数字化设计与制造

剪切增稠抛光的材料去除数学模型

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  • 1. 湖南大学国家高效磨削工程技术研究中心 长沙 410082;
    2. 浙江工业大学特种装备制造与先进加工技术教育部重点实验室 杭州 310014
李敏,男,1983年出生,博士研究生,讲师。主要研究方向为精密与超精密加工技术及装备。 E-mail: li-min-wax@163.com;吕冰海(通信作者),男,1978年出生,研究员。主要研究方向为精密与超精密加工技术及装备。E-mail:icewater7812@126.com;袁巨龙,男,1962年出生,教授,博士研究生导师。主要研究方向为精密与超精密加工技术及装备。E-mail:jlyuan@zjut.edu.cn;董晨晨,男,1990年出生,硕士研究生。主要研究方向为精密与超精密加工技术及装备;戴伟涛,男,1989年出生,硕士研究生。主要研究方向为精密与超精密加工技术及装备

网络出版日期: 2016-04-05

基金资助

国家自然科学基金(51175166,51175468)、浙江省自然科学基金重点(LZ12E05001)、浙江省科技计划(2013C31014)和湖南省教育厅科学研究(14C0760)资助项目

Material Removal Mathematics Model of Shear Thickening Polishing

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  • 1. National Engineering Research Center for High Efficiency Grinding, Hunan University, Changsha 410082;
    2. Key Laboratory of Special Purpose Equipment and Advanced Processing Technology of Ministry of Education, Zhejiang University of Technology, Hangzhou 310014

Online published: 2016-04-05

摘要

提出一种基于非牛顿幂律流体剪切增稠效应的新型抛光方法——剪切增稠抛光(Shear thickening polishing,STP),通过对剪切弹性层理论的研究,推导出剪切增稠抛光中非牛顿幂律流体与工件之间的剪切弹性层最小厚度方程。在此基础上,根据Preston方程,建立加工过程中的材料去除数学模型。当流速U一定时,非牛顿剪切增稠幂律流体相对于牛顿流体或剪切稀化流体能够使得加工获得更高的材料去除率(Material removal rate,MRR),随着黏性指数n的不断增加,MRR会进一步增大。当黏性指数n和稠度系数K分别为2和0.32时,随着U的增大,MRR呈现幂函数增长趋势,说明增大流速,有利于提高加工效率。在STP加工系统上进行ϕ20 mm的GCr15轴承钢圆柱工件的加工试验,经过90 min的STP后,表面粗糙度由Ra 105.95 nm降至Ra 5.99 nm,MRR达到2.1 μm/h。MRR理论值与试验值之间的相对误差仅为6.12%,试验结果证明所建MRR模型具有一定的有效性。

本文引用格式

李敏, 吕冰海, 袁巨龙, 董晨晨, 戴伟涛 . 剪切增稠抛光的材料去除数学模型[J]. 机械工程学报, 2016 , 52(7) : 142 -151 . DOI: 10.3901/JME.2016.07.142

Abstract

Based on the non-Newtonian power-law fluid with shear thickening mechanism, shear thickening polishing (STP) as a novel ultra-precision machining method is proposed. The minimum thickness between non-Newtonian fluid of shear thickening polishing and workpiece is deduced through the study on the theory of shear elastic layer. According to Preston equation, the material removal mathematics model is deduced and founded. At constant velocity of flow (U), non-Newton shear thickening power-law fluid compared to the Newton fluid or shear thinning fluid can achieve higher material removal rate (MRR). MRR will further increase with the increasing of viscosity index n. When n is equal to 2 and consistency index K is equal to 0.32, MRR is exponential growth trend with the increase of U, which shows that increasing velocity improves the machining efficiency. Then a machining experiment of GCr15 bearing steel curved surface material is carried out on a shear thickening polishing machining system, the surface roughness of workpiece is decreased from Ra 105.95 nm to Ra 5.99 nm after 90 min processing, and mirror effect can be achieved. MRR of GCr15 (bearing steel) is up to 2.1 μm/h. The average error between the material removal theoretical value and processing experiment result is only 6.12%. The validation of established material removal mathematics model is verified.

