Abstract

Stability analysis for pedestrian-induced vibration on footbridges is a complicated and multidisciplinary problem, which includes a series of complex mechanics, such as pedestrian–bridge interaction, vibration instability, and excitation randomness. Thus far, an effective method of dealing with such problem remains lacking. In this study, a novel nonlinear stochastic vibration model is proposed by fitting the laboratory data of Ingólfsson et al., and the analytical solution is obtained by using the stochastic average method. Then, the steady and stability solutions of the lateral vibration of the Millennium Bridge are analysed in detail. Based on the analysis results, the influence of the number of pedestrians, the frequency tuning, and the randomness of excitation on the vibrational stability of footbridges are revealed. The method proposed in this study can also be applied to other nonlinear vibration models, and it provides a reference for future nonlinear stochastic analysis of pedestrian-induced vibration on footbridges.

摘要

行人天桥引起的振动的稳定性分析是一个复杂且涉及多个学科的问题，其中包括一系列复杂的机制，例如行人桥相互作用，振动不稳定性和激励随机性。迄今为止，仍缺乏有效的方法来处理这种问题。在这项研究中，通过拟合Ingólfsson等人的实验室数据，提出了一种新的非线性随机振动模型，并使用随机平均方法获得了解析解。然后，详细分析了千年桥横向振动的稳定解和稳定性解。基于分析结果，揭示了行人数量，频率调谐和激励随机性对人行天桥振动稳定性的影响。