Macro Contact Pressure Modeling and Simulation for Rail Grinding with Abrasive Belt Based on Curvature Match

doi:10.3901/JME.2020.02.154

Abstract

Abstract: Rail grinding with abrasive belt essentially appears as the complex nonlinear contact interaction among contact wheel, abrasive belt and rail surface, the contact stresses calculation in which is the basis of modeling of material removal, grinding temperature and abrasive belt wear. However, the existing contact model for the concave contact wheel falls to consider the applicability of the Hertz theory and the effect of the "wheel" curvature matching. Based on the geometric matching between the radius curvature of concave wheel and that of rail profile, and also the influence of external contact pressure on rubber deformation of contact wheel, the macro contact of abrasive belt rail grinding is divided into three cases, including oval contact, double triangular contact and saddle contact. Then, this 3D contact problem is translated into 2D plane contact problem between the circular rigid body covered with thin elastic rubber layer and the rigid plane. Finally, the theoretical models for boundary curve and contact stress distribution are developed, and the finite element simulations are also implemented. Results show that almost identical contours of oval contact, double triangular contact and saddle contact can be obtained through the theoretical model and the simulation model, and the errors of main parameters are all within the allowable range of grinding condition for the rail grinding with abrasive belt, which verifies the validity of the proposed theoretical model. The proposed theoretical model has improved the existing model and laid a theoretical foundation for the modeling of grinding material removal for abrasive belt rail grinding using concave wheel.

Key words: rail grinding, abrasive belt, contact, curvature match

CLC Number:

TG742

FAN Wengang, WANG Wenxi, HOU Guangyou, WANG Xuhui. Macro Contact Pressure Modeling and Simulation for Rail Grinding with Abrasive Belt Based on Curvature Match[J]. Journal of Mechanical Engineering, 2020, 56(2): 154-162.

