指狀銑刀安裝偏差對真空泵螺桿轉子加工精度影響之研究

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姓名

普樹源(BUI THI XUYEN) 查詢紙本館藏

畢業系所

機械工程學系

論文名稱

指狀銑刀安裝偏差對真空泵螺桿轉子加工精度影響之研究
(A Study on Influence of Finger-Shaped Milling Tool Offsets on Machining Accuracy of Vacuum Pump Screw Rotors)

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摘要(中)

螺桿轉子之加工精度對雙螺桿真空泵之內部流體洩漏及工作性能有極大影響，在實務中，利用指形銑刀進行螺桿轉子之成形銑削是常用的加工方法之一，然而，如何利用加工機台上刀具偏移的方式，降低及控制因刀具磨耗所造成之轉子線形加工誤差，使符合精度要求，至今甚少文獻進行研究及探討。故本文基於具間隙之轉子線形離散點資料創生指形銑刀廓形並建立數學模型，透過建立傳統數控銑床上刀具與被加工轉子間之相對運動關係，進行加工模擬並研究指形銑刀偏移後之轉子線形加工偏差，其中，包括三個線性及兩個角度之刀具偏移量。此外，本研究亦應用敏感度矩陣(Sensitivity Matrix)法結合奇異值分解(SVD)求解可行的刀具偏移組合，以達到所需之轉子線形加工精度。由數值案例之結果，可證實本文所提方法可以有效降低轉子線形之加工誤差。
關鍵詞：成形銑削、刀具偏移、敏感度矩陣、SVD、真空泵、加工精度

摘要(英)

Manufacturing accuracy of a pair of screw rotors greatly affects the performance of a twin-screw vacuum pump. In the practical application, form milling with the finger-shaped cutting tools is one of the commonly used ways to manufacture the screw rotors. Nevertheless, how to reduce and control the rotor profile error, caused by the tool abrasion, by means of the adjustment of cutting tool offsets on the CNC milling machine has not been studied by now. Therefore, the mathematical model is presented to generate the finger-shaped cutting tool profile based on the discrete rotor profile points with clearance. Next, the relative motion relationship between the cutting tool and the screw rotor on a traditional milling machine with the tool offsets is established to pursue the cutting simulation and study the manufactured rotor profile deviation with respect to different milling tool offsets, including three linear and two angular offsets. In addition, the sensitivity matrix method combined with the singular value decomposition (SVD) is applied to obtain a feasible combination of tool offsets to achieve the desired rotor profile accuracy. As the results shown in the numerical examples, it has been validated that the manufacturing accuracy of rotor profile can be reduced by applying the proposed method.
Keywords: form milling, tool offset, sensitivity matrix, SVD, vacuum pump, manufacturing accuracy

關鍵字(中)

★ 成形銑削
★ 刀具偏移
★ 敏感度矩陣
★ SVD
★ 真空泵
★ 加工精度

關鍵字(英)

論文目次

摘要 i
Abstract ii
Acknowledgments iii
Table of Contents iv
List of Figures vii
List of Tables ix
Nomenclature x
Chapter 1. Introduction 1
1-1. Research background 1
1-2. Literature review 6
1-3. Motivations and goals 8
1-4. Thesis structure 9
Chapter 2. Mathematical model for generation of finger-shaped cutting tool and rotor profiles 11
2-1. Generation of rotor screw surface 11
2-2. Mathematical modelling of generation of finger-shaped cutting tool 15
2-3. Mathematical modelling for cutting simulation of screw rotor profile 20
Chapter 3. Application of sensitivity matrix and SVD method on rotor milling 23
3-1. Calculation method of normal deviation of generated rotor profile 23
3-2. Determination of cutting tool offsets based on rotor profile deviation by sensitivity matrix and SVD methods 26
Chapter 4. Numerical examples 29
4-1. Correctness verification of generated finger-shaped cutting tool 29
4-1-1. Comparison of the finger-shaped cutting tool profiles generated by mathematical model and HPMS software 31
4-1-2. Comparison between the referenced and generated rotor profile 32
4-2. Influence of the cutting tool offsets on the rotor profile 33
4-2-1. Influence of the different tangential offsets on the rotor profile 34
4-2-2. Influence of the different radial offsets on the rotor profile 35
4-2-3. Influence of the axial offsets on the rotor profile 36
4-2-4. Influence of the tilt angle offsets on the rotor profile 38
4-2-5. Influence of the approach angle offsets on the rotor profile 39
4-3. Normal deviation of the rotor profiles with clearance 41
4-3-1. Normal deviation of the rotor profile through adjustment of three cutting tool offsets for epicycloid AB including the tangential offset, the axial offset, and the radial offset 42
4-3-2. Normal deviation of the rotor profile through adjustment of four cutting tool offsets including the tangential offset, the tilt angle offset, the axial offset, and the radial offset. 44
4-3-3. Normal deviation of generated and goal rotor profile with adjustment of five cutting tool offsets for epicycloid AB 46
4-3-4. Normal deviation of generated and goal rotor profile with adjustment of five cutting tool offsets for compound curve CF 47
Chapter 5. Conclusions 49
References 50
Vitae 53

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指導教授

吳育仁

審核日期

2019-1-22

推文