既有的創成磨齒中運動通常會產生規則且平行的齒面磨削紋理，相比於由珩齒產生的不規則紋理，齒輪嚙合時容易引起更高的單頻噪音。本研究於CNC創成磨齒機中考量砂輪修整和齒輪磨削運動，提出兼具齒面修型與生成傾斜方向磨紋的控制方法。透過砂輪和工作齒輪軸之間的額外安裝角控制磨削紋理，由此角度變化所引發的齒面偏差可通過加工軸的附加運動得到修正，附加運動函數運用敏感度矩陣結合Levenberg-Marquardt（LM）演算法求解。數值範例中，分別研究了軸向進給速度及磨料尺寸對齒面紋理及其平均粗糙度的影響，隨後探討額外安裝角對磨紋偏轉方向之影響。範例中於鼓形齒面上產生斜向且不規則之磨削紋理，並且齒面的最大法向誤差量為0.20 µm，符合加工精度需求，證明所提方法合理性和有效性。

Natural motion in generating gear grinding often produces regular and mutually-parallel gear grinding texture, which induces higher pure-tone gear meshing noise than that with an irregular texture generated by gear honing. This study presents a generation method of irregular and oblique grinding texture on modified gear tooth flanks considering both dressing and grinding motions in a CNC generating gear grinder. The grinding texture is controllable via an additional installation angle between the grinding wheel and the work gear axes. Meanwhile, the gear tooth flank deviation caused by this variation is corrected by additional motions of machining axes. The sensitivity matrix (SM) combined with the Levenberg-Marquardt (LM) algorithm is employed to determine the additional motion functions. In numerical examples, effects of axial feeding speed, abrasive grain size, and installation angle variation on texture patterns and their mean roughness are investigated, respectively. A crowned tooth flank with irregular and oblique grinding texture is also demonstrated to prove the reasonability and validity of the proposed method. The maximum normal error of the resulting tooth surface is 0.20 µm, which meets the machining accuracy requirements.

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