参考文献

[1] BRINKSMEIER E,MUTLUGUNES Y,KLOCKE F,et al. Ultra-precision grinding[J]. CIRP Annals - Manufacturing Technology,2010 (59):652-671.
[2] 李敏,袁巨龙,吴喆,等. 复杂曲面零件超精密加工方法的研究进展[J]. 机械工程学报,2015,51(5):178-191.
LI Min,YUAN Julong,WU Zhe,et al. Progress in ultra-precision machining methods of complex curved parts[J]. Journal of Mechanical Engineering,2015,51(5):178-191.
[3] 李圣怡,戴一帆. 大中型光学非球面镜制造与测量新技术[M]. 北京:国防工业出版社,2011.
LI Shengyi,DAI Yifan. New technology for manufacturing and measurement of large and middle-scale aspheric surfaces[M]. Beijing:National Defense Industrial Press,2011.
[4] 周志雄,周秦源,任莹晖. 复杂曲面加工技术的研究现状与发展趋势[J]. 机械工程学报,2010,46(17):105-113.
ZHOU Zhixiong,ZHOU Qinyuan,REN Yinghui. Current research and development trends of complex surface machining technology[J]. Journal of Mechanical Engineering,2010,46(17):105-113.
[5] 袁哲俊,王先逵. 精密和超精密加工技术 [M]. 第二版北京:机械工业出版社,2007.
YUAN Zhejun,WANG Xiankui. The technology of precision machining and ultra-precision machining [M]. 2th ed. Beijing:China Machine Press,2007.
[6] 计时鸣,李琛,谭大鹏,等. 基于Preston方程的软性磨粒流加工特性[J]. 机械工程学报,2011,47(17):156-163.
JI Shiming,LI Chen,TAN Dapeng,et al. Study on machinability of softness abrasive flow based on Preston equation[J]. Journal of Mechanical Engineering,2011,47(17):156-163.
[7] MUHAMMAD A,MUSTAFIZUR R,WONG Y S. A study on the effect of tool-edge radius on critical machining characteristics in ultra-precision milling of tungsten carbide[J]. The International Journal of Advanced Manufacturing Technology,2013,67(5-8):1257-1265.
[8] 董波,李维仲,冯玉静,等. 幂律流体圆柱绕流的格子波尔兹曼模拟[J]. 力学学报,2014,46(1):44-53.
DONG Bo,LI Weizhong,FENG Yujing,et al. Lattice Boltzmann simulation of a power-law fluid past a circular cylinder[J]. Chinese Journal of Theoretical and Applied Mechanics,2014,46(1):44-53.
[9] 张道成. 水-沙幂律流体的流动(层流)特性研究-水石流的幂律体模型(上)[J]. 四川联合大学学报,1997,1(2):88-94.
ZHANG Daocheng. Study on laminar flow properties of water-sediment power-law fluid- the power-law model of water-rock flow(I)[J]. Journal of Sichuan Union University,1997,1(2):88-94.
[10] 章梓雄,董曾南. 黏性流体力学[M]. 2版. 北京:清华大学出版社,2011.
ZHANG Zixiong,DONG Cengnan. Viscous fluid mechanics[M]. 2nd ed. Beijing:Tsinghua University Press,2011.
[11] 袁祖强,刘建华. 含油轴承非牛顿流体动力润滑理论的推导[J]. 南京化工大学学报,2001,23(2):67-70.
YUAN Zuqiang,LIU Jianhua. Theoretical derivation of hydrodynamic lubrication of porous metal bearing lubricatied with non-newtonian fluid[J]. Journal of Nanjing University of Chemical Technology,2001,23(2):67-70.
[12] TSAI K M,WANG P J. Comparisons of neural network models on material removal rate in electrical discharge machining[J]. Journal of Materials Processing Technology,2001,117 (1-2):111-124.
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