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Frequency characteristics of railway bridge response to moving trains with consideration of train mass

机译：考虑列车质量的铁路桥梁对行进列车的频率特性

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摘要

The dynamic response of railway bridges is known to be influenced by a combination of factors including the bridge natural frequency, train speed, and bridge and carriage lengths. However, the intrinsic relationships among these parameters have seldom been elaborated in common dynamics terms so as to enable more effective implementation in practice. This paper attempts to approach this classic problem from a frequency perspective, by investigating into the frequency characteristics in the bridge response as well as in the moving trainloads. In particular, the significance of the so-called "driving" and "dominant" frequencies arising from the moving load is examined. Based on numerical results and a securitization using a generalised trainload pattern, it is demonstrated that the primary frequency contents in the train-load, and consequently in the dynamic response of the bridge, is largely governed by the bridge-to-carriage length ratio. Namely, for short bridges (with a length ratio below the order of 1.5), well-distributed frequency peaks occur at a number of dominant frequencies, whereas for longer bridges the main frequency peak tends to concentrate towards the lowest dominant frequency. Such a characteristic affects directly the resonance condition and resonance speeds for bridges of different length categories, and this observation echoes well the predictions of the resonance severity using a so-called Z-factor. For the special case of bridge response under a single carriage/vehicle, the influence of the carriage mass is examined in association with the concept of critical speed, and the abnormal acceleration spikes that could occur when the vehicle moves at the critical speed is highlighted.
机译：众所周知，铁路桥梁的动力响应会受到多种因素的影响，包括桥梁固有频率，列车速度以及桥梁和车厢的长度。但是，很少用通用动力学术语来详细说明这些参数之间的内在关系，以便在实践中更有效地实施。本文试图通过研究桥响应以及列车运动中的频率特性，从频率角度解决这一经典问题。特别地，研究了由移动负载引起的所谓“驱动”和“主要”频率的重要性。基于数值结果和使用广义列车荷载模式的证券化，证明了列车荷载中的主频率成分以及桥梁的动力响应在很大程度上受桥梁与车架长度之比的控制。也就是说，对于短电桥（长度比低于1.5的量级），在许多主频处会出现频率分布均匀的峰值，而对于较长的电桥，主频峰会倾向于向最低主频集中。这种特性直接影响不同长度类别的桥梁的共振条件和共振速度，并且该观察结果很好地反映了使用所谓的Z因子对共振强度的预测。对于单个车厢/车辆下桥梁响应的特殊情况，结合临界速度的概念来检查车厢质量的影响，并突出显示了当车辆以临界速度行驶时可能会出现的异常加速度峰值。

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  • 来源
    《Engineering Structures》 |2012年第9期|p.9-22|共14页
  • 作者

    Yong Lu; Lei Mao; Peter Woodward;

  • 作者单位

    Institute for Infrastructure and Environment, School of Engineering, The University of Edinburgh, The Kings Buildings, Edinburgh EH9 3/1, UK,Joint Research Institute for Civil and Environmental Eng., Edinburgh Research Partnership in Engineering and Mathematics, UK;

    Institute for Infrastructure and Environment, School of Engineering, The University of Edinburgh, The Kings Buildings, Edinburgh EH9 3/1, UK,Joint Research Institute for Civil and Environmental Eng., Edinburgh Research Partnership in Engineering and Mathematics, UK;

    Institute for Infrastructure and Environment, School of Built Environment, Heriot-Watt University, Edinburgh, UK,Joint Research Institute for Civil and Environmental Eng., Edinburgh Research Partnership in Engineering and Mathematics, UK;

  • 收录信息 美国《科学引文索引》(SCI);美国《工程索引》(EI);
  • 原文格式 PDF
  • 正文语种 eng
  • 中图分类
  • 关键词

    railway bridge; moving train; moving mass; frequency content; critical speed; resonance speed;

    机译：铁路桥梁火车移动质量频率含量;临界速度共振速度;

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