Abstract
The excessive vertical vibration of structures induced by walking pedestrians has attracted considerable attention in the past decades. The bipedal walking models proposed previously, however, merely focus on the effects generated by legs and ignore the effects of the dynamics of body parts on pedestrian-structure interactions. The contribution of this paper is proposing a novel pedestrian-structure interaction system by introducing the concept of the continuum and a different variable stiffness strategy. The dynamic model of pedestrian-structure coupling system is established using the Lagrange method. The classical mode superposition method is utilized to calculate the response of the structure. The state-space method is employed to determine natural frequencies and damping ratio of the coupled system. Based on the proposed model, numerical simulations and parametric analysis are conducted. Numerical simulations have shown that the continuum enables the pedestrian-structure system to achieve the stable state more efficiently than the classic model does, which idealizes the body as a concentrated or lumped mass. The parametric study reveals that the presence of pedestrians is proved to significantly decrease the frequency of human-structure interaction system and improve its damping ratio. Moreover, the parameters of the bipedal model have a noticeable influence on the dynamic properties and response of the pedestrian-structure system. The bipedal walking model proposed in this paper depicts a pattern of pedestrian-structure interactions with different parameter settings and has a great potential for a wide range of practical applications.
Highlights
In recent years, the problem of human-induced vibration in flexible bridges has attracted extensive attention, which makes the improvement of bridge vibration serviceability a necessary consideration in new structure design [1]
Erefore, in order to compare the impact of the two models on the dynamic properties of the structure, the acceleration vector is adopted as the initial vector for calculation only after the gait obtains its stabilization. e acceleration and displacements of the beam at mid-span are shown in Figures 7 and 8, respectively, under the condition that the initial vector is optimized
In contrast to the classic bipedal walking models that treat the center of the body as a concentrated mass, the paper discusses the impact of the dynamics of other parts of the body on the bipedal walking model
Summary
The problem of human-induced vibration in flexible bridges has attracted extensive attention, which makes the improvement of bridge vibration serviceability a necessary consideration in new structure design [1]. To assess the vibration serviceability of new footbridges, the moving force (MF) model is generally adopted by many guidelines (e.g., OHBDC [2], BS 5400 [3], ISO-10137 [4], Eurocode 5 [5], Setra [6], and HIVOSS [7]) This approach does not consider the impact of pedestrians on the properties of the structural system (such as frequency and damping), nor does it consider the impact of structural vibrations upon pedestrian gait, as excessive vibrations would produce panic among pedestrians [8,9,10].
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