博碩士論文 107383601 詳細資訊




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姓名 明智(Achmad Arifin)  查詢紙本館藏   畢業系所 機械工程學系
論文名稱 以鑲刃式刀盤進行螺桿轉子成形銑削之解析數學模型建立與實驗驗證
(Analytical modeling and experimental verification of the screw rotor milling utilizing the forming cutter with inserted blades)
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摘要(中) 螺桿轉子壓縮機由公轉子和母轉子組成,通常在銑削中用於粗加工和磨削用於精加工。帶刀片的刀具適用於螺桿轉子銑削。由於幾何輪廓獨特,每個螺桿轉子輪廓都需要獨特的銑刀設計。需要穩健的刀具設計,包括刀體上的刀片,因為它顯著影響加工精度。因此,研究使用帶有多個刀片(標准或特殊刀片)的盤式銑刀進行銑削操作的螺桿轉子切削是必不可少的。本研究提出了刀片位置確定方法和刀具設計優化模型的解析設計。此外,研究了一種通過刀片切削軌跡法快速獲取模擬轉子輪廓和切削痕的預測模型。這項研究是通過研究螺桿轉子加工的基本概念,包括轉子幾何輪廓和銑刀特性,以一般方法完成的。分析模型包括改進的刀具坯料和刀體輪廓生成方法、刀片安裝到刀體上的新方法、CNC機床模型上的螺桿轉子切削、快速生成模擬轉子輪廓和切削痕的ICT方法以及計算方法通過推導數學方程和程序源代碼建立了轉子輪廓評估。隨後,通過執行螺桿轉子切削模擬(包括 Vericut 軟件的虛擬加工)來檢驗分析模型,並根據理論設計評估模擬結果。最後,進行了實驗測試,以驗證分析設計和模擬結果。結果表明,所有提出的分析模型都是可靠且完全可行的,因為它們成功地達到了它們的目的和功能。
摘要(英) Screw rotor compressor consists of male and female rotors commonly manufactured in milling for roughing and grinding for finishing. A cutter with inserts is suitably applied in screw rotor milling. Since the geometry profile is unique, each screw rotor profile requires a distinct milling cutter design. A robust cutter design, including the inserts onto the cutter body, is required since it significantly influences the machining precision. Hence, a study on screw rotor cutting by milling operation using a disk-type milling cutter with multiple inserts, either standard or special, is essential. This study proposes an analytical design for the insert position establishment method and cutter design optimization model. In addition, a prediction model for rapidly acquiring a simulated rotor profile and cutting marks by the insert cutting trajectory method is studied. The research was accomplished in a general approach by studying the basic concepts of the screw rotor machining, including the rotor geometry profile and milling cutter characteristics. The analytical model consisting of a modified method for generating cutter stock and body profiles, a novel method for inserts establishment onto cutter body, screw rotor cutting on CNC machine model, ICT method for rapidly generating simulated rotor profile and cutting marks, and calculation method for rotor profile evaluation by deriving mathematical equations and the program source codes were established. Subsequently, the analytical models were examined by performing the screw rotor cutting simulation, including the virtual machining by Vericut software, and evaluating the simulated result according to the theoretical design. Finally, an experimental test was conducted to verify the analytical design and simulated results. The results indicate that all the proposed analytical models are reliable and entirely practicable since they successfully reach their purposes and functions.
