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本文采用将桥梁和车辆作为一个系统考虑的方法,通过考虑磨耗型踏面的轮轨接触关系和车桥空间耦合关系,应用势能变分原理,建立了列车和桥梁两个结构物一体振动的运动方程。然后以沪杭线41~#桥上行驶 YZ_(22)客车,N_1型货车和 ND_2机车为例,研究了桁粱有载自振特性,计算值与实测值良好吻合,从理论上证明了:将桥梁无载自振频率作为共振频率的概念不符合实际;直接将列车质量加入桁梁进行桁梁有载自振分析的方法十分粗糙。此外还对有载自振振型和频率的变化规律以及列车过桥时有载自振频率的变化规律进行了研究。
In this paper, the bridge and vehicle are taken as a systematic consideration. By considering the wheel-rail contact relationship and the space coupling relationship of the worn tread, the potential equation of motion variational principle is used to establish the motion equation of the integral vibration of the two structures . Then the YZ_ (22) passenger cars, N_1 trucks and ND_2 locomotives on the Shanghai-Hangzhou line 41 ~ # bridge are taken as an example to study the self-vibration characteristics of the girder. The calculated values are in good agreement with the measured values. It is theoretically proved that: The concept of unloaded natural frequency of bridge as the resonant frequency is not in accordance with the actual situation. The method of directly adding the mass of train to the truss girder for the self-vibration analysis of truss girder is very rough. In addition, the variation law of self-vibration mode and frequency of the load and the variation rule of the natural frequency of the load when the train passes the bridge are also studied.