| Summary: | 碩士 === 國立臺灣科技大學 === 機械工程系 === 98 === Based on the theory of gearing and differential geometry, we develop a mathematical model for the cutting face of hob based on the universal-type hob sharpening machine. Apply the proposed mathematical model, the axial profile of the grinding wheel can be derived, and it also can simulate the motion for the grinding wheel sharpening the cutting face of hob.
This manufacturing process is the profile grinding method. It is well-known that the axial profiles of wheels for grinding different helical angles of hob flutes are not the same in this process. Therefore, the main purpose of the thesis is to investigate whether the same wheel profile can be use to sharpen the cutting faces with a range of helical angles to satisfy the demand of hob precision or not. Another purpose is to establish the mathematical model for the cutting face of hobs based on the six-axis CNC hob sharpening machine and its correction method for reducing the manufacturing errors.
Based on the structure of CNC hob sharpening machine of Luren Precision Co., Ltd, the coordinate systems of the six-axis CNC hob sharpening machine are established at first. The six-axis movement for resharpening the cutting face of hob can be obtained by way of the conversion from a universal machine to a six-axis machine. And then, the mathematical model for the cutting face of hob is derived based on the six-axis CNC hob sharpening machine.
Based on the mathematical model of the hob cutting face, the sensitivity matrix of six-axis machine settings is established. According to this sensitivity matrix and the given flank errors of hob cutting face, the corrections for six-axis machine settings can be calculated by the linear regression. The corrections of machine settings can be applied to regrind the work-piece for reducing the manufacturing errors. In this thesis, all results are obtained by the computer simulation.
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