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轮轨滚动激励引起的桥梁振动响应和输入功率是计算桥梁结构辐射噪声的重要参数。时域车轨桥耦合振动分析常用于低频振动分析,但在中高频分析时效率较低。为此,提出一种基于力法原理的频域功率流方法解决这一问题。采用无限长Euler梁或Timoshenko梁建立钢轨部件,采用无限大Kirchhoff板、Mindlin板或有限元模型建立桥梁部件,采用弹簧元件模拟钢轨与桥梁之间的连接扣件,并以弹簧力为未知量建立力法基本方程。对比计算了不同轨桥模型对U梁和箱梁桥振动功率的影响。结果表明:U梁桥面板的剪切效应对桥梁振动功率计算结果影响很大,采用传统的无限大Kirchhoff板模型将导致功率级计算误差达到15 d B,而采用Mindlin板模型可获得良好的计算精度与效率。相对于箱梁实体有限元模型而言,采用Mindlin板模型的误差仍然较大。
Bridge vibration response and input power caused by wheel-rail rolling excitation are important parameters for calculating the radiation noise of bridge structure. Time-domain rail-rail coupled vibration analysis is commonly used for low-frequency vibration analysis, but less efficient for medium- and high-frequency analysis. Therefore, a method based on the principle of force method is proposed to solve this problem. The rail components are built with an infinite Euler beam or Timoshenko beam. The bridge components are built using an infinite Kirchhoff plate, a Mindlin plate or a finite element model. Spring elements are used to simulate the connection between the rail and the bridge. The spring force is used to establish the unknown component The basic law of force method. The influence of different rail bridge models on the vibrational power of U-beam and box girder bridges is calculated and compared. The results show that the shearing effect of U-beam bridge deck has great influence on the calculation results of bridge vibration power. The traditional infinite Kirchhoff plate model will lead to the calculation error of power level reaching 15 d B, while the Mindlin plate model can obtain a good calculation Accuracy and efficiency. Relative to the box girder finite element model, the error using Mindlin plate model is still large.