References

[1] ERIC E M,JOSEPH K. The application of contact mechanics to rail profile design and rail grinding[J]. Wear,2002,253(1):308-316.
[2] 樊文刚,刘月明,李建勇. 高速铁路钢轨打磨技术的发展现状与展望[J]. 机械工程学报,2018,54(22):184-193. FAN Wengang,LIU Yueming,Li Jianyong. Development status and prospect of rail grinding technology for high speed railway[J]. Journal of Mechanical Engineering,2018,54(22):184-193.
[3] ZHI S,ZAREMBSKI A M,LI J Y,et al. Towards a better understanding of the rail grinding mechanism[C]//ASME 2013 Rail Transportation Division Fall Technical Conference. Altoona:American Society of Mechanical Engineers,Rail Transportation Division RTD,2013,15-17.
[4] ZAREMBSKI A M. The art and science of rail grinding[M]. Omaha:Simmons-Boardman Books,2005.
[5] ZAREMBSKI A M. Grinding as part of rail management strategy[J]. Railway Track & Structures,2008,104(6):55-58.
[6] ZAREMBSKI A M. High-speed rail grinding and metal removal[J]. Railway Track & Structures,2012,108(6):44-46.
[7] ZHI S,LI J,ZAREMBSKI A M. Predictive modeling of the rail grinding process using a distributed cutting grain approach[J]. Proceedings of the Institution of Mechanical Engineers Part F:Journal of Rail & Rapid Transit,2016,230(6):1540-1560.
[8] GU K,LIN Q,WANG W,et al. Analysis on the effects of rotational speed of grinding stone on removal behavior of rail material[J]. Wear,2015,342-343(3):52-59.
[9] SINGLETON R,MARSHALL M B,LEWIS R,et al. Rail grinding for the 21st century——taking a lead from the aerospace industry[J]. Proceedings of the Institution of Mechanical Engineers Part F:Journal of Rail & Rapid Transit,2015,229(5):457-465.
[10] UHLMANN E,LYPOVKA P,HOCHSCHILD L,et al. Influence of rail grinding process parameters on rail surface roughness and surface layer hardness[J]. Wear,2016,366-367:287-293.
[11] 刘真兵. 钢轨铣磨车磨削装置设计及磨削力控制研究[D]. 长沙:中南大学,2013. LIU Zhenbing. The design of rail milling train grinding equipment and the research of the grinding force control[D]. Changsha:Central South University,2013.
[12] 胡军科,蒋亚军,方健康,等. 钢轨铣磨车磨削力的广义预测控制[J]. 中国铁道科学,2014,35(6):84-90. HU Junke,JIANG Yajun,FANG Jiankang,et al. Generalized predictive control of the grinding force of rail milling train[J]. China Railway Science,2014,35(6):84-90.
[13] 占国栋. 钢轨铣磨车铣刀盘设计与优化研究[D]. 长沙:湖南大学,2016. ZHAN Guodong. Design and optimization research of the milling cutter for rail milling train[D]. Changsha:Hunan University,2016.
[14] 许孝堂,王衡禹,吴磊,等. 水介质对钢轨高速被动式打磨影响的试验研究[J]. 润滑与密封,2016,41(11):41-44. XU Xiaotang,WANG Hengyu,WU Lei,et al. An experimental study on high-speed rail grinding under wet condition[J]. Lubrication Engineering,2016,41(11):41-44.
[15] 许孝堂. 钢轨高速打磨机理研究[D]. 成都:西南交通大学,2016. XU Xiaotang. Study on the mechanism of rail high speed grinding[D]. Chengdu:Southwest Jiaotong University,2016.
[16] 王荣全. 面向钢轨打磨的砂带磨削过程建模与实验研究[D]. 北京:北京交通大学,2016. WANG Rongquan. The modeling and experimental research of belt-grinding process in rail grinding[D]. Beijing:Beijing Jiaotong University,2016.
[17] HE Z,LI J Y,LIU Y M,et al. Investigating the effects of contact pressure on rail material abrasive belt grinding performance[J]. International Journal of Advanced Manufacturing Technology,2017,93(1-4):779-786.
[18] 王文玺,李建勇,樊文刚,等. 面向钢轨砂带打磨的砂带磨耗过程建模[J]. 西南交通大学学报,2017,52(1):141-147. WANG Wenxi,LI Jianyong,FAN Wengnag,et al. Abrasion process modeling of abrasive belt grinding in rail maintenance[J]. Journal of Southwest Jiaotong University,2017,52(1),141-147.
[19] 王文玺,李建勇,樊文刚,等. 基于赫兹接触的钢轨砂带打磨功率预测模型[J]. 中国铁道科学,2017,38(3):25-30. WANG Wenxi,LI Jianyong,FAN Wengnag,et al. Grinding power prediction model for abrasive belt rail grinding based on Hertzian contact[J]. China Railway Science,2017,38(3):25-30.
[20] 樊文刚,刘月明,王文玺,等. 基于弹性赫兹接触的钢轨砂带打磨材料去除建模研究[J]. 机械工程学报,2018,54(15):191-198. FAN Wengang,LIU Yueming,Wang Wenxi,et al. Research on modeling method of material removal for rail grinding by abrasive belt based on elastic Hertzian contact[J]. Journal of Mechanical Engineering,2018,54(15):191-198.
