Calculation of Wheel Wear Based on Semi-Hertzian Contact
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摘要: 为了分析轮轨接触模型对车轮磨耗计算的影响,基于半赫兹接触、赫兹接触和Kalker完全理论程序 CONTACT分别计算轮轨接触应力和接触斑形状,并在Kalker简化理论基础上求解半赫兹接触的蠕滑力;基于 Archard磨耗模型,计算车轮磨耗深度在踏面上的分布.计算结果表明:由于半赫兹接触考虑了接触斑内曲率的 变化,则接触斑形状和最大接触应力比赫兹接触更接近于CONTACT 计算结果;在大自旋蠕滑工况下,应用半 赫兹接触得到的横向蠕滑力与CONTACT计算结果有较大偏差,其余工况相差不超过18%;基于半赫兹接触的 FASTSIM 计算时间约为基于赫兹接触的6倍,是CONTACT计算时间的1/166;半赫兹接触时,考虑弹性滑动 速度的车轮磨耗深度更接近于CONTACT计算结果.Abstract: To study the effect of wheel/rail contact theory on wheel wear calculation, wheel/rail contact stress and contact patch were analyzed using the semi-Hertzian contact theory, the Hertzian contact theory and the CONTACT program of Kalker's exact theory. Then, the creep forces under semi-Hertzian contact were solved by Kalker's simplified theory using the numerical program FASTSIM, and the wear depths of wheel profile were calculated based on Archard wear model. The results indicate that the contact patch and maximal contact stress calculated by semi-Hertzian theory are more closer to CONTACT's than that by Hertzian theory, because the varied curvatures in contact patch are considered in the semi-Hertzian theory; the error of creep forces between semi-Hertzian theory and CONTACT does not exceed 18%, except the lateral creep force in large spin creep condition; the computing time of the FASTSIM algorithm based on semi-Hertzian theory is 6 times that based on Hertzian theory and 1/166 of the CONTACT's; and, the wheel wear depth calculated by semi-Hertzian theory agrees well with CONTACT's when the elastic velocity is considered.
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Key words:
- wheel/rail contact /
- semi-Hertzian contact /
- CONTACT /
- FASTSIM /
- wheel wear
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