The vibration performance of a tram vehicle running on the curved track is influenced by the speed of the running vehicle, the geometry of the track, the roughness of the wheel and rail, and environmental characteristics. This paper investigates the random vibration analysis of tram-track interaction on a curved track due to the polygonal wheel and track irregularity by the pseudo excitation method (PEM). The dynamic behaviour of tram-track interaction on a curve is modelled using the finite element method (FEM) and multi-body system (MBS). The field tests were carried out to acquire the rail vibration and deformation response, and also measuring the polygonal wheel wear profile to analyse and validate the dynamic behaviour tram-curved track model. The influence of the polygonal wheel on the vibration of tram-curved track coupled system and the wheel-rail contact responses are investigated by considering the wheelset flexibility. The results are illustrated through comparison between with and without the polygonal wheel in terms of time and frequency domain. The numerical results suggest that the wheelset flexibility under the polygonal wheel wear excitation would aggravate the vibration mode of the rail, car-body and axle-box, and also increase the dynamic wheel-rail contact force and creepage.

在曲线轨道上行驶的有轨电车车辆的振动性能受行驶车辆的速度、轨道的几何形状、轮轨的粗糙度和环境特性的影响。本文利用伪激励法（PEM）研究了由于多边形车轮和轨道不规则性导致的有轨电车轨道相互作用的随机振动分析。使用有限元法 (FEM) 和多体系统 (MBS) 对曲线上电车轨道相互作用的动态行为进行建模。进行现场试验以获取钢轨振动和变形响应，并测量多边形车轮磨损轮廓，以分析和验证有轨电车曲线模型的动态行为。考虑轮对柔度，研究了多边形车轮对有轨电车曲线耦合系统振动和轮轨接触响应的影响。通过在时域和频域方面比较有无多边形轮来说明结果。数值结果表明，多边形车轮磨损激励下的轮对柔度会加剧钢轨、车体和轴箱的振动模式，也会增加动态轮轨接触力和爬电距离。