乾式真空幫浦之變導程螺桿轉子動平衡研究

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姓名

葉伯樂(Abdullah Syafiq) 查詢紙本館藏

畢業系所

機械工程學系

論文名稱

乾式真空幫浦之變導程螺桿轉子動平衡研究
(A Study on Dynamic Balancing of Variable-pitch Screw Rotors for Dry Vacuum Pumps)

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至系統瀏覽論文 (2026-7-8以後開放)

摘要(中)

如今，轉子真空幫浦在許多工業領域中廣泛被使用，像是汽車、製藥、食品、化學
等。真空幫浦最重要的部分即是轉子本身，其主要的問題在於轉子不平衡性。目前許
多研究正在開發變導程螺桿轉子，因為它們具有提升真空幫浦性能的優點。然而，這
將會增加轉子動不平衡，這就是為什麼需要設計轉子動平衡來維持真空幫浦的性能和
使用壽命。在前期研究的基礎上，本研究旨在透過兩種不同的方法來確定變導程螺桿
轉子的動平衡。第一種方法是將現有轉子虛擬地分成若干段，並確定每段的質量和質
心以用於轉子不平衡計算。之後，根據不平衡計算的結果，確定需要去除之質量塊形
狀、質量和位置。第二種方法涉及一種具有三個不同線段的變導程曲線模型，透過參
數化變導程曲線，使轉子消除慣性矩並達到動平衡條件。本研究提出之兩種動平衡方
法，皆利用最佳化模組 Global Optimization Tools 進行求解，並可以快速地計算出最佳
結果。根據結果顯示，本研究提出之兩種動平衡方法能夠使剛性轉子之動平衡標準達
到 ISO-1940，並且可以應用在不同輪廓和形狀的變導程螺桿轉子上。

摘要(英)

Nowadays, many industries such as automotive, pharmaceutical, food, and chemical have
applied vacuum pumps with screw rotors. The most important part of a vacuum pump is the
rotor itself. The main problem with a rotating rotor is that it is unbalanced. Current researches
are developing screw rotors with variable pitch because of their advantage in improving rotor
efficiencies. However, it will increase the dynamic unbalance of the rotor. That is why dynamic
balance is needed to maintain the pump′s performance and service life. Based on previous
research, this study purposed to determine the dynamic balancing method on variable pitch
screw rotors with two different methods. The first method is to divide the existing rotor into
several segments virtually to define the mass and centroid of each segment. It can be used for
the unbalance calculation. After that, the results of the unbalanced calculation are used to
determine the cavity shape, mass, and position. The second method involves a variable pitch
curve model with three different segments to remove the inertia moment and achieve dynamic
balance conditions. Global Optimization Tools were used to get both proposed methods′ best
results and time efficiently. Both proposed methods can achieve the balanced rigid rotor
standard ISO-1940, and it is possible to implement these methods on screw rotor variable pitch
with different rotor profiles and shapes.

關鍵字(中)

★ 動平衡
★ 乾式真空幫浦
★ 螺桿轉子
★ 變導程
★ 最佳化

關鍵字(英)

★ Dynamic Balance
★ Dry Vacuum Pump
★ Screw Rotor
★ Variable Pitch
★ Global Optimization Tools

論文目次

Tabel of Contents
_
Information...............................................................................................................................I
摘要...........................................................................................................................................II
Abstract..................................................................................................................................III
Acknowledgment................................................................................................................... IV
Tabel of Contents....................................................................................................................V
List of figures........................................................................................................................VII
List of tables........................................................................................................................... IX
Nomenclature ........................................................................................................................ XI
1. Introduction......................................................................................................................1
1.1 Research Background..................................................................................................1
1.2 Literature Review........................................................................................................2
1.3 Research Objective......................................................................................................5
1.4 Thesis Overview..........................................................................................................6
2. Screw Rotor with Variable Pitch Dynamic Balancing Design.....................................7
2.1 Screw Rotor Design ....................................................................................................7
2.2 Principle of Dynamic Balancing Correction ...............................................................9
2.3 Dynamic Balancing Method......................................................................................10
2.4 Dynamic Balance Level Specifications.....................................................................14
2.5 Establishment of Adams Simulation Configuration..................................................17
3. Cavity Rotor Design and Optimization Tools.............................................................20
3.1 Mathematical Cavity Design.....................................................................................20
3.2 Global Optimization Tools........................................................................................24
4. Analysis of Rotor Dynamic Balancing Calculation.....................................................27
4.1 Dynamic Balancing Calculation Result ....................................................................27
4.2 Dynamic Balancing Calculation Result with Global Optimization Tools................31
4.3 Adams Simulation Result..........................................................................................33
5. Variable Pitch Curve Modification ..............................................................................39
5.1 Establishment of Variable Pitch Curve .....................................................................39
5.1.1 One Segment of Variable Pitch Curve...............................................................40
5.1.2 Two Segments of Variable Pitch Curve.............................................................41
5.1.3 Three Segments of Variable Pitch Curve...........................................................43
5.2 Numerical Example of Variable Pitch Curve Modification......................................44
VI
5.2.1 Segment Adjustment...............................................................................................45
5.2.2 Variable Pitch Function Optimization ...................................................................51
5.2.3 Optimization Adjustment........................................................................................55
6. Conclusion and Future Outlook ...................................................................................56
6.1 Conclusion .....................................................................................................................56
6.2 Future Outlook...............................................................................................................57
Reference ................................................................................................................................58
Personal vitae .........................................................................................................................61

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指導教授

吳育仁(Wu Yu Ren)

審核日期

2024-7-9

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