雙螺桿轉子對之泛用齒間間隙計算方法

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姓名

黃大祐(Da-You Huang) 查詢紙本館藏

畢業系所

機械工程學系

論文名稱

雙螺桿轉子對之泛用齒間間隙計算方法
(A General Method on Inter-Lobe Clearance Evaluation for Twin-Screw Rotor Pairs)

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至系統瀏覽論文 (2027-9-30以後開放)

摘要(中)

螺桿轉子對(Screw rotor pair)係為雙螺桿流體機器中關鍵之零組件，兩
轉子可為相互接觸或互不接觸、以相反方向運轉，而轉子齒形與兩轉子間
嚙合間隙(Meshing clearance)設計對機器性能至為關鍵，然而在實務中，雙螺桿流體機器之螺桿齒廓種類多、曲率變化大、兩螺桿面間嚙合間隙分佈不易量測，過去文獻中亦缺乏一套較為通用之嚙合間隙分佈計算方法。故本研究提出一套通用之雙螺桿齒間間隙數值計算方法，基於離散方法、將
理論設計或三次元量測儀取得之轉子齒形點資料進行整理，把曲率變異過
大之轉子齒形分類為共軛、非共軛曲線段，進行齒間間隙分析、及呈現沿
接觸線上之間隙分佈，以更直觀的方式呈現轉子嚙合時、齒面間之流體洩
漏帶(Fluid leakage band)，此外，亦示範利用間隙分析結果逆向創成一對不具間隙之共軛轉子齒形。透過數值範例，以不同轉子齒形、不同導程設定，驗證所提方法之正確性，更證明此方法可考慮裝配誤差計算齒間間隙。

摘要(英)

The key component in twin-screw fluid machines is a pair of screw rotors, which rotate parallelly around the respective axis in the opposite directions. Two meshing rotors may be with or without contact. Design on rotor profiles to form a better meshing clearance band is a main factor to affect the machine performance. In the practical application, it is difficult to measure the clearance distribution between the surfaces of meshing screw rotors due to the variety in rotor types and the large curvature variation on rotor profiles. In view of this, this study proposes a general numerical method to evaluate the meshing clearance for twin-screw rotor pairs. Discrete point data of rotor profiles obtained from the theoretical design or the 3-D coordinate measuring machine (CMM) is used to conduct the meshing clearance analysis and the 3-D clearance presentation along the contact line, after being classified into the conjugated and non- conjugated profile segments. The fluid leakage band can thus be presented more intuitively. In addition, a pair of conjugated rotor profiles without clearance is able to generated by correcting the calculated result of meshing clearance. As results shown in the numerical examples, correctness of the proposed method is verified through several cases of rotor profiles with different tooth profiles and different leads. It is also proved that this method is suited to calculate the meshing clearance considering the assembly error of rotors.

關鍵字(中)

★ 雙螺桿流體機器
★ 洩漏
★ 嚙合間隙
★ 接觸線
★ 裝配誤差

關鍵字(英)

★ twin-screw fluid machine
★ fluid leakage
★ meshing clearance
★ contact line
★ assembly error

論文目次

摘要 I
Abstract II
謝誌 III
目錄 IV
圖目錄 VI
表目錄 VIII
符號對照表 IX
第1章緒論 1
1-1 研究背景 1
1-2 研究動機與目的 4
1-3 文獻回顧 5
1-4 論文架構 7
第2章轉子齒形點資料數學模型 8
2-1 點資料分群與曲線擬合數學模型建立 9
2-2 擬合曲線分段與分類數學模型建立 10
2-3 本章結論 14
第3章轉子齒面間隙計算 15
3-1 雙螺桿轉子泛用座標系統建立 16
3-2 共軛部分之接觸線創成 18
3-2-1 曲線嚙合之接觸線 19
3-2-2 點嚙合之接觸線 20
3-3 齒間間隙計算與分佈數學模型建立 23
3-3-1 共軛部分之齒間間隙計算 23
3-3-2 非共軛部分之齒間間隙計算 24
3-3-3 齒間間隙分佈數學模型 26
3-4 原始齒形創成數學模型 27
3-5 本章結論 29
第4章數值範例 30
4-1 定導程轉子間隙計算 30
4-2 變導程轉子間隙計算 35
4-3 逆向創成原始齒形 38
4-4 具裝配偏差之轉子間隙計算 40
4-5 本章總結 43
第5章總結與未來展望 44
5-1 總結 44
5-2 未來展望 45
參考文獻 46
作者介紹 48

