• CN：11-2187/TH
• ISSN：0577-6686

• 数字化设计与制造 •

### 剪切增稠抛光的材料去除数学模型

1. 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
• 出版日期:2016-04-05 发布日期:2016-04-05
• 作者简介: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
• 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

LI Min1, LÜ Binghai2, YUAN Julong1, 2, DONG Chenchen2, DAI Weitao2

1. 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:2016-04-05 Published:2016-04-05

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.