基于Brockley轮轨系统的摩擦自激振动引起钢轨的磨耗型波磨的理论，本文建立了车辆稳态通过小半径曲线时由轮对－钢轨－轨枕弹簧组成的系统有限元弹性振动模型，在模型中假设轮轨蠕滑力饱和且等于法向力与摩擦系数的乘积，应用有限元软件ABAQUS分析该模型的运动稳定性。计算结果显示，当摩擦系数μ>0.28时，轮轨系统在饱和蠕滑力作用下存在很强的自激振动趋势。这种自激振动可能是引起小半径曲线线路上内轨短波波磨的原因。研究了轨枕支撑弹簧刚度和阻尼对钢轨波磨的影响，发现较软的轨枕支撑弹簧刚度和合适的轨枕支撑阻尼可以抑制曲线线路上内轨的短波波磨。研究也发现，把离散轨枕弹簧支撑改为连续弹簧支撑，仍然不能完全消除这种磨耗型钢轨波磨。

According to Brockley’s theory that friction-induced vibration causes rail corrugation, an elastic vibration model of a wheelset-track system when a vehicle negotiates a tight curve at a steady state is established, which includes a wheelset, two rails and a series of sleeper support springs and dampers. In the model, the creep forces between the wheels and rails are assumed to be saturated and equal to the normal contact forces multiplied by a friction coefficient. The motion stability of the model is analyzed using ABAQUS package. It is found that when the friction coefficient μ>0.28, there are propensities of unstable self-excited vibration which is a possible mechanism for the short-pitch corrugation occurred on the low rail. The influence of the sleeper support stiffness and damping on rail corrugation is studied by use of the model. The results show that softer sleeper support stiffness and appropriate damping may suppress rail corrugation. It is also found that similar to the discrete sleeper support, the continuous sleeper support can not eliminate wear-type rail corrugation.