A Stochastic Model of Abrasive Processing. The Kinematics of Flat Grinding
Authors: Voronov S.A., Weidong Ma, Voronova I.S. | Published: 23.11.2017 |
Published in issue: #11(692)/2017 | |
Category: Technology and Process Machines | |
Keywords: flat grinding simulation, cutting process kinematics, random parameters, abrasive grains, geometry of machined surface, waviness |
The authors propose a mathematical model of flat grinding by a tool modeled as a disc with abrasive grains distributed on the cylindrical surface, with random geometric characteristics. The cutting process is modeled by each grain separately at kinematically defined motion of the tool. A system of equations is obtained that describes the relations between the coordinates of the surface machined by the currently used grain, and the coordinates of the surface formed by the previous grain. The solution for a single grain is analyzed; the configuration of the workpiece surface after multiple subsequent passes is determined. A variable-length array is used to store the variation of all the grains’ cutting thickness in the grinding process. The chip thickness of abrasive grains located in the zone of contact between the grinding wheel and the material is calculated. The texture of the surface formed after passes by the abrasive grains of the grinding wheel under pre-defined cutting conditions is evaluated. Based on the data obtained, waviness of the surface is calculated. The results of the simulation can be used to predict accuracy and quality of the surfaces when grinding.
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