本論文旨在進行以創成磨所創成之鉋刀進行動力刮削創成內正齒輪之齒形誤差最佳化分析。以齒輪原理為基礎，建立以創成磨方法創成鉋刀齒面數學模式，接著推導動力刮削運動數學模式，並探討不同磨輪外形曲線和機台參數補償對創成內正齒輪齒形誤差的影響。最佳化部份分為兩部分進行，首先將改變磨輪外形進行工件齒輪之齒形誤差最佳化，之後再以第一次最佳化結果為基礎進行第二次最佳化，第二次最佳化主要以動力刮削工件補償角進行最佳化分析，其最佳化目的為提升內正齒輪之齒形誤差精度，經過整個最佳化計算後可得到最佳參數設定，確定最佳化流程後，再撰寫最佳化程式分析，進行動力刮削創成內正齒輪之齒形誤差分析，分別以兩組不同刀具和工件齒輪參數進行分析，最後得到一組最佳磨輪輪廓曲線及動力刮削創成運動中之補償角參數，將所得結果進行比對，驗證分析結果的正確性。根據齒輪精度標準和推導過程中可變動之因素為參考，提出針對工件齒輪齒形誤差為目標函數進行動力刮削刀具齒形最佳化設計。;This thesis aims to optimize the tooth profile error of the internal spur gear by power skiving with the planer created by gear grinding. Based on the principle of gears, the mathematical model of the tooth surface of the planer is established by the method of gear grinding. Then the mathematical model of the power skiving is derived, and the influence of the curve of different grinding wheels and the parameter compensation of the machine on the tooth profile error of the internal spur gear is discussed. The optimization part is divided into two parts. Firstly, the shape of the grinding wheel is changed to optimize the tooth profile error of the workpiece gear, and then the second optimization is performed based on the first optimization result. The second time optimization is mainly based on the power skiving workpiece compensation angle for optimization analysis. The optimization purpose is to improve the accuracy of the tooth profile error of the internal spur gear. After the optimization calculation, the optimal parameter setting can be obtained to determine the optimization. After the process, the author also writes the optimization program analysis, and performs the power skiving to create the tooth profile error analysis of the internal spur gear. The two sets of different tool and workpiece gear parameters are analyzed respectively, and finally two set of optimal grinding wheel profile curves and power skiving are obtained. The compensation angle parameters in the motion are compared and the correctness of the analysis results is verified.According to the accuracy standard of the gear and the variable factors in the derivation process,the optimal design of the tooth profile of the power skiving cutter is proposed based on the tooth profile error of the workpiece.
