圓柱型蝸桿之旋風銑削刀具設計及切削模擬

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姓名

葉秀詮(YE,XIU-QUAN) 查詢紙本館藏

畢業系所

機械工程學系

論文名稱

圓柱型蝸桿之旋風銑削刀具設計及切削模擬
(Design Whirling Tool and Cutting Simulation for Cylindrical Worm Using a Whirling process)

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至系統瀏覽論文 ( 永不開放)

摘要(中)

本論文依照ZA型、ZN型、ZI型、ZK型、ZC型蝸桿之切削方式，基於齒輪原理和微分幾何理論，分別推導出五型蝸桿之齒面數學模式，透過蝸桿之齒面數學模式，配合旋風銑削刀具之切削機構關係與嚙合方程式，建立出五型旋風銑削刀具之齒面數學模式。透過所建立出之旋風銑削刀具輪廓進行刀具曲線之擬合，最後經由切削機構關係與嚙合方程式建立出五型蝸桿之齒形輪廓。

為了進行旋風銑削切削模擬，首先由Solidworks建立旋風銑削之機台模型，將其匯入VERICUT軟體進行各軸相對運動關係之設置，接著將所設計之旋風銑削刀具設置於刀具環治具內，使用控制器840 D驅動所規劃之NC程式進行加工模擬。最後可獲得旋風銑削之五型蝸桿三維模型，再將此五型蝸桿與理論型蝸桿，透過軸向截面齒形比對，
驗證流程與推導之正確性。

摘要(英)

This paper, based on the cutting methods of the ZA, ZN, ZI, ZK, and ZC types of worm gears, derives mathematical models for the tooth profiles of these five types of worm gears using the principles of gears and differential geometry theory. Through these mathematical models for the worm gear tooth profiles, and in conjunction with the cutting mechanism relationships and meshing equations of whirling milling tools, mathematical models for the tooth profiles of the five types of whirling milling tools are established. The tool profiles are fitted using the established whirling milling tool mathematical models, and finally, mathematical models for the tooth profiles of the five types of worm gears are developed through the cutting mechanism relationships and meshing equations.

To conduct the whirling milling cutting simulation, a machine model for whirling milling is initially created using Solidworks. This machine model is then imported into VERICUT software for configuring the relative motion relationships between various axes. Subsequently, the designed whirling milling tool is placed within a tool ring fixture. The NC program, as per the actual machining paths, is executed by Controller 840 D for the simulation. Ultimately, this process results in obtaining three-dimensional models of the five types of cyclone-milled worm gears. These models are then used for axial cross-sectional tooth profile comparisons between the five types and theoretical worm gears, verifying the accuracy of the procedures and derivations.

關鍵字(中)

★ 旋風銑削
★ 圓柱型蝸桿
★ 切削模擬

關鍵字(英)

★ Whirling Milling
★ Cylindrical Worm
★ VERICUT
★ Cutting Simulation

論文目次

摘要 I
Abstract II
致謝 III
目錄 IV
圖目錄 VI
表目錄 IX
符號對照表 X
第1章緒論 1
1.1 前言 1
1.2文獻回顧 2
1.2.1 蝸桿介紹 2
1.2.2 VERICUT應用 4
1.2.3 旋風銑削應用 5
1.3 研究動機與目的 8
1.4 論文架構 9
第2章蝸桿齒面數學模式 10
2.1 前言 10
2.2 ZA型蝸桿 10
2.2.1 ZA型蝸桿刀具之數學模式 10
2.2.2 ZA型蝸桿之齒面數學模式 11
2.3 ZN型蝸桿 13
2.3.1 ZN型蝸桿刀具之數學模式 13
2.3.2 ZN型蝸桿之齒面數學模式 15
2.4 ZI型蝸桿 17
2.4.1 ZI型蝸桿之齒面數學模式 17
2.5 ZK型蝸桿 22
2.5.1 ZK型蝸桿刀具之數學模式 22
2.5.2 ZK型蝸桿之齒面數學模式 25
2.6 ZC型蝸桿 28
2.6.1 ZC型蝸桿刀具之數學模式 28
2.6.2 ZC型蝸桿之齒面數學模式 31
2.7 五型蝸桿齒形數值範例 33
第3章旋風銑削刀具數學模式 37
3.1 前言 37
3.2 ZA型旋風銑削刀具數學模式 37
3.2.1 ZN型旋風銑削刀具數學模式 40
3.2.2 ZI型旋風銑削刀具數學模式 42
3.2.3 ZK型旋風銑削刀具數學模式 44
3.2.4 ZC型旋風銑削刀具數學模式 46
3.3 B-spline 曲線方程式 49
3.4 旋風銑削蝸桿數學模式 51
3.5 五型旋風銑削刀具齒型數值範例 53
第4章切削模擬 55
4.1 前言 55
4.2 旋風銑削刀具前刀面設計 55
4.3 VERICUT加工模擬 57
4.4 模擬結果 61
第5章結論與未來工作 63
5.1 結論 63
5.2 未來工作 64
參考文獻 65

參考文獻

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指導教授

陳怡呈(Chen, Yi-Cheng)

審核日期

2023-12-19

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