本文重點在分析硬質合金刀具的優點，並指出它與一般刀具不同的地方與相關對策，同時分析刀具製造上的基本問題－逆包絡的問題；並且建立了「求運動(設備)的反問題」和「求逆包絡的問題」等這兩類製造模型的思考方法，且著重介紹求逆包絡這類製造課題的求解步驟。
　　對於迴轉刀具的設計與製造模式之發表的論述中，皆缺乏一般性與完整性，在本文中以有系統的方法介紹具球頭端型銑刀與圓角型特殊銑刀，包括了完整的原理使切削邊及螺旋溝槽的模式易於建立，基於包絡的條件，相對於製造模式不論直接問題的逼近或逆求問題解法的逼近皆將有所論述，在磨製溝槽過程中，磨輪相關進刀速率的影響也將討論，且符合此目的的進刀速率也設計，依據被磨輪包絡的溝槽表面利用計算機模擬的結果，設計的和實際製造的切削邊的結果拿出來分析，更進一步，也將介紹後處理過程使用的方法，它可精磨殘餘材料並同時重建刀峰背部。

　　This study is firstly stressed on analyzing the merits (good qualities) of carbide tool; secondly it indicates its difference, in comparison with carbide tools and common tools. In the study the basic problems while manufacturing are analyzed. The contemplation of producing the model, such as solve the inverse of motion and solve the inverse of envelope are established. Finally the premises of the resulting approaches to manufacture by means of solve the inverse envelope are particularly introduced.
　　Most of the published work on developing design and manufacturing models of rotating cutters lacks generality and integrity. In this paper, a systematic method that integrates design, manufacture, simulation and remedy has been developed for a ball-end type and Toroidal type rotating cutter. The Principles of differential geometry and kinematics facilitate the develpment of correlative models of the cutting-edge and helical groove. Based on the evelope condition approaches for solving the direct and inverse problems related to the manufacturing models are also presented. The influences of relative feed speeds of the grinding wheel in machining the groove are discussed, and following this the proposed feed speeds are designed. The effects of design and virtual manufacture of the cutter are analysed according to the computer simulation results of the groove surfaces enveloped by the grinding wheel. In addition, the post-process methods are introduced to finish the residual material and the land of the cutter.

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