參考文獻

[1] Wu, Y. R. and Fong, Z. H., “Improved rotor profiling based on the arbitrary sealing line for twin-screw compressors,” Mech. Mach. Theory, Vol. 43(6), pp. 695-711, 2008.
[2] D. Yan, A. Kovacevic, Q. Tang, S. Rane, and W. Zhang, “Numerical modelling of twin-screw pumps based on computational fluid dynamics,” P. I. Mech. Eng. C-J. Mech. Eng.Sci., Vol. 231(24), pp. 4617-4634, 2017.
[3] 漢鐘精機股份有限公司 P-PS 系列和 P-PD 系列轉子
[4] 陳嘉興、方宏聲，「真空泵之螺旋轉子齒形」，漢鐘精機股份有限公
司，中華民國發明專利，公開號：201018789，2010。
[5] Ozawa, O., Ichikawa, T. and Matuda, S., “Screw rotor and vacuum pump,” Kashiyama Industries, LTD, Tokyo (JP), US Patent, 20070041861A1, 2007.
[6] D. Yan, A. Kovacevic, Q. Tang, S. Rane, and W. Zhang, “Numerical investigation of cavitation in twin-screw pumps,” P. I. Mech. Eng. C-J. Mech. Eng. Sci., Vol. 232, pp. 3733-3750, 2018.
[7] D. Yan, A. Kovacevic, Q. Tang, S. Rane, and W. Zhang, “Numerical investigation of cavitation in twin-screw pumps,” P. I. Mech. Eng. C-J. Mech. Eng. Sci., Vol. 232, pp. 3733-3750, 2018.
[8] Fleming, J. S. and Tang, Y., The analysis of leakage in a twin screw compressor and its application to performance improvement. Proceedings of the Institution of Mechanical Engineers, Part E: Journal of Process Mechanical Engineering, 209(2), 125-136, 1995
[9] N. Stosic, I. Smith, and A. Kovacevic, Screw Compressors: Mathematical Modelling and Performance Calculation, Springer Science & Business Media, 2005.
[10]Wu, T. F., Tsai, P. S., Hu, N. T., and Chen, J. Y.. Combining turning point detection and Dijkstra’s algorithm to search the shortest path. Advances in Mechanical Engineering, 9(2), 2017.
[11]Steffen, M. A simple method for monotonic interpolation in one dimension. Astronomy and Astrophysics, 239, 443, 1990.
[12]Fong, Z. H., Huang, F. C., and Fang, H. S., “Evaluating the Inter-Lobe Clearance of Twin-Screw Compressor by the Iso-Clearance Contour Diagram (ICCD),” Mech. Mach. Theory., Vol. 36, No. 6, pp. 725-742, 2001.
[13]Xiao, D. Z., Gao, Y., Wang, Z. Q., and Liu, D. M., “Conjugation Criterion for Making Clearance of the Meshed Helical Surfaces,” J. Mech. Des., Vol. 127, No.1, pp. 164-168, 2005.
[14]Fong, Z. H. and Huang, F. C., “Evaluating the Interlobe Clearance and Determining the Sizes and Shapes of All the Leakage Paths for Twin-Screw Vacuum Pump,” P. I. Mech. Eng. C-J. Mech. Eng. Sci., Vol. 220, No. 4, pp. 499-506, 2006.
[15]Wu, Y. R. and Chi, J. W., “A Numerical Method for the Evaluation of the Meshing Clearance for Twin Screw Rotors
with Discrete Tooth Profile Points,” Mech. Mach. Theory., Vol. 70, pp. 62-73, 2013.
[16]陳子安、吳育仁，2018，「雙螺桿壓縮機變導程轉子齒間法向間隙之
數值計算方法及其三維幾何模型驗證」，國立中央大學，碩士論文。
[17]Hoang, M.T. and Y.R. Wu, “Inter-lobe clearance estimation for twin-screw rotor pairs with point-meshing features,” P. I. Mech. Eng. E-J. Mech. Eng. Sci., Vol. 0(0), pp. 1-11, 2020.
[18]Litvin, F.L. and Fuentes, A., Gear geometry and applied theory, 2th ed., Cambridge University Press, 2004.
[19]Zwillinger, D., CRC standard mathematical tables and formulas. chapman and hall/CRC, 2018.

指導教授

吳育仁(Yu-Ren Wu)

審核日期

2022-9-29

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