简支梁桥有载频率分析
Analysis of Loaded Frequency of Simply-Supported Beam Bridge
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摘要: 根据桥梁固有频率的定义求解桥梁振动微分方程,给出了列车荷载作用下简支梁桥有载频率的解析表 达式.研究表明,桥梁有载频率与其上作用车辆的简化模型、过桥车辆数、行车速度以及桥梁跨度等有关:1辆车 简化为4个或2个轮对时,桥梁有载频率很接近,比较符合实际情况;车辆总长超过桥梁跨度时,桥梁有载频率 呈稳定的周期性变化;桥梁有载频率随时间变化,与车辆在桥上的位置有关,且行车速度越快,频率变化越快.Abstract: Based on the definition of natural bridge frequency, the analytical expression of loaded frequency of a simply-supported beam bridge under train loads was given through solving the vibration differential equation for bridges . The research shows that the loaded frequency of a bridge is in relation to the simplified models of a vehicle, the number of vehicles passing the bridge, train speed, bridge span and so on. The loaded frequency obtained is very proximate to the actual value when a vehicle is simplified as 4 or 2 wheelsets. It varies periodically when the total length of a train is larger than the bridge span. Furthermore, the loaded bridge frequency changeswithtime, relative tothe location ofvehicles on a bridge, and the faster a train moves, the more quickly the frequency varies.
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