關鍵字(中) ★ 刀片切削軌跡
★ 銑刀設計
★ 多目標優化
★ 粒子群優化
★ 徑向基本函數
★ 螺桿轉子銑削
★ 統一設計方法
關鍵字(英) ★ inserts cutting trajectory
★ milling cutter design
★ multi-objective optimization
★ particle swarm optimization
★ radial basic function
★ screw rotor milling
★ uniform design method
論文目次 Table of Contents

Information ii
Abstract iii
Graphical Abstract v
Acknowledgment vi
Table of Contents vii
List of Figures x
List of Tables xiii
Nomenclature xiv

Chapter 1 Introduction
1.1. Background and motivation 1
1.2. Literature review 2
1.3. Novelties and contributions 6
1.4. Research Objectives and Approaches 7
1.5. Dissertation writing structure 8

Chapter 2 Mathematical model of cutter design and screw rotors cutting
2.1. Generation of cutter stock and body profile curves 9
2.1.1. Screw rotor profile generation considering declination angle and grinding allowance 9
2.1.2. The generalized coordinate system for movement involvement among screw rotor and cutter body 11
2.1.3. Derivation of cutter stock and body profiles 12
2.2. Novel method for inserts establishment on the milling cutter body 14
2.2.1. Milling cutter with round standard insert 15
2.2.2. Technical steps of multiple inserts establishment 17
2.2.3. Milling cutter with special insert 23
2.3. Analytical method for screw cutting simulation on CNC Rotor Milling Machine 30
2.3.1. Cutter workpiece engagement in screw rotor milling 31
2.3.2. Motion relation and the coordinate system of CNC rotor milling machine 32
2.3.3. Cutting conditions consideration 33
2.3.4. Generation of the milling cutter path 36
2.4. Principle of the insert cutting trajectory (ICT) method 38
2.4.1. General preparation 39
2.4.2. Generation of simulated rotor profile 40
2.4.3. Prediction of surface cutting marks 42
2.5. Calculation method for rotor profile evaluation 43
2.5.1. Normal deviation 43
2.5.2. Surface topography 45
2.5.3. Grinding stock amount 46

Chapter 3 Integrated multi-objective optimization on geometrical cutter design
3.1. The parametric design of milling cutter geometry 47
3.2. Application of the cutter design process by integration multi-objectives model 48
3.2.1. Definition of the critical design factors and the domain constraints 49
3.2.2. Cutting simulation design and the execution 50
3.2.3. Approximation modeling applying Radial Basis Function (RBF) 51
3.2.4. Estimation and optimization of advantageous response applying PSO algorithm 55

Chapter 4 Numerical examples and discussion
4.1. Analytical screw cutting simulation and verification 58
4.2. Analytical design of disk-type milling cutter with multiple standard inserts 62
4.2.1. Novel method validation of multiple inserts establishment 62
4.2.2. Impact of normal deviation position considering correctional offset 64
4.2.3. Surface topography evaluation on the simulated rotor profile 65
4.3. Comparison analysis of the simulated profile and virtual machining verification 67
4.4. Analytical study of geometrical impact on the cutter design parameters 69
4.4.1. Investigating for distinct inclination angle impact 70
4.4.2. Investigating for distinct gap impact of insert arrangement region 71
4.5. Optimized cutter design evaluation and cutting simulation verification 73
4.5.1. Designing actual milling cutter and virtual machining validation 73
4.5.2. Analytical cutting validation and optimization performance analysis 75
4.6. Design evaluation of disk-type milling cutter with special inserts 79
4.6.1. Correctness analysis for the milling cutter design with special inserts 79
4.6.2. Comparison of both milling cutters with special and standard inserts 82
4.6.3. Screw rotor milling verification by experimental 83
4.6.4. Surface topography evaluation on both simulated and machined rotor surface profiles 87
4.7. Prediction model for generating rotor profile and surface cutting marks by insert cutting trajectory (ICT) method 90
4.7.1. Correctness analysis involving both milling cutter with standard and special inserts 90
4.7.2. Evaluation of the prediction model on distinctive cutting conditions 93
4.7.3. Verification of the prediction model on screw rotor milling by the experimental test 96

Chapter 5 Conclusion and Future works
5.1. Conclusion 98
5.2. Future works 99
5.2.1. Prediction model of cutting force and insert life time in screw rotor milling applying cutter with inserted blades 99
5.2.2. Prediction and analysis of cutting chip result in screw rotor milling applying CAD model 101
5.3. List of Publications 102

References
參考文獻 [1] C.J. Chiang, and Z.H. Fong, Design of form milling cutters with multiple inserts for screw rotors, Mechanism and Machine Theory 45(11) (2010) 1613-1627.
[2] N. Stosic, A geometric approach to calculating tool wear in screw rotor machining, International Journal of Machine Tools & Manufacture 46(15) (2006) 1961-1965.
[3] X. Gong, and H.Y. Feng, Cutter-workpiece engagement determination for general milling using triangle mesh modeling. Journal of Computational Design and Engineering 3 (2016) 151-160.
[4] S. Lotfi, B. Rami, B. Maher, D. Giles, and B. Wassila, Cutter-workpiece engagement calculation in 3-axis ball end milling considering cutter run-out. Journal of Manufacturing Processes 41 (2019) 74-82.
[5] Y.Q. Zhao, S Zhao, W. Wei, and H. Hou, Precision grinding of screw rotors using CNC method, International Journal of Advanced Manufacturing Technology 89(9-12) (2017) 2967-2979.
