在珩齒過程中，珩輪的運動精度和幾何形狀對齒輪加工精度有很大的影響，其中珩輪修整是保證珩輪輪廓正確性的關鍵工序，雖然珩齒加工已被應用於齒輪精加工一段時間，然而有關珩輪修整相關的研究較少。在本研究中，提出了一種同時考慮珩輪修整和齒面珩磨的珩齒閉迴路齒面拓樸修正方法，分別建立了數控內嚙合珩齒機珩輪修整和珩齒的數學模型，修整輪用於重磨珩輪輪廓，並應用於精加工工件齒輪，模型中加入珩輪修整軸和珩齒軸的附加運動方程式，依據所需的齒形修整，採用敏感度矩陣結合算法來確定附加運動，最後透過數值範例進行齒面雙鼓型修整，驗證所提方法的有效性和實用性.;Gear machining accuracy is significantly affected by the precise motion and geometry of honing wheels in the gear honing process, wherein the dressing process is a key process to guarantee the correct profile of honing wheels. Although the dressing constitutes a key process which has long been used to finish work gears, it has rarely been investigated in the literature. In this study, a closed-loop topology modification method for gear honing considering both dressing and honing processes is proposed. A dressing gear is used to re-shape the honing wheel profile, which is then applied to finish the work gear. Mathematical models of the dressing and the honing are, respectively, established for a CNC internal-meshing gear honing machine. Additional motion functions of dressing and honing axes are also applied in the model. The sensitivity matrix method combined with the Levenberg-Marquardt algorithm are employed to determine the additional motions according to the desired tooth modification. The effectiveness and practicability of the proposed method are verified by carrying out double-crowning as the gear tooth modification in numerical examples.
