration and Shock ›› 2021, Vol. 40 ›› Issue (16) : 287-293.

LI Jinhua, LI Tianyi, WU Liangqin, ZHANG Huantao

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Abstract

The problem of bridge dynamic response becomes more and more obvious with the continuous improvement of train operating speed.In order to ensure that the bridge dynamic response caused by the train under high-speed operation is within the safe range, it is particularly important to establish the relationship between the train operation speed and the bridge displacement response amplitude.Therefore, an effective frequency-domain analysis method was proposed for the vibration cancellation mechanism of railway simply supported bridge under multiple moving loads.In this method, firstly, the Fourier transform was applied to the motion equation of the bridge to obtain the Fourier amplitude spectrum of moving loads for the case that the moving loads pass through the bridge at a uniform speed.Then, based on the Fourier amplitude spectrum, the relationship between the moving load speed and the bridge vibration cancellation effect was established.Finally, taking the simply supported beam of a high-speed railway as an example, the correctness of theoretical derivation and analysis and the effectiveness of speed formula were verified.The results show that: the Fourier amplitude spectrum of moving loads obtained in the frequency domain can effectively reflect the free vibration of bridge, which is consistent with the amplitude response of the free vibration of the bridge obtained from the time-domain; when the bridge vibration cancellation phenomena occur under non-equidistant moving loads, the first kind of the moving load cancellation speed is only related to the bridge span and fundamental frequency, and the second kind is related to the bridge fundamental frequency and the moving load spacing.

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vibration cancellation mechanism / moving loads / simply supported bridge / high-speed railway / frequency-domain analysis method

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LI Jinhua, LI Tianyi, WU Liangqin, ZHANG Huantao. Frequency-domain analysis of vibration cancellation mechanism for a simply supported bridge of high-speed railway under moving loads[J]. Journal of Vibration and Shock, 2021, 40(16): 287-293

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