基于弹性赫兹接触的钢轨砂带打磨材料去除建模研究

doi:10.3901/JME.2018.15.191

机械工程学报 ›› 2018, Vol. 54 ›› Issue (15): 191-198.doi: 10.3901/JME.2018.15.191

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基于弹性赫兹接触的钢轨砂带打磨材料去除建模研究

樊文刚^1,2, 刘月明^1,2, 王文玺^1,2, 李建勇^1,2, 王荣全³

1. 北京交通大学机械与电子控制工程学院北京 100044;
2. 北京交通大学载运工具先进制造与测控技术教育部重点实验室北京 100044;
3. 中铁物轨道科技服务集团有限公司北京 100053

收稿日期:2017-06-25 修回日期:2017-11-25 出版日期:2018-08-05 发布日期:2018-08-05
通讯作者: 刘月明(通信作者),男,1984年出生,博士,副教授。主要研究方向为现代钢轨打磨养护技术与装备、高效精密磨削技术。E-mail:liuym@bjtu.edu.cn
作者简介:樊文刚,男,1985年出生,博士,副教授。主要研究方向为现代钢轨打磨养护技术与装备、多轴数控加工技术。E-mail:wgfan@bjtu.edu.cn
基金资助:
国家自然科学基金（51505025）和中央高校基本科研业务费（2017JBM043）资助项目。

Research on Modeling Method of Material Removal for Rail Grinding by Abrasive Belt Based on Elastic Hertzian Contact

FAN Wengang^1,2, LIU Yueming^1,2, WANG Wenxi^1,2, LI Jianyong^1,2, WANG Rongquan³

1. School of Mechanical, Electronic and Control Engineering, Beijing Jiaotong University, Beijing 100044;
2. Key Laboratory of Vehicle Advanced Manufacturing, Measuring and Control Technology of Ministry of Education, Beijing Jiaotong University, Beijing 100044;
3. China Railway Technology Services Group Co. Ltd., Beijing 100053

Received:2017-06-25 Revised:2017-11-25 Online:2018-08-05 Published:2018-08-05

摘要/Abstract

摘要： 为揭示钢轨砂带打磨材料去除机理，针对接触轮-钢轨曲面接触和砂带表面磨粒尺寸、位置随机特点，基于弹性赫兹接触理论，分析接触轮-钢轨宏观接触区域状态，获得接触面积和名义接触压力分布；结合砂带表面磨粒出刃高度分布统计学模型与单颗磨粒微观受力分析，获得单位面积打磨压力与磨粒最大切入深度关系；综合考虑磨粒出刃高度、磨粒外形、磨粒密度、砂带旋转速度、行车作业速度、打磨压力、接触轮硬度以及接触轮与钢轨之间的相对主曲率等多项参数，最终建立钢轨砂带打磨材料去除深度数学模型和材料去除量数学模型。试验结果表明，材料去除深度与材料去除量预测值同试验结果的最大偏差分别为3.6%和11.95%，验证了上述模型的正确性和有效性。

关键词: 材料去除, 钢轨打磨, 赫兹接触, 砂带

Abstract: To investigate the material removal mechanism in rail grinding by abrasive belt, the contact situation is analyzed initially based on elastic Hertzian contact theory, the curved face touch between contact wheel and rail surface is considered. Meanwhile, the contact area as well as the contact pressure distribution is calculated. Then the relationship between grinding pressure and maximum cut depth is introduced based on statistic model of grains' protrusion height and force bearing analysis on the single grit to deal with the irregularity and randomness of grains' shape and distribution. Finally, the mathematical model of material removal depth and material removal amount are derived, involved with grains' protrusion height, grains' shape, grains' density, abrasive belt velocity, driving speed, grinding normal force, contact wheel hardness, relative principal curvature and so on. The maximum deviation between the predicted values and the experimental results for material removal depth and material removal amount are 3.6% and 11.95%, respectively, which verifies correctness and validity of the above mentioned models.

Key words: abrasive belt, Hertzian contact, material removal, rail grinding

中图分类号:

TG743

樊文刚, 刘月明, 王文玺, 李建勇, 王荣全. 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, LI Jianyong, WANG Rongquan. 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.

