Derivations and Applications of Stick-Slip Boundaries for 2 Creep Theories

CHENG Chang; WANG Yaowei; LU Chenxu; CHEN Dilai

doi:10.21656/1000-0887.450317

Volume 46 Issue 8

Aug. 2025

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CHENG Chang, WANG Yaowei, LU Chenxu, CHEN Dilai. Derivations and Applications of Stick-Slip Boundaries for 2 Creep Theories[J]. Applied Mathematics and Mechanics, 2025, 46(8): 1050-1063. doi: 10.21656/1000-0887.450317

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Derivations and Applications of Stick-Slip Boundaries for 2 Creep Theories

doi: 10.21656/1000-0887.450317

1. Changzhou Vocational Institute of Industry Technology, Changzhou, Jiangsu 213164, P.R.China;
2. Shanghai Institute of Technology, Shanghai 201418, P.R.China

Received Date: 2024-11-20
Rev Recd Date: 2025-03-24

Available Online: 2025-09-10

Abstract

Abstract

The analytical solution helps better understand the effects of creep and spin on the stick-slip zone distributions and quickly determine the stick-slip distributions of contact patches. Therefore, the analytical expressions of stick-slip boundaries of the Kalker simplified theory and the Polach theory were derived and applied to the wheel-rail wear calculation. The calculation results show that, with small creepages and major axis-to-minor axis ratios of the contact patches, the stick-slip divisions and stress distributions obtained by the 2 theories are consistent. With the increases of the creepage and the major axis-to-minor axis ratio, the results gradually differ. For the wet rail surface, the slip zone proportion will increase significantly, but the wear rate will decrease by 20%~30%. The braking level has a significant effect on the wear rate, and the emergency braking causes a significant increase in wear compared to the normal braking. The increase of the train speed raises the wheel-rail sliding speed and aggravates the wear rate.
- Polach theory,
- Hertz contact,
- stick-slip division,
- wheel-rail creep,
- wheel-rail wear

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References(25)

References

[2]程亚平, 李志刚, 张强. 钢绞线丝间变形与感应加热效果数学模型的研究[J]. 应用数学和力学, 2016,37(9): 915-923. (CHENG Yaping, LI Zhigang, ZHANG Qiang. Mathematical models for deformation between steel strand wires and induction heating effects[J].Applied Mathematics and Mechanics,2016,37(9): 915-923. (in Chinese))

HERTZ H. Uber die berührung fester elastischer korper[J].Journal für Die Reine und Angewandte Mathematik,1882,92: 156-171.

[3]CARTER F W. On the action of a locomotive driving wheel[J].Proceedings of the Royal Society of London,1926,112(760): 151-157.

[4]VERMEULEN P J, JOHNSON K L. Contact of nonspherical elastic bodies transmitting tangential forces[J].Journal of Applied Mechanics,1964,31(2): 338-340.

[5]KALKER J J. On the rolling contact of two elastic bodies in the presence of dry friction[R]. 1967.

[6]KALKER J J. The computation of three-dimensional rolling contact with dry friction[J].International Journal for Numerical Methods in Engineering,1979,14(9): 1293-1307.

[7]KALKER J J. A fast algorithm for the simplified theory of rolling contact[J].Vehicle System Dynamics,1982,11(1): 1-13.

[8]SHEN Z Y, HEDRICK J K, ELKINS J A. A comparison of alternative creep force models for rail vehicle dynamic analysis [J].Vehicle System Dynamics,1983,12(1/3): 79-83.

[9]POLACH O. A fast wheel-rail forces calculation computer code[J].Vehicle System Dynamics,1999,33: 728-739.

[10]罗仁, 曾京, 戴焕云, 等. 高速列车车轮磨耗预测仿真[J]. 摩擦学学报, 2009,29(6): 551-558. (LUO Ren, ZENG Jing, DAI Huanyun, et al. Simulation on wheel wear prediction of high-speed train[J].Tribology,2009,29(6): 551-558. (in Chinese))

[11]丁军君, 李芾, 黄运华. 基于蠕滑机理的车轮磨耗模型分析[J]. 中国铁道科学, 2010,31(5): 66-72. (DING Junjun, LI Fu, HUANG Yunhua. Analysis of the wheel wear model based on the creep mechanism[J].China Railway Science,2010,31(5): 66-72. (in Chinese))

