Study on Coupled Vibration of Human-plate System under Pedestrian Excitation

In the paper, in order to explore the influence of human-structure interaction (HSI) in the vertical direction on the dynamic response of floors due to human-induced excitation, the formula for the human-plate interaction system is deduced. The pedestrian is in turn modelled as moving force (MF), spring-mass-damper (SMD), and added mass-spring-mass-damper (MSMD). The floor is modelled using a formulation in modal coordinates. Aiming at the formula of human-plate interaction system, the state space method is used to get the instantaneous frequency and instantaneous damping ratio of the floor under walking excitation, and the acceleration responses can be obtained using the Runge-Kutta method. Furthermore, this work studies the influence of pedestrian mass and structural modal mass on structural vibration response. The results show that the floor frequency is observed to decrease and the damping ratio gives the opposite trend when the pedestrian enters the floor. The MF model overestimates the measured response, while the actual results can be well approximated by the results for SMD and MSMD models considering HIS. Accounting for increasing human mass and decreasing modal mass lead to significant increase in the dynamic properties and the structural response.