Material Removal Model of Center-inlet Elastic Polishing Tools

doi:10.3969/j.issn.1004-132X.2024.09.016

Abstract

Abstract: In order to enhance the deterministic processing capability of computer controlled optical surface(CCOS) forming technology, a center-inlet elastic polishing tool(CEPT)was proposed herein. Based on the structural characteristics of CEPT and the stress field model contacting with the workpieces, the radial contact stress distribution of CEPT before and after attaching diamond resin sandpaper was studied. It is found that after attaching sandpaper, the CEPT has a smoother radial contact stress distribution and a larger contact stress amplitude. Subsequently, the contact stress and velocity distribution functions of CEPT were constructed under continuous feeding conditions, and a material removal model for CEPT was established based on Preston equation. Finally, polishing experiments and single factor comparative experiments were conducted to obtain the distribution of material removal depth and the relationship between key processing parameters and material removal depth of CEPT. The experimental results show that the average deviation between material removal model constructed herein and the actual material removal profile is less than 10%, which may better predict the actual material removal depth of CEPT.

Key words: Preston equation, elastic tool, central-inlet, finite element method, material removal model

摘要： 为提高计算机控制光学表面(CCOS)成形技术的确定性加工能力，提出了一种中心供液弹性研抛工具(CEPT)。针对CEPT的结构特征及与工件接触的应力场模型，研究了贴附金刚石树脂砂纸前后CEPT的径向接触应力分布，发现贴附砂纸后的CEPT有更平稳的径向接触应力分布和更大的接触应力幅值。构建了CEPT连续进给状态下的接触应力及速度分布函数，结合Preston方程建立了CEPT的材料去除模型。进行了抛光试验及单因素对比试验，获得了CEPT的材料去除深度分布规律及关键工艺参数与材料去除深度之间的影响关系。试验结果表明，构建的材料去除模型与实际材料去除廓形之间的平均偏差小于10%，可较好地预测CEPT的实际材料去除深度。

关键词: Preston方程, 弹性工具, 中心供液, 有限元法, 材料去除模型

CLC Number:

TH166

JIN Minglei1, 2, JIN Mingsheng1, 2, SONG Zhengjiang3, ZENG Xi1, 2, LI Yan1, 2, TANG Xuan1, 2. Material Removal Model of Center-inlet Elastic Polishing Tools[J]. China Mechanical Engineering, 2024, 35(09): 1659-1666.

金明磊1, 2, 金明生1, 2, 宋正江3, 曾晰1, 2, 李燕1, 2, 唐璇1, 2. 中心供液弹性研抛工具的材料去除模型研究[J]. 中国机械工程, 2024, 35(09): 1659-1666.

References

［1］ZIMMERMAN D C. Feasibility Studies for the Alignment of the Thirty Meter Telescope［J］. Applied Optics, 2010, 49(18):3485-3498.
［2］HAYNAM C A, SACKS R A, MOSES E I, et al. Response to Comment on “the National Ignition Facility Laser Performance Status”［J］. Applied Optics, 2008, 47(10):1384-1386.
［3］KUMAR M, KUMAR A, ALOK A, et al. Magnetorheological Method Applied to Optics Polishing:a Review［J］. IOP Conference Series:Materials Science and Engineering, 2020, 804:012012.
［4］WU Ziwei, SHEN Jianyun, PENG Yunfeng, et al. Review on Ultra-precision Bonnet Polishing Technology［J］. The International Journal of Advanced Manufacturing Technology, 2022, 121(5):2901-2921.
［5］叶枫菲, 余德平, 万勇建, 等. 基于变压力的CCOS光学研抛技术［J］. 光电工程, 2018, 45(4):170642.
YE Fengfei, YU Deping, WAN Yongjian, et al. Study on the Variable Pressure CCOS Polishing Technology［J］. Opto-Electronic Engineering, 2018, 45(4):170642.
［6］MIZUGAKI Y, SAKAMOTO M, SATA T. Fractal Path Generation for a Metal-mold Polishing Robot System and Its Evaluation by the Operability［J］. CIRP Annals, 1992, 41(1):531-534.
［7］TAM H Y, CHI-HANG LUI O, MOK A C K. Robotic Polishing of Free-form Surfaces Using Scanning Paths［J］. Journal of Materials Processing Technology, 1999, 95(1/2/3):191-200.
［8］LI Hongyu, YU Guoyu, WALKER D, et al. Modelling and Measurement of Polishing Tool Influence Functions for Edge Control［J］. Journal of the European Optical Society:Rapid Publications, 2011, 6:11048.
［9］JIAO Zhenhua, KANG Renke, ZHANG Jianguo, et al. Modelling of Surface Roughness in Elliptical Vibration Cutting of Ductile Materials［J］. Precision Engineering, 2022, 78:19-39.
［10］SONG Jianfeng, YAO Yingxue. Material Removal Model Considering Influence of Curvature Radius in Bonnet Polishing Convex Surface［J］. Chinese Journal of Mechanical Engineering, 2015, 28(6):1109-1116.
［11］张军锋, 史耀耀, 蔺小军, 等. 基于修正Preston方程的百页轮抛光材料去除深度建模［J］. 中国机械工程, 2022, 33(22):2711-2716.
ZHANG Junfeng, SHI Yaoyao, LIN Xiaojun, et al. Modeling of Material Removal Depth in ABFW Polishing Based on Modified Preston Equation［J］. China Mechanical Engineering, 2022, 33(22):2711-2716.
［12］刘青龙. 基于CCOS的抛光轨迹及材料去除优化研究［D］. 长春:吉林大学, 2022.
LIU Qinglong. Optimization of Polishing Path and Material Removal Based on CCOS［D］.Changchun:Jilin University, 2022.
［13］KUM C W, SATO T, GUO Jiang, et al. A Novel Media Properties-based Material Removal Rate Model for Magnetic Field-assisted Finishing［J］. International Journal of Mechanical Sciences, 2018, 141:189-197.
［14］JIN Mingsheng, ZHU Dongjie, WANG Liming, et al. Contact Stress Prediction Model of Double-layer Elastomer with Functionally Graded and Composite Structure［J］. Polymer Composites, 2021, 42(4):2073-2086.
［15］FAN Cheng, ZHAO Ji, ZHANG Lei, et al. Modelling of the Polished Profile in Computer-controlled Polishing by a Sub-aperture Pad［J］. Machining Science and Technology, 2015, 19(4):536-558.
［16］ZHANG Tianqi, WANG Zixuan, YU Tianbiao, et al. Modeling and Prediction of Generated Local Surface Profile for Ultrasonic Vibration-assisted Polishing of Optical Glass BK7［J］. Journal of Materials Processing Technology, 2021, 289:116933.

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