齒輪是工業界中常見且重要的傳動零件，依據所使用的製造方式及加工程序不同，會影響齒輪的品質、精度與價格。齒輪的製造方式分為成形法與展成法，本研究所探討的強力刮齒法屬於展成法，且其相對於多數的傳統方法屬新穎的齒輪切削方式，可用於切削內齒輪與外齒輪，並具有連續切削的高切削效率，近年來此方法逐漸被廣為使用。強力刮齒法是利用齒輪與螺旋齒輪刀具之交錯軸的齒輪嚙合關係刮削出齒輪，其刀具的精度及切刃的幾何形狀會影響被加工的齒輪。
本研究旨在對強力刮齒刀之刀刃特徵角進行研究，使用國際標準組織（ISO）之刀具角度規範，對強力刮齒刀之特徵角建立靜態系統之數學模型，並驗證刮齒刀數學模型的可行性，且探討在不同的斜角面變數下，強力刮齒刀各切刃的特徵角度變化，以利強力刮齒法加工的預測。藉由本研究對強力刮齒的數學模型建立，提供未來強力刮齒刀設計得以更方便、更快速的分析刀具特徵角。

Gears are essential transmission parts and widely used in the industry. Its quality, accuracy, and price heavily depend on manufacturing methods and processing procedures. There are two manufacturing methods of gears: forming and generating.
The recently developed power skiving method is one of the generating methods. Compare with most traditional gear manufacturing methods, power skiving is a novel and high-efficiency method to produce internal gears and external gears by continuous cutting. The power skiving method is to scrape out the gear by using the cross-axis gear meshing relationship between the gear and helical gear cutter. The accuracy of the cutter and the geometry of the cutting edge will affect the gear to be machined.
The purpose of this study is to investigate the characteristic angles of the cutting edge of power skiving tool. Using the tool angle specification of the International Standard Organization (ISO), a mathematical model of the static system is established for the characteristic angles of the power skiving tool to verify the feasibility of the mathematical model of the power skiving tool. Also, explore the change of the characteristic angles of each cutting edge of the tool under different variables of the rake surface, to facilitate the prediction of the power skiving method. Based on the establishment of the mathematical model of the power skiving tool in this research, the design of the power skiving tool in the future can be used to analyze the characteristic angles of the tool more convenient and faster.

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