Analysis of lateral crowd-bridge interaction induced structural vibration through dynamic amplify factor

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Journal of Vibration and Shock ›› 2015, Vol. 34 ›› Issue (1) : 19-23.

SONG Zhi-gang1, ZHANG Yao1

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Abstract

Depending on the social force model and the mechanism of crowd-bridge interaction, a study on the lateral dynamic amplify factor of flexible footbridges was carried out. Firstly, the lateral step force induced by pedestrian was divided into two parts, namely the intrinsic lateral force and additional lateral force. Since they can be represented by Fourier series and social force respectively, the motion equation of footbridge was set up with the consideration of negative damping. The expression of dynamic amplify factor was derived from the structural motion equation. Then a simplified method for estimating structural responses was proposed according to the relationship between structural responses and the dynamic amplify factor. The peak displacement and acceleration of a concrete footbridge were calculated respectively by simplified method and time history analysis. Results of above methods are compared with each other, validating the effectiveness of simplified method.

Key words

footbridges / lateral vibration / crowd-bridge interaction / dynamic amplify factor / dynamic response estimation

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SONG Zhi-gang;ZHANG Yao. Analysis of lateral crowd-bridge interaction induced structural vibration through dynamic amplify factor[J]. Journal of Vibration and Shock, 2015, 34(1): 19-23