兼具齒面拓樸修整及磨紋控制之創成磨齒技術開發

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姓名

楊昀承(Yun-Cheng Yang) 查詢紙本館藏

畢業系所

機械工程學系

論文名稱

兼具齒面拓樸修整及磨紋控制之創成磨齒技術開發
(Technology Development of Generating Gear Grinding with Considering Both Topology Modification and Grinding Texture Control)

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摘要(中)

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。

摘要(英)

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.

關鍵字(中)

★ 創成磨齒
★ 研磨紋理
★ 齒輪嚙合噪音
★ 齒面拓樸修整
★ 表面粗糙度

關鍵字(英)

★ generating gear grinding
★ grinding texture
★ gear meshing noise
★ topology modification
★ mean roughness

論文目次

摘要 i
ABSTRACT ii
謝誌 iii
目錄 iv
圖目錄 vi
表目錄 vii
參數符號表 viii
第1章緒論 1
1-1 前言 1
1-2 文獻回顧 2
1-3 研究目的 4
1-4 論文架構 4
第2章創成磨齒之數學模型建立 5
2-1 蝸桿砂輪之修整 5
2-2 以蝸桿砂輪創成工件齒輪 7
2-3 總結 9
第3章齒面磨紋計算及控制方法 11
3-1 考量磨粒之蝸桿砂輪模型 11
3-2 齒面磨紋計算方式 13
3-3 以額外安裝角控制磨紋方向 15
3-4 齒面精度校正及抗扭曲修整 17
3-5 總結 19
第4章數值範例 20
4-1 進給速度對齒面磨紋之影響 20
4-2 磨料大小對齒面磨紋之影響 22
4-3 額外安裝角對齒面磨紋之影響 23
4-4 抗扭曲修整 28
第5章齒面磨紋參數決定 31
5-1 磨紋方向對傳動誤差之影響 31
5-2 額外安裝角之選擇方式 33
第6章總結與未來展望 37
6-1 總結 37
6-2 未來展望 37
參考文獻 39
附錄A 42
A-1 實驗設備與架構 42
A-2 噪音量測結果 43
作者簡介 56
個人著作及參與計畫 57

參考文獻

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指導教授

吳育仁(Yu-Ren Wu)

審核日期

2022-8-31

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