Modeling surface roughness for polishing process based on abrasive cutting and probability theory |
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Authors: | Guilian Wang Xiaoqin Zhou Guangwei Meng Xu Yang |
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Affiliation: | 1. Tianjin Key Laboratory for Advanced Mechatronic System Design and Intelligent Control, Tianjin University of Technology, Tianjin, China;2. College of Mechanical Engineering, Jilin University, Changchun, China;3. College of Mechanical Engineering, Jilin University, Changchun, China |
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Abstract: | The surface roughness is a variable used to describe the quality of polished surface. This article presents a surface roughness model based on abrasive cutting and probability theory, which considers the effects of abrasive grain shape, grit and distribution feature, pressure on surface roughness. The abrasive grain protrusion heights are thought to close to Gaussian distribution, and then the relationship between the indentation depth and the pressure based on Hertz contact theory is obtained. Surface roughness prediction model is established by calculating indentation depth of the abrasive grains on workpiece surface. The maximum surface profile height (Ry) is approximately equal to the maximum indentation depth of the abrasive grain. The arithmetic average surface roughness (Ra) is equal to the average indentation depth of the abrasive grain. The effects of process parameters such as pressure and grit on Ry and Ra were simulated and analyzed in detail. |
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Keywords: | Grit indentation depth polishing pressure surface roughness |
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