Rail–bridge coupling element of unequal lengths for analysing train–track–bridge interaction systems
Rail–bridge coupling element of unequal lengths for analysing train–track–bridge interaction systems
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DOI：
10.1016/j.apm.2011.08.041
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发表时间：
2012-04
影响因子：
5
通讯作者：
P. Lou;Zhi-wu Yu;F. Au
中科院分区：
文献类型：
--
作者：
P. Lou;Zhi-wu Yu;F. Au
本文提出了一种不等长的轨道-桥梁耦合单元，其中桥梁单元的长度大于轨道单元的长度，以研究列车-轨道-桥梁相互作用系统的动态问题。给出了具有所提出的单元的火车-轨道-桥梁相互作用系统的矩阵形式的运动方程。选择具有两种桥梁模型的前两个数值示例来说明所提出的单元的应用。结果表明，对于相同长度的轨道单元，（1）该单元获得的列车、轨道和桥梁的动力响应与等长度轨桥耦合单元获得的动力响应几乎相同；（2）与等长度轨桥耦合单元相比，该单元有助于节省计算机时间。此外，钢轨单元的长度对钢轨动力响应的影响也很大。然而，轨道单元长度对桥梁动力响应的影响并不显着。因此，可以采用所提出的具有较短轨道单元和较长桥梁单元的单元来研究火车-轨道-桥梁相互作用系统的动态响应。最后一个数值例子是研究两种类型的轨道模型对车辆、铁路和桥梁动态响应的影响。结果表明：（1）单层和双层轨道模型的车辆、钢轨和桥梁的动力响应存在差异；（2）最大差异随着轨枕质量的增加而增大；（3）双层轨道模型更准确。
This paper presents a rail–bridge coupling element of unequal lengths, in which the length of a bridge element is longer than that of a rail element, to investigate the dynamic problem of train–track–bridge interaction systems. The equation of motion in matrix form is given for a train–track–bridge interaction system with the proposed element. The first two numerical examples with two types of bridge models are chosen to illustrate the application of the proposed element. The results show that, for the same length of rail element, (1) the dynamic responses of train, track and bridge obtained by the proposed element are almost identical to those obtained by the rail–bridge coupling element of equal length, and (2) compared with the rail–bridge coupling element of equal length, the proposed element can help to save computer time. Furthermore, the influence of the length of rail element on the dynamic responses of rail is significant. However, the influence of the length of rail element on the dynamic responses of bridge is insignificant. Therefore, the proposed element with a shorter rail element and a longer bridge element may be adopted to study the dynamic responses of a train–track–bridge interaction system. The last numerical example is to investigate the effects of two types of track models on the dynamic responses of vehicle, rail and bridge. The results show that: (1) there are differences of the dynamic responses of vehicle, rail and bridge based on the single-layer and double-layer track models, (2) the maximum differences increase with the increase of the mass of sleeper, (3) the double-layer track model is more accurate.