How to model a curved railway track subjected to a moving harmonic load is very important to solve its dynamic responses.Here, a periodically supported discrete curved Euler-Bernoulli beam was used to simulate dynamic responses of a curved track taken as a part of a circular structure periodically supported.The problem to solve dynamic responses of a curved track could be changed into one to be solved within one basic cell of track based on the dynamic property of periodic structures subjected to moving harmonic loads.Through introducing a curved track’s vibration modes and using the modes superposition method in frequency domain, its dynamic response was expressed with a series of its bending modes displacements and torsional ones in frequency domain.The study results showed that frequency ranges for significant dynamic responses of a curved track under a moving harmonic load are near load excitation frequencies; with increase in the moving speed of load, the track’s displacement responses decrease within a very narrow range near load excitation frequencies, but the track’s displacement responses within most parts of the other frequency ranges obviously increase; with increase in the moving speed of load, the peaks of the track’s responses change little, but time durations for significant responses become shorter; the effect of load moving speed on discrete supports’ parametric excitation is significant; the vertical dynamic responses of the curved track obtained with a curved beam model agree well with those obtained with a straight beam one, so a straight beam model can be adopted to approximately study the vertical responses of the curved track; when the curved track was analyzed with a precise model, curve radius has a certain effect on the track’s torsional vibration, so a curved beam model is needed to study the curved track’s dynamic responses.
杜林林1，刘维宁1，刘卫丰1，马龙祥2. 移动谐振荷载作用下曲线轨道钢轨动力响应求解方法研究[J]. 振动与冲击, 2018, 37(19): 159-165.
DU Linlin1, LIU Weining1, LIU Weifeng1, MA Longxiang2. Solving method for curved track dynamic responses under a moving harmonic load. JOURNAL OF VIBRATION AND SHOCK, 2018, 37(19): 159-165.
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