运用随机平均法研究计及列车随机振动影响时受电弓的随机动力响应。首先建立列车随机振动影响下受电弓的动力学理论模型与运动微分方程,然后运用随机平均法得到关于受电弓振幅的伊藤随机微分方程,求解与该方程相应的FPK方程,从而得到计及列车随机振动影响时受电弓的稳态响应以及弓网间离线概率的解析解。结果表明,列车车体随机振动对弓网间的受流质量有较大影响,且随着列车速度的提高影响逐渐变大;随着列车振动强度增大,弓网间受流质量明显降低;当速度参数接近1,弓网间发生主共振,受流质量会严重恶化。
The simplified model of the pantograph system under the action of car body vibration is proposed.Firstly,the motion equation of the pantograph system is formulated.Then,the stochastic averaging method is applied to predict the stochastic responses of the pantograph system and the stationary contact loss probability between pantograph and contact wire.The results show that the random car body vibration has significant influence on the dynamic performance of the pantograph system.