[12]朱文良, 郑树彬, 吴娜, 等. 适用于制动工况下的轮轨低黏着改进模型[J]. 铁道学报, 2021,43(3): 34-41. (ZHU Wenliang, ZHENG Shubin, WU Na, et al. Improved model for degraded wheel-rail adhesion under braking conditions[J].Journal of the China Railway Society,2021,43(3): 34-41. (in Chinese))

[13]安博洋, 王平, 徐义新, 等. 基于POLACH方法的轮轨蠕滑曲线研究[J]. 机械工程学报, 2018,54(4): 124-131. (AN Boyang, WANG Ping, XU Yixin, et al. Study on wheel/rail creep curve based on POLACH’s method[J].Journal of Mechanical Engineering,2018,54(4): 124-131. (in Chinese))

[14]王平, 宋娟, 杨春凯, 等. 实测轮轨蠕滑曲线对钢轨磨耗影响分析[J]. 西南交通大学学报, 2024,59(5): 1034-1042. (WANG Ping, SONG Juan, YANG Chunkai, et al. Effect of measured wheel-rail creep curves on rail wear[J].Journal of Southwest Jiaotong University,2024,59(5): 1034-1042. (in Chinese))

[15]宋娟, 王平, 陈雨, 等. 实测轮轨蠕滑曲线对车辆-轨道动态相互作用的影响分析[J]. 铁道标准设计, 2023,67(6): 45-52. (SONG Juan, WANG Ping, CHEN Yu, et al. Influence of measured wheel-rail creep curves on vehicle-track dynamic interaction[J].Railway Standard Design,2023,67(6): 45-52. (in Chinese))

[16]陈爽, 陈雨, 潘自立, 等. 基于FASTSIM和TRIAL算法的轮轨切向接触模型研究[J]. 高速铁路技术, 2023,14(6): 62-67. (CHEN Shuang, CHEN Yu, PAN Zili, et al. A study on tangential wheel-rail contact model based on FASTSIM and TRIAL algorithms[J].High Speed Railway Technology,2023,14(6): 62-67. (in Chinese))

[17]YANG Y, DING J T, LI F, et al. Longitudinal vibration of a resilient wheel under the adhesion limit [J].Proceedings of the Institution of Mechanical Engineers (Part F): Journal of Rail and Rapid Transit,2019,233(4): 370-381.

[18]鲁昌霖, 王志伟, 王权, 等. 考虑轮轨蠕滑的高速列车制动非线性振动行为研究[J]. 重庆理工大学学报(自然科学), 2023,37(6): 10-19. (LU Changlin, WANG Zhiwei, WANG Quan, et al. Research on nonlinear braking vibration of high-speed trains considering wheel-rail creep[J].Journal of Chongqing University of Technology (Natural Science), 2023,37(6): 10-19. (in Chinese))

[19]ZIREK A, VOLTR P, LATA M, et al. An adaptive sliding mode control to stabilize wheel slip and improve traction performance[J].Proceedings of the Institution of Mechanical Engineers (Part F): Journal of Rail and Rapid Transit,2018,232(10): 2392-2405.

[20]QI Y, DAI H. Influence of motor harmonic torque on wheel wear in high-speed trains[J].Proceedings of the Institution of Mechanical Engineers (Part F): Journal of Rail and Rapid Transit,2020,234(1): 32-42.

[21]王志强, 雷震宇. 谐波型波磨激扰下轮轨系统接触蠕滑特性[J]. 计算力学学报, 2020,37(6): 735-742. (WANG Zhiqiang, LEI Zhenyu. Contact and creep characteristics of wheelrail system under harmonic corrugation excitation[J].Chinese Journal of Computational Mechanics,2020,37(6): 735-742. ( in Chinese))

[22]李可, 刘学文, 张经纬, 等. 低阶谐波磨耗轮对引起的轮轨及等效人体动态响应分析[J]. 计算力学学报, 2020,37(1): 42-47. (LI Ke, LIU Xuewen, ZHANG Jingwei, et al. Analysis of wheel-rail and equivalent human dynamic response due to low-order harmonic wear wheel-sets[J].Chinese Journal of Computational Mechanics,2020,37(1): 42-47. (in Chinese))

[23]XIAO G W, WU B, YAO L Q, et al. The traction behaviour of high-speed train under low adhesion condition[J].Engineering Failure Analysis,2022,131: 105858.

[24]LU C X, CHEN D L, SHI J, et al. Research on wheel-rail dynamic interaction of high-speed railway under low adhesion condition[J].Engineering Failure Analysis,2024,157: 107935.

[25]JENDEL T. Prediction of wheel profile wear: comparisons with field measurements[J].Wear,2002,253(1/2): 89-99.

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