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Abstract: The objective of this paper is to develop a new wheel-rail contact model, which is suitable for considering the effect of wheelset bending deformation on wheel-rail contact behavior at high speeds. Dummies of the two half rigid wheelset are introduced to describe the spacial positions of the wheels of the deformed wheelset. In modeling the flexible wheelset, the first two wheelset bending modes are considered. Based on the modal synthesis method, these mode values of the wheelset axle are used to solve the motion equations of the flexible wheelset axle modeled as an Euler-Bernoulli beam. The wheel is assumed to be rigid and always perpendicular to the deformed axle at the wheel centre. In the vehicle model, two bogies and one car body are modeled as lumped masses. Spring-damper elements are adopted to model the primary and secondary suspension systems. The ballasted track is modeled as a triple layer discrete elastic supported model. Two high-speed vehicle-track models, one considering rigid wheelset models and the other considering flexible wheelset models, are used to analyze the differences of the numerical results of the two models in both frequency and time domains. In the simulation, a random high-speed railway track irregularity is used as wheel-rail excitations. Wheel-rail forces are calculated and analyzed in the time and frequency domains. The results clarify that this new contact model can characterize very well the influence of the first two bending modes of the wheelset on contact behavior.

轮对前2阶弯曲模态对动力学行为的影响

扩展动力学模型的分析频域，建立能考虑轮对柔性的车辆轨道耦合动力学系统模型，为研究轮轨磨耗的形成和发展以及轮轨噪声的来源提供基础。 利用欧拉梁横向弯曲模型，建立轮轴在垂直于轨道平面和平行于轨道平面内的弯曲振动模型；建立考虑轮轴弯曲的轮对模型与轮轨接触模块之间的耦合关系，进而研究轮轨接触行为受轮轴弯曲变形的影响。 1. 把轮轴模拟为欧拉梁，左右车轮模拟为固结于轮轴上的质量块；2. 假设左右车轮始终垂直于轮轴，引入虚拟的两个半边刚性轮对模型，建立轮轨接触模型和柔性轮对耦合的关系；3. 基于多刚体车辆-轨道耦合动力学模型，利用以上柔性轮对模型和此耦合关系，建立考虑轮轴柔性的车辆-轨道耦合动力学模型。 1. 建立的刚柔耦合的车辆-轨道耦合动力学模型能够有效地描述轮轴弯曲对轮轨接触行为的影响；2. 在0-150 Hz的随机不平顺激励下，多刚体模型和考虑轮对柔性的模型受到的轮轨力和轮轨接触点轨迹不同；这主要是由第1阶弯曲模态被激发导致。
高速铁路车辆；轮轨接触行为；刚性轮对；柔性轮对；模态分析；随机轨道不平顺

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