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Nonlinear Stochastic Analysis for Lateral Vibration of Footbridge under Pedestrian Narrowband Excitation

机译：行人窄带激励下人行桥横向振动的非线性随机分析

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摘要

During the lateral vibration of footbridge, the pedestrian lateral load shows two distinct features: one is the vibration-dependency; another is the narrowband randomness caused by the variability between two subsequent walking steps. In this case, the lateral vibration of footbridge is actually a complicated, nonlinear stochastic system. In this paper, a novel nonlinear stochastic model for lateral vibration of footbridge is proposed, in which a velocity-dependent load model developed from Nakamura model is adopted to represent the pedestrian-bridge interaction and the narrowband stochastic characteristic is considered. The amplitude and phase involved Ito equations are established using the multiscale method. Based on the maximal Lyapunov exponent derived from these equations, the critical condition for triggering a large lateral vibration can be obtained by solving the stability problem. The validity of the proposed method is confirmed, based on performing the case studies of two bridges. Meanwhile, through parameter analysis, the influences of several crucial parameters on the stability of vibration are discussed.
机译：在行人天桥的横向振动过程中，行人的横向载荷表现出两个明显的特征：一是振动依赖性。另一个是由两个后续步行步骤之间的可变性引起的窄带随机性。在这种情况下，人行桥的横向振动实际上是一个复杂的非线性随机系统。本文提出了一种新型的人行桥横向振动非线性随机模型，其中采用中村模型开发的速度相关荷载模型来表示人行桥相互作用，并考虑了窄带随机特性。使用多尺度方法建立涉及振幅和相位的伊藤方程。基于这些方程式得出的最大Lyapunov指数，可以通过解决稳定性问题来获得触发大的横向振动的临界条件。基于对两座桥梁的案例研究，验证了所提方法的有效性。同时，通过参数分析，讨论了几个关键参数对振动稳定性的影响。

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  • 来源
    《Mathematical Problems in Engineering》 |2017年第7期|5967491.1-5967491.12|共12页
  • 作者

    Jia Bu-yu; Yu Xiao-lin; Yan Quan-sheng; Yang Zheng;

  • 作者单位

    South China Univ Technol, Sch Civil Engn & Transportat, Guangzhou, Guangdong, Peoples R China;

    South China Univ Technol, Sch Civil Engn & Transportat, Guangzhou, Guangdong, Peoples R China;

    South China Univ Technol, Sch Civil Engn & Transportat, Guangzhou, Guangdong, Peoples R China;

    South China Univ Technol, Sch Civil Engn & Transportat, Guangzhou, Guangdong, Peoples R China;

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