[6] Y.R. Wu, and C.W. Fan, Mathematical modeling for screw rotor form grinding on vertical multi-axis computerized numerical control form grinder, Journal of Manufacturing Science and Engineering 135 (5) (2013) 051020 (1-13)
[7] S. Engin, and Y. Altintas, Mechanics and dynamics of general milling cutters. Part II: inserted cutters, International Journal of Machine Tools & Manufacture 41(15) (2001) 2213-2231.
[8] P. F. Gilles, F. Monies, and W. Rubio, Optimum orientation of a torus milling cutter: Method to balance the transversal cutting force, International Journal of Machine Tools & Manufacture 47(15) (2007) 2263-2272.
[9] H. H. Patel and V.J. Lakhera, A critical review of the experimental studies related to twin-screw compressors. Proceedings of the Institution of Mechanical Engineers Part E-Journal of Process Mechanical Engineering 234(1) (2020) 157-170.
[10] N. Seshaiah, R.K. Sahoo, and S.K. Sarangi, Theoretical and experimental studies on oil injected twin-screw air compressor when compressing different light and heavy gases. Applied Thermal Engineering 30(4) (2010) 327-339.
[11] D. Zaytsev and C.A.I. Ferreira, Profile generation method for twin screw compressor rotors based on the meshing line. International Journal of Refrigeration-Revue Internationale Du Froid 28(5) (2005) 744-755.
[12] Y.R. Wu, and W.H. Hsu, A general mathematical model for continuous generating machining of screw rotors with worm-shaped tools. Applied Mathematical Modelling 38(1) (2014) 28-37.
[13] H.F. Chen, J. Tang, and Z. Wei, Modeling and predicting of surface roughness for generating grinding gear, Journal of Materials Processing Technology 213(5) (2013) 717-721.
[14] F.L. Litvin, and A. Fuentes, Gear Geometry and Applied Theory, 2nd ed., Cambridge University Press, Cambridge, UK, 2004.
[15] N. Stosic, I.K. Smith, and A. Kovacevic, Screw Compressors: Mathematical Modelling and Performance Calculation, 1st ed, Springer, Heidelberg, Germany, 2005.
[16] S. Cao, X. He, R. Zhang, J. Xiao, and G. Shil, Study on the reverse design of screw rotor profiles based on a B-spline curve. Advances in Mechanical Engineering 11(10) (2019) 1-17
[17] Y.R. Wu, and Z.H. Fong, Rotor profile design for the twin-screw compressor based on the normal-rack generation method, Journal of Mechanical Design 130 (4) (2008) 042601.
[18] Z.H. Shen, Profile design method of twin-screw compressor rotors based on the pixel solution, Mathematical Problems in Engineering 2020 (2020) 1-7
[19] M.T. Hoang, Y.R. Wu, and T.L. Nguyen, A universal rotor design method for twin-rotor fluid machines with a parameterized sealing line considering inter-lobe clearances, Vacuum 189 (2021) 1-11
[20] M.R. Khan, and P. Tandon, Mathematical modeling of a generic multi-profile form milling cutter, Proceedings of the Institution of Mechanical Engineers Part C-Journal of Mechanical Engineering Science 227(C5) (2013) 1036-1046.
[21] K. He, G. Li, Y. Du, and Y. Tang, A digital method for calculation the forming cutter profile in machining helical surface, International Journal of Mechanical Sciences 155 (2019) 370-380.
[22] Q. Tang, Y. Zhang, Z. Jiang, and D. Yan, Design Method for Screw Forming Cutter Based on Tooth Profile Composed of Discrete Points. Journal of Mechanical Design 137(8) (2015) 1-8.
[23] Z. Shen, B. Yao, W. Teng, W. Feng, and W. Sun, Generating grinding profile between screw rotor and forming tool by digital graphic scanning (DGS) method, International Journal of Precision Engineering and Manufacturing, 17 (1) (2016) 35-41.
[24] L. Tao, Precision forming method of tool profile for special-shaped screw, 3rd International Academic Exchange Conference on Science and Technology Innovation (IAECST) (2021) 977-981.
[25] Z.M. Kilic and Y. Altintas, Generalized modelling of cutting tool geometries for unified process simulation, International Journal of Machine Tools and Manufacture 104 (2016) 14-25.
[26] T. Mikolajczyk, D. Y. Pimenov, C. I. Pruncu, K. Patra, H. Latos, G. Krolczyk, M. Mia, A. Klodowski, and M. K. Gupta, Obtaining Various Shapes of Machined Surface Using a Tool with a Multi-Insert Cutting Edge, Applied Sciences-Basel 9(5) (2019) 1-12.
