为了建立更合理的频域车轨耦合模型,提出一种求解移动荷载状态激振下轨道结构上轮对相互影响系数的解析方法。该解析方法视离散支撑轨道结构为周期性的结构,首先在与列车轮载同速的移动坐标系下对Dirac荷载作用下钢轨的振动控制方程进行系列积分变换,并将影响系数化简为含有钢轨垫片中频域力的表达式,而后以传递矩阵方法求得该频域力,进而最终求得轮对的相互影响系数。研究结果表明:该方法计算准确度高,计算速度快,能很好地应用于频域车轨耦合模型中;列车在高速时采用定点荷载状态激振会产生较大误差,此时宜使用移动荷载状态激振。
In order to establish a more reasonable frequency-domain vehicle-track coupling model, considering the moving excitation, an analytical method for solving wheelsets' interaction coefficient on track structure was proposed. The method regards the discrete supported track structure as a periodic structure. First, a series of integral transformations were applied on the vibration governing equation of rail under Dirac load in the moving coordinate system with a speed same with wheel forces, and the interaction coefficient was simplified to an expression containing the frequency-domain forces in rail pads. Then, the frequency-domain forces in rail pads were solved through transfer matrix method, and thus the wheelsets' interaction coefficient was finally obtained. The results show that the method has high accuracy and fast calculation speed, and can be easily used in the frequency-domain vehicle-track coupling model. When the train is at high speed, adopting the fixed excitation will lead to considerable error, and the moving excitation should be used at this moment.