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本文是应用随机振动理论分析桁架桥在列车通过时的横向振动。以中等跨度(L<100m)桁架桥为对象,桁架结构采用铰结空间节间单元,每一单元在节点处有五个变位自由度。车辆是采用有摇枕的非线性弹簧体系货车车厢。在计算中,考虑了轨道不平顺(包括轨距偏差、左右轨高程偏差及轨道中心横向偏差)以及轮轨间蛇行这两个引起横向振动的因素。采用模拟随机变量、两次滤波以及逐次推进法解随机振动方程。根据计算结果表明,蛇行是引起横向振动的主要因素,轨道不平顺则是次要的。对于中等跨度的桥梁,横向振动振幅将随着车速的增加而增大。计算结果与实测成果基本相符。
In this paper, we use the theory of random vibration to analyze the lateral vibration of truss bridge when passing train. For medium span (L <100m) truss bridges, the truss structure uses knuckle joint internals, each unit has five displacement degrees of freedom at the nodes. The vehicle is a non-linear spring system truck with bolster. In the calculation, two factors that cause lateral vibration such as track irregularity (including gauge deviation, left-right track deviation and center-of-track deviation) and meandering between wheels and rails are considered. Stochastic vibration equations are solved by simulating random variables, twice filtering and successive advancing methods. According to the calculation results, it is shown that hunting is the main factor causing lateral vibration, and the track irregularity is secondary. For a medium-span bridge, the amplitude of the lateral vibration will increase as the vehicle speed increases. The calculated results are basically in line with the measured results.