臺灣博碩士論文加值系統

市面上許多機械的機構之間傳遞動力都需要依靠齒輪，圓柱齒輪因其齒型固定、設計與製造容易、成本較低等優點而較常被選用。在傘齒輪中，蝸線傘齒輪相較於直齒傘齒輪能更穩定傳達動力，做動過程中較無振動，噪音較小。
現今設計製造齒輪齒型的方法有兩種: 創成法與成形法。創成法是以齒輪刀具與齒輪胚料互相嚙合並做規律的轉動，在過程中，刀具對齒胚包絡出的曲線，即為齒輪的齒形；而成形法則是以被切削齒輪的齒形作為刀具形狀來進行加工。本研究首先在Mathematica程式設計軟體中設定齒輪參數與刀具座標轉換後，利用成形法計算出Gear齒輪的齒形點座標，在SOLIDWORKS 3D繪圖軟體中將先前計算出的齒形點座標匯入形成曲面，進而生成完整的Gear齒輪，再利用Gear齒輪創成相對應的Pinion齒輪，最後將設計實體化並執行實際齒輪嚙合測試，如此即可一次性完成一對相應的蝸線傘齒輪對，進而省去額外製造相對應刀具的成本。

Many machines and mechanisms rely on gears to transmit power. Cylindrical gears are often used because of their standard tooth profile, easy design and manufacture, and low cost. Unfortunately, they are not suit for angular transmission, but bevel fears. Spiral bevel gears can transmit power more stably and efficiently than straight bevel gears, with less vibration and less noise during actuation.

There are two methods for designing and manufacturing spiral bevel gears: generating method and formate method. The generating method is that the gear cutter mesh with gear blank and rotate regularly, during the process, the curve enveloped by the cutter to the gear blank is the tooth shape of the gear; The forming method uses the tooth profile of the gear to be cut as the shape of the tool for processing. In this study, coordinate transformation was first performed after setting gear parameters in Mathematica programming software, and then the gear tooth point coordinates are calculated by forming method, then, the previously calculated tooth shape point coordinates are imported into SOLIDWORKS 3D drawing software. Row into surface to generate the whole gear. After completing the previous work, use the generating method to create the corresponding pinion gear, and finally materialize the design and perform the gear meshing test, so that a pair of corresponding spiral bevel gear can be created at one time, thereby eliminating the need for cost of additional manufacturing of the corresponding tool.

摘要……i
Abstract……ii
誌謝……iii
目錄……iv
表目錄……viii
圖目錄……ix
符號和簡稱……xi
第一章 緒論……1
1.1前言/背景……1
1.2研究目的……7
1.3文獻回顧……7
1.4研究方法……8
1.5論文架構……9
第二章 研究理論……10
2.1座標轉換……10
2.1.1旋轉座標轉換……10
2.1.2平移座標轉換……11
2.1.3旋轉加平移座標轉換……12
2.2齒輪嚙合方程式……13
第三章 蝸線傘齒輪對之設計……15
3.1 蝸線傘齒輪對設計流程……15
3.2 蝸線傘齒輪齒胚設計……16
3.2.1蝸線傘齒輪對齒胚設計……17
3.2.2碗狀刀具設計……19
3.3驗證用齒形切製……21
3.3.1 碗狀刀具軸座標轉換……21
3.3.2 齒胚驗證齒形切製……23
3.4蝸線傘齒輪Gear齒形設計……25
3.4.1參數設定與刀具座標轉換矩陣……25
3.4.2計算齒形點座標……29
3.4.3 Gear齒形繪製……29
3.5蝸線傘齒輪Pinion齒形創成……31
3.5.1刀具座標轉換……31
3.5.2 Pinion齒形創成計算……32
3.5.3 Pinion齒輪繪製……32
第四章 測試範例……35
4.1 模擬測試……35
4.2 實體測試……36
第五章 結論與未來展望……39
5.1 結論……39
5.2 未來展望……39
參考文獻……39
Extended Abstract……42

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https://www.gleason.com/zh/products/tools/bevel/cutting/bevel-cutting-tools
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