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姓名	賴柏翰(Lai-Po Han)  查詢紙本館藏	畢業系所	機械工程學系
論文名稱	ZN型雙包絡蝸桿與螺旋齒輪接觸分析 (Tooth Contact Analysis of ZN-Type Double-Enveloping Worm and Helical Gear)
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摘要(中)	蝸桿蝸輪組是屬於空間交錯軸(crossed-axis)傳動機構，具有高傳動減速比，體積較小、噪音低、結構緊湊以及承載能力大等特點，而雙包絡蝸桿蝸輪組可以比蝸桿蝸輪組更高的接觸比(Contact Ratio)，定位精度及負載的傳遞也較好。 　　本研究針對ZN型雙包絡蝸桿及螺旋齒輪的搭配，從設計、模擬及分析進行一系列之研究，並有系統的建立ZN型雙包絡蝸桿及螺旋齒輪的研究流程。首先根據齒輪原理(Theory of Gearing)，採用軌跡法利用齒輪型車刀推導出ZN型雙包絡蝸桿齒面數學模式，再利用齒條刀與嚙合方程式推導出具轉位修整之螺旋齒輪齒面數學模式。根據推導出之ZN型雙包絡蝸桿與螺旋齒輪先進行干涉檢查，透過蝸桿包絡半徑參數修整再進行齒面接觸分析(Tooth Contact Analysis, TCA)，探討不同包絡半徑下的傳動誤差與接觸軌跡。最後根據齒面接觸分析的結果找出最佳的參數，進行有限元素法應力分析，並計算螺旋齒輪各齒間負載分布及嚙合效率。
摘要(英)	Worm gear set is a spatial crossed-axis transmission mechanism, which has the characteristics of high reduction ratio, compact, low noise, compact structure and large load carrying capacity. The double-enveloping worm gear set has a higher contact ratio than the cylindrical worm gear set. The accuracy and load transfer are also better. This research aims at the study of the combination of ZN-type double-enveloping worm and helical gear, including design, simulation, and analysis. Firstly, the Theory of Gearing is used to derived the mathematical model of ZN-type double-enveloping worm by using the gear-type cutter. Then, the helical gear with profile shifting is derived. Based on the model of ZN-type double-enveloping worm and helical gear, the interference was inspected, and the worm enveloping radius was adjusted. Tooth contact analysis was used to explore the transmission error and contact path under various enveloping radius of the worm. According to the results of the tooth contact analysis, the best parameters are found to perform the finite element stress analysis. estimating the load distribution and meshing efficiency between the helical gear teeth.
關鍵字(中)	★ ZN型雙包絡蝸桿 ★ 齒面接觸分析 ★ 有限元素分析 ★ 傳動誤差 ★ 接觸軌跡	關鍵字(英)	★ ZN-Type Double-Enveloping Worm ★ Tooth Contact Analysis ★ Finite Element Analysis ★ Contact Path ★ Transmission Error
論文目次	摘要 i Abstact ii 致謝 iii 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 1 1.3 研究目的 9 1.4 論文架構 10 第2章 ZN型雙包絡蝸桿齒面數學模式 11 2.1 齒輪型直邊車刀法向外型數學模式 11 2.2 ZN型雙包絡蝸桿數學模型建立 14 2.3 ZN型雙包絡蝸桿電腦繪圖 19 第3章 螺旋齒輪齒面數學模式 20 3.1 螺旋齒條刀數學模式 20 3.2 三維假想齒條刀數學模式 21 3.3 修整型螺旋齒輪之數學模式 25 3.4 螺旋齒輪電腦繪圖 27 第4章 齒面接觸分析 29 4.1 齒面接觸分析方程式 29 4.2 傳動誤差分析 30 4.3 組裝誤差分析 30 4.4 接觸齒印分析 34 4.5 參數設計流程 38 4.6 齒面接觸分析(理想狀態，無組裝誤差) 41 4.7 齒面接觸分析(考慮組裝誤差) 49 4.8 結論 56 第5章 負載下齒面接觸分析 57 5.1 自動化網格分割程式 57 5.2 有限元素分析設定 59 5.3 有限元素分析結果 61 5.4 結論 65 第6章 結論與未來展望 66 6.1 結論 66 6.2 未來展望 68 參考文獻 69
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指導教授	陳怡呈(Chen-Yi Cheng)	審核日期	2021-1-27
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