Construction and Analysis of Grinding Force Model of 20CrMnTi Steel Tooth Surface

doi:10.3901/JME.2018.03.227

Abstract

Abstract: To further study the mechanism and rule of grinding force of 20CrMnTi steel, theoretical and mathematical model of the grinding force of single grits, maximum undeformed chip thickness, and the grinding force of tooth surface is established, which is on the basis of contact deformation zone based on Lawn indentation model and triangular cross section chip. Grinding force mainly comes from the chip deformation and friction, and the effect of grinding size exists. Grinding force increases with the increase of grinding depth, feed rate, material hardness, and top cone angle of abrasive grains. However, it decreases with the increase of grinding speed and grinding wheel diameter. In the wear process of grinding wheel, the change of grinding wheel characteristic parameters has a great influence on the grinding force. Based on the theoretical model analysis, the local grinding test of tooth surface is carried out. It also gives a detailed analysis on the residuals and F measure of the fitting curve to grinding force with variable under the different constant α situations.

Key words: 20CrMnTi steel, grinding force, grinding mechanism, tooth surface

CLC Number:

TG580

TIAN Xinli, WANG Long, LIU Qian, TANG Xiujian, YANG Lijun, YANG Xuqi. Construction and Analysis of Grinding Force Model of 20CrMnTi Steel Tooth Surface[J]. Journal of Mechanical Engineering, 2018, 54(3): 227-232.

References

[1] HECKER R L,LIANG S Y,WU X J,et al. Grinding force and power modeling based on chip thickness analysis[J]. International Journal of Advanced Manufacturing Technology,2007,33:449-459.
[2] WERNER G. Influence of work material on grinding force[J]. Annals of CIRP,1978,27(1):243-248.
[3] MALKIN S. Grinding technology:Theory and applications of machining with abrasives[M]. New York:Industrial Press,2008.
[4] 李力钧,付杰才. 磨削力的数学模型的研究[J]. 机械工程学报,1981,17(4):31-41. LI Lijun,FU Jiecai. Research on mathematical model of grinding force[J]. Chinese Journal of Mechanical Engineering,1981,17(4):31-41.
[5] 郎献军,何玉辉,唐进元,等. 基于磨粒突出高度为瑞利分布的磨削力模型[J]. 中南大学学报,2014,45(10):3386-3391. LANG Xianjun,HE Yuhui,TANG Jinyuan,et al. Grinding force model based on prominent height of abrasive submitted to Rayleigh distribution[J]. Journal of Central South University,2014,45(10):3386-3391.
[6] 林开荣,徐西鹏,李远,等. 基于应力集中理论的磨削力模型[J]. 农业机械学报,2012,43(11):261-266. LIN Kairong,XU Xipeng,LI Yuan,et al. Model of grinding force based on stress concentration theory[J]. Journal of Agricultural Machinery,2012,43(11):261-266.
[7] 谢桂芝,尚振涛,盛晓敏,等. 工程陶瓷高速深磨磨削力模型的研究[J]. 机械工程学报,2011,47(11):169-176. XIE Guizhi,SHANG Zhentao,SHENG Xiaomin,et al. Grinding force modeling for high-speed deep grinding of engineering ceramics[J]. Journal of Mechanical Engineering,2011,47(11):169-176.
[8] 何坤,李国龙,周泓曲,等. 凸节曲线非圆齿轮蜗杆砂轮磨削加工方法[J]. 重庆大学学报,2015,38(1):140-147. HE Kun,LI Guolong,ZHOU Hongqu,et al. Worm wheel grinding method of convex pitch line non-circular gear[J]. Journal of Chongqing University,2015,38(1):140-147.
[9] 郭辉,赵宁,项云飞,等. 六轴数控蜗杆砂轮磨齿机磨削面齿轮的方法[J]. 机械工程学报,2015,51(11):186-194. GUO Hui,ZHAO Ning,XIANG Yunfei,et al. Face gear grinding method using six-axis CNC worm wheel machine[J]. Journal of Mechanical Engineering,2015,51(11):186-194.
[10] 明兴祖,胡京明,刘赣华. 螺旋锥齿轮数控磨削表面粗糙度的建模与分析[J]. 湖南工业大学学报,2009,23(2):37-44. MING Xingzu,HU Jingming,LIU Ganhua. Research on surface roughness for multi-axis NC grinding of bevel gear[J]. Journal of Hunan University of Technology,2009,23(2):37-44.
[11] 明兴祖,李飞,张然,等. 螺旋锥齿轮磨削表层金相组织的试验研究[J]. 中国机械工程,2014,25(2):174-178. MING Xiangzu,LI Fei,ZHANG Ran,et al. Experimental study on NC grinding surface metallographic organization of spiral bevel gears[J]. China Mechanical Engineering,2014,25(2):174-178.
[12] CAO J G,WU Y B,LU D,et al. Material removal behavior in ultrasonic-assisted scratching of SiC ceramics with a single diamond tool[J]. International Journal of Machine Tools & Manufacture,2014,79:49-61.
[13] TIAN L,FU Y C,XU J H,et al. The influence of speed on material removal mechanism in high speed grinding with single grit[J]. International Journal of Machine Tools & Manufacture,2015,89:192-201.
[14] AXINTE D,SMITH P B,AKGUN C,et al. On the influence of single grit micro-geometry on grinding behavior of ductile and brittle materials[J]. International Journal of Machine Tools & Manufacture,2013,74:12–18.
[15] 唐修检,田欣利,王龙,等. 切向载荷作用下氮化硅陶瓷崩碎损伤规律与机理[J]. 光学精密工程,2015,23(7):2023-2030. TANG Xiujian,TIAN Xinli,WANG Long,et al. Damage rule and mechanism of silicon nitride ceramics under tangential load[J]. Optics and Precision Engineering,2015,23(7):2023-2030.
[16] 田欣利,于爱兵. 工程陶瓷加工的理论与技术[M]. 北京:国防工业出版社,2006 TIAN Xinli,YU Aibing. Theory and technology of engineering ceramics processing[M]. Beijing:National Defense Industry Press,2006.
[17] KANNAPPAN S,MALKIN S. Effect of grain size and operating parameters on the mechanics of grinding[J]. Transactions of the ASME,Journal of Engineering for Industry,1972,94:833-842.
[18] HAHN R S. The effect of wheel-work conformity in precision grinding[J]. Transactions of the ASME,Journal of Engineering for Industry,1955,77:13-25.