[27] K. Jia, J. Guo, S. Zheng, and J. Hong, A general mathematical model for two-parameter generating machining of involute cylindrical gears, Applied Mathematical Modelling 75 (2019) 37-51.
[28] D.Y. Yu and Z. Ding, Geometric characteristics analysis and parametric modeling for screw rotor precision machining, International Journal of Advanced Manufacturing Technology 107 (2020) 3615-3623.
[29] L. Tao, M. Yuan, and H. Fang, A pre-compensation method for profile errors of screw rotors under precision form grinding, International Journal of Advanced Manufacturing Technology 117 (2021) 3229-3239
[30] P. Bo, H. Gonzales, A. Calleja, L.N.L Lacalle, and M. Barton, 5-axis double-flank CNC machining of spiral bevel gears via custom-shaped milling tools - Part I: Modeling and simulation, Precision Engineering 62 (2020) 204-212.
[31] M. Bizzari and M. Barton, Manufacturing of Screw Rotors Via 5-axis Double-Flank CNC Machining, Computer-Aided Design 132 (2021) 1-12.
[32] Y. Kuang, W. Lin, Z. Dong, L. Wu, and Q. Wang, A cutter path generation strategy for helical surface machining of screw rotor, Science Progress 103(1) (2020) 1-16.
[33] J. Han, B. Yuan, D. Wang, C. Sun, and L. Xia, Formation mechanism study on tooth surface of two gear finishing processes: combined theoretical and experimental approaches, Journal of the Brazilian Society of Mechanical Sciences and Engineering 39(12) (2017) 5159-5170.
[34] M. Torta, P. Albertelli, and M. Monno, Surface morphology prediction model for milling operations, The International Journal of Advanced Manufacturing Technology (2020).
[35] P. Wang, S. Zhang, Z. Li, and J. Li, Tool path planning and milling surface simulation for vehicle rear bumper mold, Advances in Mechanical Engineering 8(3) (2016) 1-10.
[36] M.T. Hoang, Y.R. Wu, and V.Q. Tran, A general mathematical model for screw-rotor honing using an internal-meshing honing machine, Mechanism and Machine Theory 154 (2020) 1-15.
[37] V.Q. Tran and Y.R. Wu, A novel method for closed-loop topology modification of helical gears using internal-meshing gear honing, Mechanism and Machine Theory 145 (2020) 1-15.
[38] Z. Liu, Q. Tang, Y.F. Zhang, and N. Liu, An analytical method for surface roughness prediction in precision grinding of screw rotors, The International Journal of Advanced Manufacturing Technology 103 (2019) 2665-2676.
[39] K. Jia, S. Zheng, J. Guo, and J. Hong, A surface enveloping-assisted approach on cutting edge calculation and machining process simulation for skiving, International Journal of Advanced Manufacturing Technology 100 (2019) 1635-1645.
[40] K. T. Fang, Theory, Method and applications of the Uniform Design, International Journal of Realiability, Quality and Safety Engineering 9 (4) (2002) 305-315.
[41] R. Li, Model selection for analysis of Uniform design and computer experiment, International Journal of Realiability, Quality and Safety Engineering 9 (4) (2002) 367-382.
[42] K. T. Fang, and R. Li, Uniform Design for computer experiments and its optimal properties, International Journal Materials and Product Technology 25 (1) (2006) 198-210.
[43] K. Xie, Y. Huang, B. Hu, H. M. Tai, L. Wang, and Q. Liao, Reliability evaluation of bulk power systems using the uniform design technique, IET Generation, Transmission & Distribution 14 (3) (2020) 400-407.
[44] S. Kitayama, M. Arakawa, and K. Yamazaki, Sequential Approximate Optimization using Radial Basis Function network for engineering optimization, Optimization and Engineering, 12(4) (2011) 535-557.
[45] S. Kitayama, J. Srisat, M. Arakawa, and K. Yamazaki, Sequential approximate multi-objective optimization using radial basis function network, Structural and Multidisciplinary Optimization, 48(3) (2015) 501-515.
[46] M. Aghbashlo, S. Hosseinpour, M. Tabatabaei, A. Dadak, H. Younesi, and G. Najafpour, Multi-objective exergetic optimization of continuous photo-biohydrogen production process using a novel hybrid fuzzy clustering-ranking approach coupled with Radial Basis Function (RBF) neural network, International Journal of Hydrogen Energy 41 (2016) 18418-18430.
[47] N. Zhang and Y. Shi, Improvement of cutting force and material removal rate for disc milling TC17 blisk tunnels using GRA–RBF–PSO method, Proceedings of the Institution of Mechanical Engineers, Part C: Journal Mechanical Engineering Science, 233(16) (2019) 5556-5567.
