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首页> 外文期刊>International Journal for Numerical Methods in Engineering >Vertical dynamic responses of a simply supported bridge subjected to a moving train with two-wheelset vehicles using modal analysis method
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Vertical dynamic responses of a simply supported bridge subjected to a moving train with two-wheelset vehicles using modal analysis method

机译：模态分析法研究两轮车辆在动列车作用下简支桥梁的竖向动力响应

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摘要

The vertical dynamic responses of a simply supported bridge subjected to a moving train are investigated by means of the modal analysis method. Each vehicle of train is modelled Lis a four-degree-of-freedom mass-spring-damper multi-rigid body system with a car body and two wheelsets. The bridge, together with track, is modelled as a simply supported Bernoulli-Euler beam. The deflection of the beam is described by superimposing modes. The train and the beam are regarded as an entire dynamic system, in which the contact forces between wheelset and beam are considered as internal forces. The equations of vertical motion in matrix form with time-dependent coefficients for this system are directly derived from the Hamilton's principle. The equations of motion are solved by Wilson-theta method to obtain the dynamic responses for both the support beam and the moving train. Compared with the results previous reported, good agreement between the proposed method and the finite element method is obtained. Finally, the effects of beam mode number, vehicle number, beam top surface, and train velocity on the dynamic responses of the entire train and bridge coupling system are studied, and the dynamic responses of beam are given under the train moving with resonant velocity. Copyright (c) 2005 John Wiley & Sons, Ltd.
机译：利用模态分析方法研究了桥梁在运动过程中的竖向动力响应。火车的每辆车都采用Lis建模，它是一个具有车身和两个轮对的四自由度质量弹簧阻尼器多刚体系统。桥梁与轨道一起被建模为简单支撑的伯努利-欧拉梁。光束的偏转通过叠加模式来描述。列车和横梁被视为一个完整的动力系统，其中轮对与横梁之间的接触力被视为内力。该系统的时变系数矩阵形式的垂直运动方程是直接从汉密尔顿原理导出的。通过Wilson-theta方法求解运动方程，从而获得支撑梁和移动列车的动力响应。与先前报道的结果相比，该方法与有限元方法具有很好的一致性。最后，研究了梁的模数，车号，梁顶面和列车速度对整个列车与桥梁耦合系统动力响应的影响，并给出了在列车以共振速度运动时梁的动力响应。版权所有（c）2005 John Wiley＆Sons，Ltd.

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