直齒傘齒輪為傘齒輪中形狀最簡單,故加工較易,廣泛應用於各種非平行軸動力傳輸系統上。本文研究成形加工法取代創成加工直傘齒輪的數學流程方法。根據Gleason方式設計假想產形輪齒胚,並經由齒輪的共軛原理為出發,創成出直傘齒輪的Octoid齒面,並將Octoid齒形作為齒形基準。計算齒面上等齒厚的曲線,以規劃出成形刀盤的加工路徑,透過投影成形刀具的軌跡在截面上,推導出成形刀具的輪廓線方程式。並成形加工出大小齒輪的齒面,經由相配齒輪對的齒面相對修形與齒印接觸分析的結果,反覆調整修整參數,讓齒面修整方法來提升成形加工的直傘齒輪齒面的接觸狀況。最後的數值範例驗證了成形刀具切削直傘齒輪的過程之可行性。
Mathematical model of the straight bevel gear manufactured by the form cutting method is investigated in this study. Based on the theory of gearing, the Octoid tooth surface of straight bevel gear is calculated by the generating method with imaginary crown gear cutting tool as proposed by the Gleason Works. The Octoid gear tooth surface is used as a datum surface for deriving the tooth profile of the form cutting tools. The cutting path of the form cutting tool should be calculated from the curve of same depth on generative tooth. By projecting these tooth profile sections into the axial section of form cutting tools, the axial section of form cutting tools is derived. Adjusting tooth modification iteratively to achieve an ideal gear contact by considering the ease-off and TCA results of mating gears. A numerical example is presented to show the validation of the proposed form cutting process of straight bevel gears.