参考文献

[1] 金学松,杜星,郭俊,等. 钢轨打磨技术研究进展[J]. 西南交通大学学报,2010,45(1):1-11. JIN Xuesong,DU Xing,GUO Jun,et al. State of arts of research on rail grinding[J]. Journal of Southwest Jiaotong University,2010,45(1):1-11.
[2] 智少丹,李建勇,樊文刚,等. 钢轨打磨接触线模型研究[J]. 铁道学报,2013,35(10):94-99. ZHI Shaodan,LI Jianyong,FAN Wengang,et al. Research on contact line model for rail grinding[J]. Journal of the China Railway Society,2013,35(10):94-99.
[3] ZHI S,ZAREMBSKI A M,LI J,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] 郭战伟. 基于轮轨蠕滑最小化的钢轨打磨研究[J]. 中国铁道科学,2011,32(6):9-15. GUO Zhanwei. Study of rail grinding based on wheel rail creep minimization[J]. China Railway Science,2011,32(6):9-15.
[5] 刘月明,李建勇,蔡永林,等. 钢轨打磨技术现状和发展趋势[J]. 中国铁道科学,2014,35(4):29-37. LIU Yueming,LI Jianyong,CAI Yonglin,et al. Current state and development trend of rail grinding technology[J]. China Railway Science,2014,35(4):29-37.
[6] 聂蒙. 基于变参数气动结构的钢轨打磨恒功率控制技术研究[D]. 北京:北京交通大学,2015. NIE Meng. Research on constant-power control technology for rail grinding based on variable parameter pneumatic structure[D]. Beijing:Beijing Jiaotong University,2015.
[7] 智少丹,李建勇,刘月明,等. 基于磨粒切削模型的钢轨打磨机理研究[J]. 中国铁道科学,2015,36(1):33-39. ZHI Shaodan,LI Jianyong,LIU Yueming,et al. Rail grinding mechanism based on grain cutting model[J]. China Railway Science,2015,36(1):33-39.
[8] 智少丹,李建勇,蔡永林,等. 基于标准廓形钢轨的打磨模式机理[J]. 中南大学学报,2015(6):2027-2035. ZHI Shaodan,LI Jianyong,CAI Yonglin,et al. Mechanisms of rail grinding patterns based on standard rail profile[J]. Journal of Central South University:Nature Science,2015(6):2027-2035.
[9] GU K K,LIN Q,WANG W J,et al. Analysis on the effects of rotational speed of grinding stone on removal behavior of rail ma-terial[J]. Wear,2015,342(3):52-59.
[10] 顾凯凯,王文健,郭俊,等. 钢轨-磨石相互作用的摩擦学模拟试验研究[J]. 摩擦学学报,2015,32(2):154-159. GU Kaikai,WANG Wenjian,GUO Jun,et al. Tribological simulation experiment of interactions between rail and grinding stone[J]. Tribology,2015,32(2):154-159.
[11] 言兰,融亦鸣,姜峰. 氧化铝砂轮地貌的量化评价及数学建模[J]. 机械工程学报,2011,47(17):179-186. YAN Lan,RONG Yiming,JIANG Feng. Quantitive evaluation and modeling of alumina grinding wheel surface topography[J]. Journal of Mechanical Engineering,2011,47(17):179-186.
[12] MEZGHANI S,El MANSORI M. Abrasiveness properties assessment of coated abrasives for precision belt grinding[J]. Surface and Coatings Technology,2008,203(5):786-789.
[13] 孔祥安,江晓禹,金学松. 固体接触力学[M]. 北京:中国铁道出版社,1999. KONG Xiangan,JIANG Xiaoyu,JIN Xuesong. Solid contact mechanics[M]. Beijing:China Railway Press,1999.
[14] 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 re-moval depth[J]. China Mechanical Engineering,2011,22(3):300-304.
[15] 温诗铸. 摩擦学原理[M]. 北京:清华大学出版社,1990. WEN Shizhu. Principles of tribology[M]. Beijing:Tsinghua University Press,1990.
[16] ZHAO Y,MAIETTA D M,CHANG L. An asperity microcontact model incorporating the transition from elastic deformation to fully plastic flow[J]. Journal of Tribology,2000,122(1):86-93.
[17] JOURANI A,HAGÈGE B,BOUVIER S,et al. Influence of abrasive grain geometry on friction coefficient and wear rate in belt finish-ing[J]. Tribology International,2013,59:30-37.
[18] LIU Z,SUN J,SHEN W. Study of plowing and friction at the surfaces of plastic deformed metals[J]. Tribology International,2002,35(8):511-522.
[19] JIANG J,SHENG F,REN F. Modelling of two-body abrasive wear under multiple contact conditions[J]. Wear,1998,217(1):35-45.
[20] HOKKIRIGAWA K,KATO K,LI Z Z. The effect of hardness on the transition of the abrasive wear mechanism of steels[J]. Wear,1988,123(2):241-251.
[21] HOKKIRIGAWA K,KATO K. An experimental and theoretical investigation of ploughing,cutting and wedge formation during abrasive wear[J]. Tribology International,1988,21(1):51-57.
[22] WANG W,LI J,FAN W,et al. Characteristic quantitative evaluation and stochastic modeling of surface topography for zirconia alumina abrasive belt[J]. International Journal of Advanced Manufacturing Technology,2017,89(9-12):3059-3069.

基于弹性赫兹接触的钢轨砂带打磨材料去除建模研究

Research on Modeling Method of Material Removal for Rail Grinding by Abrasive Belt Based on Elastic Hertzian Contact

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