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不确定性列车移动载荷激励下桥梁的振动分析

魏定池 段民封 李金武 姜潮

魏定池, 段民封, 李金武, 姜潮. 不确定性列车移动载荷激励下桥梁的振动分析[J]. 机械科学与技术, 2019, 38(1): 57-66. doi: 10.13433/j.cnki.1003-8728.20180224
引用本文: 魏定池, 段民封, 李金武, 姜潮. 不确定性列车移动载荷激励下桥梁的振动分析[J]. 机械科学与技术, 2019, 38(1): 57-66. doi: 10.13433/j.cnki.1003-8728.20180224
Wei Dingchi, Duan Minfeng, Li Jinwu, Jiang Chao. Vibration Analysis of Bridges Excited by Uncertain Train Moving Loads[J]. Mechanical Science and Technology for Aerospace Engineering, 2019, 38(1): 57-66. doi: 10.13433/j.cnki.1003-8728.20180224
Citation: Wei Dingchi, Duan Minfeng, Li Jinwu, Jiang Chao. Vibration Analysis of Bridges Excited by Uncertain Train Moving Loads[J]. Mechanical Science and Technology for Aerospace Engineering, 2019, 38(1): 57-66. doi: 10.13433/j.cnki.1003-8728.20180224

不确定性列车移动载荷激励下桥梁的振动分析

doi: 10.13433/j.cnki.1003-8728.20180224
基金项目: 

国家重点研发计划项目 2016YFD0701105

国家杰出青年科学基金项目 51725502

详细信息
    作者简介:

    魏定池(1980-), 高级工程师, 研究方向为结构不确定性分析, weidcgz@163.com

    通讯作者:

    姜潮, 教授, 博士生导师, jiangc@hnu.edu.cn

  • 中图分类号: TH113

Vibration Analysis of Bridges Excited by Uncertain Train Moving Loads

  • 摘要: 通过引入区间过程模型,提出了一种针对受列车移动载荷激励的桥梁的不确定振动分析方法,可以得到列车经过时桥梁振动挠度响应的上下边界曲线。将单节列车用两个等间隔轮载荷的子系统来模拟,一个包含前轮部分,另一个包含后轮部分。将桥梁简化为简支梁模型,用区间过程来描述列车对桥梁的不确定性移动载荷激励。基于区间过程模型和模态叠加理论,得到桥梁挠度响应的中值函数和半径函数,从而得到挠度响应的上下边界函数。通过数值算例说明本文方法的有效性。
  • 图  1  受移动载荷流激励的弹性梁模型[16]

    图  2  列车过桥模型[16]

    图  3  列车载荷等效为两个等间距的子系统[16]

    图  4  载荷间距与桥长关系的不同情形[16]

    图  5  区间过程[15]

    图  6  区间过程自协方差函数的求取[20]

    图  7  不同共振速度下桥梁中点处挠度响应半径

    图  8  共振效应情况下桥梁中点处挠度响应上下边界

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出版历程
  • 收稿日期:  2017-08-01
  • 刊出日期:  2019-01-05

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