[21] 吴昌林,丁和艳,陈义. 铝合金车轮CNC机械抛光材料去除深度建模方法研究[J]. 中国机械工程,2009,20(21):2558-2562. WU Changlin,DING Heyan,CHEN Yi. Research on modeling method of material removal depth in CNC mechanical polishing for aluminum alloy wheel[J]. China Mechanical Engineering,2009,20(21):2558-2562.
[22] 吴昌林,丁和艳,陈义. 材料去除深度与磨粒的关系建模方法研究[J]. 中国机械工程,2011,22(3):300-304. WU Changlin,DING Heyan,CHEN Yi. Research on modeling method of relation between abrasive grain and material removal depth[J]. China Mechanical Engineering,2011,22(3):300-304.
[23] WANG W,LIU F,LIU Z,et al. Prediction of depth of cut for robotic belt grinding[J]. International Journal of Advanced Manufacturing Technology,2017,91(1-4):699-708.
[24] XIAO G,HUANG Y. Adaptive belt precision grinding for the weak rigidity deformation of blisk leading and trailing edge[J]. Advances in Mechanical Engineering,2017,9(10):1-12.
[25] WANG Y,HUANG Y,CHEN Y,et al. Model of an abrasive belt grinding surface removal contour and its application[J]. International Journal of Advanced Manufacturing Technology,2016,82(9-12):2113-2122.
[26] QI J,ZHANG D,LI S,et al. Modeling and prediction of surface roughness in belt polishing based on artificial neural network[J]. Proceedings of the Institution of Mechanical Engineers,Part B:Journal of Engineering Manufacture,2018,232(12):2154-2163.
[27] LI H,LI X,CHEN Z,et al. The simulation of surface topography generation in multi-pass sanding processes through virtual belt and kinetics model[J]. International Journal of Advanced Manufacturing Technology,2018,97(9-12):2125-2140.
[28] JOURANI A,HAGEGE B,BOUVIER S,et al. Influence of abrasive grain geometry on friction coefficient and wear rate in belt finishing[J]. Tribology International,2013,59:30-37.
[29] JOURANI A. Three dimensional modelling of temperature distribution during belt finishing[J]. International Journal of Surface Science and Engineering,2015,9(2-3):231-246.
[30] JOURANI A,BIGERELLE M,PETIT L,et al. Local coefficient of friction,sub-surface stresses and temperature distribution during sliding contact[J]. International Journal of Materials & Product Technology,2010,38(SI):44-56.
[31] 樊文刚,程继发,吴月峰,等. 基于内凹型接触轮的钢轨砂带打磨静态接触行为与仿真研究[J]. 机械工程学报,2018,54(14):152-158. FAN Wengang,CHENG Jifa,WU Yuefeng,et al. Research on static contact behavior and simulation for rail grinding by abrasive belt based on concave type contact wheel[J]. Journal of Mechanical Engineering,2018,54(14):152-158.
[32] 樊文刚,程继发,吕洪宾,等. 波浪型面钢轨砂带打磨时变接触行为与仿真研究[J]. 机械工程学报,2018,54(4):87-92. FAN Wengang,CHENG Jifa,LÜ Hongbin,et al. Research on time-varying contact behavior and simulation for waved rail surface grinding by abrasive belt[J]. Journal of Mechanical Engineering,2018,54(4):87-92.
[33] COSTE C,FALCON E,FAUVE S. Solitary waves in a chain of beads under Hertz contact[J]. Physical Review E,1997,56(5):6104-6117.
[34] 周清跃,张银花,田常海,等. 60N钢轨的廓型设计及试验研究[J]. 中国铁道科学,2014,35(2):128-135. ZHOU Qingyue,ZHANG Yinhua,TIAN Changhai,et al. Profile design and test study of 60n rail[J]. China Railway Science,2014,35(2):128-135.
[35] POPOV V L. Contact mechanics and friction[M]. Berlin:Springer Heidelberg,2010.
[36] YANG Z,DENG X,LI Z. Numerical modeling of dynamic frictional rolling contact with an explicit finite element method[J]. Tribology International,2019,129:214-231.
[37] DOLBOW J,MOËS N,BELYTSCHKO T. An extended finite element method for modeling crack growth with frictional contact[J]. Computer Methods in Applied Mechanics and Engineering,2001,190(51-52):6825-6846.
[38] DONAHUE T L H,HULL M L,RASHID M M,et al. A finite element model of the human knee joint for the study of tibio-femoral contact[J]. Journal of Biomechanical Engineering,2002,124(3):273-280.