Aiming at the existing heavy-haul railway, bridges hardly meet the transportation requirements. Based on the spatial vibration calculation model of the freight train–track–bridge (FTTB) system, the FTTB spatial vibration model under the condition of auxiliary steel beam reinforcement is established. Besides, according to the random analysis method of train derailment energy, coming up with an evaluation method of auxiliary steel beam reinforcement is based on safety and dynamic response, which is used to discuss the train safety and the change law of FTTB system vibration response. The results show that the derailment resistance of the FTTB system is increased by 22.6% after the auxiliary steel beam is reinforced. Compared with the previous speed (115.56 km/h), the speed is 132.73 km/h after the auxiliary steel beam reinforcement; at the same time, the allowable limit speed increases from 92.49 km/h to 106.18 km/h. In addition, the reinforcement of the auxiliary steel beam can not only effectively reduce the lateral vibration response of the FTTB system under the action of empty wagon but also effectively decline the vertical vibration response of the FTTB system under the action of the loaded wagon, which can meet the stability requirement for running at the speed of 90 km/h. In summary, the reinforcement of auxiliary steel beams can improve the running safety of trains, reduce the vibration response of the FTTB system, and meet the requirements of operation stability.

中文翻译：

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基于运行安全和动态响应的辅助钢梁配筋效果定量评价

针对现有的重载铁路，桥梁难以满足运输要求。基于货运列车-轨道-桥梁（FTTB）系统的空间振动计算模型，建立了辅助钢梁加固条件下的FTTB空间振动模型。此外，根据列车脱轨能量的随机分析方法，提出了一种基于安全性和动态响应的辅助钢梁加固评价方法，用于探讨列车安全性和FTTB系统振动响应的变化规律。结果表明，加强辅助钢梁后，FTTB系统的抗脱轨能力提高了22.6%。与之前的速度（115.56公里/小时）相比，辅助钢梁加固后的速度为132.73公里/小时；同时，允许限速从92.49公里/小时提高到106.18公里/小时。此外，辅助钢梁的加固不仅可以有效降低FTTB系统在空车作用下的横向振动响应，还可以有效降低FTTB系统在载货车作用下的竖向振动响应。能满足90km/h速度行驶的稳定性要求。综上所述，辅助钢梁的加固可以提高列车的运行安全性，降低FTTB系统的振动响应，满足运行稳定性的要求。辅助钢梁的加固不仅能有效降低FTTB系统在空车作用下的横向振动响应，而且能有效降低FTTB系统在载货车作用下的垂直振动响应，满足以90公里/小时的速度行驶的稳定性要求。综上所述，辅助钢梁的加固可以提高列车的运行安全性，降低FTTB系统的振动响应，满足运行稳定性的要求。辅助钢梁的加固不仅能有效降低FTTB系统在空车作用下的横向振动响应，而且能有效降低FTTB系统在载货车作用下的垂直振动响应，满足以90公里/小时的速度行驶的稳定性要求。综上所述，辅助钢梁的加固可以提高列车的运行安全性，降低FTTB系统的振动响应，满足运行稳定性的要求。