Control of Human-Induced Vibration of Footbridge Using Tuned Mass Dampers Designed by LQR Algorithm

This paper studied a scenic footbridge which is a long-span steel bridge with low inherit damping and is prompt to human-induced vibration. The dynamic analysis based on the finite element model (FEM) of the bridge show that multi modes of vibration are excited by human loads, and therefore, it is necessary to install Tuned Mass Damper (TMD) for proper vibration control. For single mode of vibration, we can simplify the bridge as a single degree of freedom system for calculation, and obtain the optimally designed parameters of TMD such as mass, stiffness and damping. However, when multi modes of vibration occur, TMD designed for single mode vibration cannot fulfill the control requirement for multi modes s vibration. Thus, it is needed to design additional linear dampers by active control algorithm LQR, so that the comfort requirement of the footbridge can be met under both normal and unfavorable loading conditions.

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