A surface roughness predictive model in deterministic polishing of ground glass moulds |
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| Authors: | Gianpaolo Savio Roberto Meneghello Gianmaria Concheri |
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| Affiliation: | 1. Shanghai Engineering Research Center of Ultra-Precision Optical Manufacturing, Fudan University, Shanghai 200438, PR China;2. EPSRC Future Metrology Hub, University of Huddersfield, Huddersfield, HD1 3DH, UK;1. Department of Micro-Engineering, Kyoto University, Kyoto, Japan;2. Faculty of Science and Engineering, University of Nottingham, Ningbo, China;3. Faculty of Engineering, University of Nottingham, Nottingham, UK;1. National Engineering Research Centre for High Efficiency Grinding, Hunan University, Changsha, Hunan, 410082, China;2. College of Mechanical and Vehicle Engineering, Hunan University, Changsha, Hunan, 410082, China;3. College of Chemistry and Chemical Engineering, Hunan University, Changsha, Hunan, 410082, China;1. College of Mechanical Engineering and Applied Electronics Technology, Beijing University of Technology, Beijing, 100124, China;2. Department of Mechanical and Electrical Engineering, University of Electronic Science and Technology of China, Chengdu, 610054, China;3. Research Center of Laser Fusion, China Academy of Engineering Physics, Mianyang, 621900, China;4. Department of Mechanical and Electrical Engineering, Xiamen University, Xiamen, 361005, China |
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| Abstract: | The introduction of deterministic NC grinding and polishing operations, in the manufacturing of free-form glass components for precision optics, requires the characterization of surface topography evolution as a function of process parameters. In this work, a model based on Reye's wear hypothesis is proposed for the assessment of surface roughness prediction as a function of operating parameters, in the deterministic polishing process of glass moulds. According to Reye's hypothesis, the removed material per unit area is proportional to the work due to the friction force: the removed material per unit area can be computed by adequately integrating the areal material ratio function (Abbott–Firestone curve) of the surface and can be associated with the amplitude roughness parameter; the work due to the friction force per unit area is proportional to the integral of the product of pressure and velocity in the time interval and can be derived from the process parameters by means of the Hertz theory. The model assessment was performed on ground glass flat samples polished with different operating parameters, mapping the surface roughness using an atomic force microscope (AFM). The developed model shows a satisfactory estimate of surface roughness evolution during the polishing process and confirms the experimental results found in the literature for the Preston coefficient. |
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