兼具考量珩輪修整及珩磨製程之閉迴路內嚙合珩齒齒面拓樸修整

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研究生：	武德忠 Vu Duy Khuong
論文名稱：	兼具考量珩輪修整及珩磨製程之閉迴路內嚙合珩齒齒面拓樸修整 Closed-loop topology modification of gear tooth flanks considering both dressing and honing processes for internal-meshing gear honing
指導教授：	吳育仁 Yu-Ren Wu
口試委員:
學位類別：	碩士 Master
系所名稱：	工學院 - 機械工程學系 Department of Mechanical Engineering
論文出版年：	2023
畢業學年度：	111
語文別：	英文
論文頁數：	73
中文關鍵詞：	珩齒、修整輪、珩輪、拓撲修整、敏感度矩陣、雙鼓型修整、Levenberg-Marquardt算法
外文關鍵詞：	Gear honing, dressing gear, honing wheel, topology modification, sensitivity matrix, double-crowning, Levenberg-Marquardt algorithm
相關次數：	點閱：13 下載：0
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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.

摘要            i
Abstract        ii
Acknowledgments        iii
Table of Contents        iv
List of figures        vi
List of tables        viii
Nomenclature        x
Chapter 1    Introduction        1
1.1    Research background        1
1.2    Literature review        4
1.3    Research objectives        6
1.4    Thesis overview        7
Chapter 2    Mathematical modelling for both dressing and honing processes on the CNC internal-meshing gear honing        8
2.1    Mathematical modelling for the dressing process        8
2.1.1    Generation of dressing gear        8
2.1.2    Dressing process of honing wheel        11
2.2    Mathematical modelling for the honing process        16
Chapter 3    Closed-loop topology modification of gear tooth flanks considering both dressing and honing processes        20
3.1    Numerical methods for determining machine-axis movement settings        20
3.2    Closed-loop topology modification        25
Chapter 4    Numerical examples        28
4.1    Verification of the closed-loop topology modification on gear tooth flanks with controlling both dressing and honing processes        28
4.2    Flexibility of the closed-loop topology modification on gear tooth flanks considering both dressing and honing processes        36
4.3    Application of the dressing process for achieving the double-crowned surface on gear tooth flanks with distinct pressure angles        40
4.4    Application of controlling both processes dressing and honing for the machining of the gear after heat treatment        46
Chapter 5    Conclusions and future works        50
5.1    Conclusions        50
5.2    Future works        51
Appendix        52
References        53
Author profile        57

                                

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