傳統大量生產錐狀齒輪(beveloid gear)時，主要經由蝸桿加工，其生產成本較高，而珩齒(Gear Honing)製程可進行齒輪之齒形修整，來達到降低噪音以及改善接觸齒印(Contact pattern)，且珩齒的磨耗速度較慢，能有效降低加工成本。故本文提出以CNC內珩齒機加工錐狀齒輪之數學模型，取得錐狀齒輪之齒面拓樸(Tooth flank topology)及法向偏差量，並與文獻提出之錐狀齒輪齒形進行比較，觀察兩齒形之差異，驗證CNC內珩齒機加工錐狀齒輪之數學模型的可行性。接著在CNC內珩齒機加工錐狀齒輪之數學模型中加入內珩輪(Honing wheel)傾角，使機台加工出具鼓形之錐狀齒輪齒面，達到改善齒輪接觸齒印之效果，計算其齒面拓樸點之法向偏差量後，與無鼓型錐狀齒輪進行比較。最後，本文將分別探討具鼓形及標準直齒錐狀齒輪與具鼓形及標準螺旋錐狀齒輪，將其齒面拓樸點上之法向偏差量匯入KISSsoft分析軟體，觀察齒面接觸分佈。

The finish machining of mass production of beveloid gears are generally conducted through worm processing, which costs relatively higher than gear honing. Gear honing process is used to do the tooth modification, in order to achieve lower noise and improve the contact pattern of the gear pairs. The durability of the honing wheel also reduces the cost of production. Based on the advantages, a mathematical model for fine machining of beveloid gears by CNC internal honing machine is proposed to obtain the tooth flank topology and the normal deviation. By comparing the above results with the profile from the references, the feasibility of the mathematical model for fine machining of beveloid gears by CNC internal honing machine can be verified. Then, a swivel angle of honing wheel is also added to the mathematical model, which enables it to crown the beveloid gear surface and improves the gear contact pattern. The normal deviation of the tooth surface topology is then calculated and compared with non-crowned beveloid gear surface. The differences between crowned, non-crowned, spur and helical beveloid gears are then discussed. The normal deviation on the tooth topology are imported into KISSsoft to show the distribution of gear contact.

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