齒輪是機械業的重要元件，其品質在機械業扮演很重要的角色，因為齒輪的製造精度會影響機器整體價格，甚且會影響被加工品的精度。齒輪製造方法可概分為成形法及創成法。本篇論文旨在探討創成法中的滾齒刀具。滾齒加工是生產效率最高且應用最廣的齒輪加工法，它是利用齒輪與齒條刀嚙合之關係滾削出齒輪。滾齒刀是精度要求很高的切削刀具，其刀刃幾何形狀，對齒輪的精度有很深的影響。
本研究使用國際標準的刀具角度規範，對滾齒刀具的特徵角度，建立靜態系統與動態系統兩種數學模式，其可探討不同研磨條件下，各滾齒刀切刃的特徵角變化。並可改變其中之參數，得到不同研磨條件下的特徵角，以利滾齒加工的預測。藉由本文所建立的數學模式，提供未來在滾齒刀設計，可以更加方便且快速地分析刀具之特徵角。

In recent years, the demand for gears has increased due to changes in market demand. The accuracy and quality of gears play an essential role in many mechanical products, because the design and manufacturing accuracy of gears often directly affect the price of equipment and its processing efficiency.
In the gear-making part, it can be roughly divided into forming method and generating method. This paper uses the hobbing in the generating method to do research. Hobbing is the most efficient and widely used method of gear manufacturing. The hob is also a cutting tool with high precision. It attaches great importance to the grinding of the cutting edge. The purpose is to confirm the correctness of the tooth profile of the hob cutter.
In this study, the characteristic angles of the hob is the main topic. For the characteristic angles of the hob, a mathematical model and flow for calculating the angles are established. The static system and the dynamic system are also established by using the ISO tool angle specification. Then the numerical results are used to analyze the characteristic angles variation trend and characteristics of each cutting edge under different grinding conditions.
With the mathematical model established in this paper, it offers a more convenient method to discuss the characteristic angles in hob design. And the parameters in the mathematical model also can be rewritten to obtain the characteristic angles results under different design conditions.

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檢自：https://blog.xuite.net/sector/twblog/305686271 (Jan. 12,2019)