An improved method for modal shape identification of loaded bridges based on frequency variation

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Journal of Vibration and Shock ›› 2023, Vol. 42 ›› Issue (9) : 189-196.

HE Wei1, HE Kewen1, WANG Guobo2

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Abstract

Using a parked vehicle to identify the bridge modal shapes has greatly improved the resolution compared with the vehicle-scanning method (VSM) since it can overcome the influence of road roughness introduced by the VSM itself. The method basically employs the variation of bridge frequencies parked by vehicle with different locations. An accurate estimation of parked vehicle-bridge system plays a key role in the resolution of the structural mode shapes. The motion equation of a parked vehicle-bridge coupled system is firstly developed and the closed-form solutions of coupled frequencies are obtained. Secondly, an improved method for modal shape identification of bridges based on frequency variation is proposed and verified based on both numerical examples and laboratory model experiments. Thirdly, bridge frequencies and modal shapes estimated using different vehicle models, namely, the spring-mass model and the lump mass model, are compared. Finally, the potential influence factors which affect the frequencies of the couple system are further discussed. It is shown that the proposed method has better performance in modal shape identification compared with the lump mass method. Besides, it can provide accurate estimates of the bridge frequencies with parked vehicles. The frequencies of the parked vehicle-bridge systems always occur in pair. The frequency ratio of vehicle to bridge, the mass ratio and the vehicle location all contributes to the variation of bridge frequencies, among which the frequency ratio is the most sensitive index. The research method presented in this paper is not only applicable for highway bridges, but also can be used for the modal shape identification of footbridges and large-span floors using stationary pedestrians.

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modal shape identification / frequency variation / parked vehicle / mass ratio / vehicle-bridge interaction

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HE Wei1, HE Kewen1, WANG Guobo2. An improved method for modal shape identification of loaded bridges based on frequency variation[J]. Journal of Vibration and Shock, 2023, 42(9): 189-196

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