[48] H.T. Hsieh and C.H. Chu, Optimization of tool path planning in 5-axis flank milling of ruled surfaces with improved PSO, International Journal of Precision Engineering and Manufacturing, 13(1) (2012) 77-84.
[49] J.H. Zhou, J.X. Ren and C.F. Yao, Multi-objective optimization of multi-axis ball-end milling Inconel 718 via grey relational analysis coupled with RBF neural network and PSO algorithm, Measurement, 102 (2017) 271-285.
[50] T.V. Sibalija, Particle swarm optimization in designing parameters of manufacturing processes: A review (2008–2018), Applied Soft Computing Journal, 84 (2019) 1-33.
[51] T. Theposonthi and T Ozel, Multi-objective process optimization for micro-end milling of Ti-6Al-4V titanium alloy, International Journal Advanced Manufacturing Technology 63 (2012) 903-914.
[52] R. Goldman, Curvature formulas for implicit curves and surfaces, Computer Aided Geometric Design 22 (2005) 632-658.
[53] M. Cera and E. Pennestri, Higher-order curvature analysis of planar curves enveloped by straight-lines, Mechanism and Machine Theory 134 (2019) 213-223.
[54] A. Canton, L. F. Jambrina, and M. J. V. Gallo, Curvature of planar aesthetic curves, Journal of Computational and Applied Mathematics 381 (2021) 113042 (1-19).
[55] G. Figliolini, H. Stachel, and J. Angeles, Base curves of involute cylindrical gears via Aronhold’s first theorem, Journal Mechanical Engineering Science (2015) 1-10.
[56] Y. Yang, WH. Zhang, and M. Wan, Effect of cutter runout on process geometry and forces in peripheral milling of curved surfaces with variable curvature, International Journal of Machine Tools and Manufacture 51 (2011) 420-427.
[57] YS. Zhou, ZC. Chen, XJ. Yang, An accurate, efficient envelope approach to modeling the geometric deviation of the machined surface for a specific five-axis CNC machine tool, International Journal of Machine Tools and Manufacture 95 (2015) 67-77.
[58] L. Tao, Y. Wang, Y. He, H. Feng, Y. Ou, and X. Wang, A numerical method for evaluating effects of installation errors of grinding wheel on rotor profile in screw rotor grinding, Journal Engineering Manufacture (2016) 1-18.
[59] Y.R. Wu and J.W. Chi, A numerical method for the evaluation of the meshing clearance for twin screw rotors with discrete tooth profile points, Mechanism and Machine Theory 70 (2013) 62-73
[60] Y Zhang, ZT. Chen, ZQ. Zhu, and XD. Wang, A sampling method for blade measurement based on statistical analysis of profile deviations, Measurement 163 (2020)
[61] P. Pawlus, R. Reizer, and M. Wieczorowski, A review of methods of random surface topography modeling, Tribology International 152 (2020)
[62] N. Gunantara and Q Ai, A review of multi-objective optimization: Methods and its applications, Cogent Engineering, 5(1) (2018)
[63] Sandvik Coromant, Rotating tools [catalogues], (2020) 99.
[64] K.V.M.K. Raju, G.R. Janardhana, P.N. Kumar, and V.D.P. Rao, Optimization of cutting conditions for surface roughness in CNC end milling, International Journal of Advanced Manufacturing Technology 12 (2011) 383-391.
[65] A.T. Abbas, A.E. Ragab, E.A. Bahkali, and E.A.E. Danaf, Optimizing Cutting Conditions for Minimum Surface Roughness in Face Milling of High Strength Steel Using Carbide Inserts, Advances in Materials Science and Engineering (2016)
[66] M. Svahn, C. Andersson, and L. Vedmar, Prediction and experimental verification of the cutting forces in gear form milling, International Journal of Advanced Manufacturing Technology, 82 (2016) 111-121.
[67] K. Moussaoui, F. Monies, P. Gilles, and W. Rubio, Balancing the transverse cutting forces during inclined milling and effect on tool wear: application to Ti6Al4V, International Journal of Advanced Manufacturing Technology, 82 (2016) 1859-1880.
[68] N. Tapoglou, Calculation of non-deformed chip and gear geometry in power skiving using a CAD-based simulation, International Journal of Advanced Manufacturing Technology, 100 (2019) 1779-1785
指導教授 吳育仁(Wu Yu-Ren) 審核日期 2022-7-20
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