人致人行桥侧振的非线性分析
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国家自然科学基金资助项目(11002103),国家自然科学基金重点项目(11032009)和上海市学科带头人计划资助项目(B302)


Nonlinear analysis on the lateral vibration of a footbridge induced by pedestrians
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    摘要:

    从非线性动力学角度分析了Nakamura模型中各参数对周期振动的影响,揭示了人行桥侧振过程中各因素:如桥上行人重量,同步人群的比例,行人同步与桥自振频率之间的关系描述函数等如何影响桥侧振的振幅.理论分析和实测数据发现:桥侧向振幅过大时,描述行人产生的侧向力与桥频率关系的函数不一定为1.0,且完全有可能远离1.0.

    Abstract:

    This paper presented a nonlinear analysis for Nakamura's model to investigate the influence of parameters, including the weight of pedestrians, the ratio of synchronized pedestrians, the function describing how pedestrians synchronize with the bridge natural frequency, etc. on lateral vibration amplitude of a footbridge. Theoretical analysis and numerical simulations indicate that the function describing how pedestrians synchronize with the bridge natural frequency may not be equal to 1.0 and can be far away from 1.0 even though the lateral vibration is excessive. The results are helpful for the application of Nakamura's model in engineering practice and can provide references for field measure.

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镇斌,徐鉴.人致人行桥侧振的非线性分析[J].动力学与控制学报,2013,11(2):137~141; Zhen Bin,Xu Jian. Nonlinear analysis on the lateral vibration of a footbridge induced by pedestrians[J]. Journal of Dynamics and Control,2013,11(2):137-141.

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  • 收稿日期:2012-06-24
  • 最后修改日期:2012-07-10
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  • 在线发布日期: 2013-05-29
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