(Đồ án hcmute) research on the effect of cutting parameters on the surface roughness and dimensionnal deviation during maching quenched skd61 steel using wire edm

MINISTRY OF EDUCATION AND TRAINING HO CHI MINH CITY UNIVERSITY OF TECHNOLOGY AND EDUCATION FACULTY FOR HIGH QUALITY TRAINING GRADUATION PROJECT MAJOR MECHANICAL ENGINEERING RESEARCH ON THE EFFECT OF CUTTING PARAMETERS ON THE SURFACE ROUGHNESS ANG DIMENSIONAL DEVIATION DURING MACHING QUENCHED SKD61 STEEL USING WIRE EDM ADVISOR: DR NGUYEN THANH TAN STUDENT: TRAN NHAT DUY TRAN TUAN HUNG PHAN TRONG NHAN SKL009929 Ho Chi Minh city, February 2023 HO CHI MINH CITY UNIVERSITY OF TECHNOLOGY AND EDUCATION FACULTY FOR HIGH QUALITY TRAINING CAPSTONE PROJECT RESEARCH ON THE EFFECT OF CUTTING PARAMETERS ON THE SURFACE ROUGHNESS AND DIMENSIONAL DEVIATION DURING MACHINING QUENCHED SKD61 STEEL USING WIRE EDM Student: TRAN NHAT DUY Student ID: 18144011 Student: TRAN TUAN HUNG Student ID: 18144023 Student: PHAN TRONG NHAN Student ID: 18144041 Major: MECHANICAL ENGINEERING Advisor: NGUYEN THANH TAN, M.S Ho Chi Minh city, 18th February 2023 HO CHI MINH CITY UNIVERSITY OF TECHNOLOGY AND EDUCATION FACULTY FOR HIGH QUALITY TRAINING CAPSTONE PROJECT RESEARCH ON THE EFFECT OF CUTTING PARAMETERS ON THE SURFACE ROUGHNESS AND DIMENSIONAL DEVIATION DURING MACHINING QUENCHED SKD61 STEEL USING WIRE EDM Student: TRAN NHAT DUY Student ID: 18144011 Student: TRAN TUAN HUNG Student ID: 18144023 Student: PHAN TRONG NHAN Student ID: 18144041 Major: MECHANICAL ENGINEERING Advisor: NGUYEN THANH TAN, M.S Ho Chi Minh city, 18th February 2023 Faculty for High Quality Training – HCMC University of Technology and Education HCMC UNIVERSITY OF TECHNOLOGY AND EDUCATION FACULTY OF HIGH QUALITY TRAINING THE SOCIALIST REPULIC OF VIETNAM Independence – Freedom – Happiness CAPSTONE PROJECT ASSIGNMENT Advisor : NGUYỄN THANH TÂN M.S Students’s name: TRẦN TUẤN HÙNG Student ID: 18144023 PHAN TRỌNG NHÂN Student ID: 18144041 TRẦN NHẬT DUY Student ID: 18144011 Project title: Research on the effect of cutting parameters on the surface roughness and dimensional deviation during machining quenched SKD61 steel using wire EDM Initial material provided by the advisor: - Chemical composition, standards, and properties of SKD61 steel; - Quenching process of SKD61 steel; - Machining process of metal using wire EDM; - Evaluation methods of surface roughness and dimensional deviation; Content of the project: - A survey on wire EDM and Taguchi method; - Determination of workpiece size, cutting shape, and cutting parameters; - Design of machining process for quenched SKD61 steel and machining; - Measurement of surface roughness and dimension of machined parts; - Determination of optimal cutting parameters using Taguchi method; Expected products: - Machined parts and opimal cutting parameters; - Report of capstone project; Date of assignment: 5/9/2022 Date of submisson Presentation language: The report: English  Vietnamese  Presentation : English  Vietnamese  TRƯỞNG KHOA TRƯỞNG NGÀNH ADVISOR (Sign with full name) (Sign with full name) (Sign with full name) Faculty for High Quality Training – HCMC University of Technology and Education HCMC UNIVERSITY OF TECHNOLOGY AND EDUCATION FACULTY OF HIGH QUALITY TRAINING THE SOCIALIST REPULIC OF VIETNAM Independence – Freedom – Happiness CAPSTONE PROJECT EVALUATION FORM (FOR ADVISOR USE ONLY) Title of thesis: Research on the effect of cutting parameters on the surface roughness and dimensional deviation during machining quenched SKD61 steel using wire EDM Major: Mechanical Engineering Technology Committee Number Student’s name 01: Trần Tuấn Hùng Student’s ID: 18144023 Student’s name 02: Phan Trọng Nhân Student’s ID: 18144041 Student’s name 03: Trần Nhật Duy Student’s ID: 18144011 Advisor: Nguyễn Thanh Tân M.S Academic Position: M.S Name of Institute: COMMENTS COMMENTS ON ATTITUDE AND BEHAVIOR OF STUDENTS COMMENTS ON RESULTS OF CAPSTONE PROJECT 2.1 Structure of the capstone project 2.2 Main contents Faculty for High Quality Training – HCMC University of Technology and Education 2.3 Results of capstone project 2.4 Capstone strengths and weaknesses EVALUATION No MAX ACHIEVED POINT POINT CONTENT Structure of the capstone project 30 Student follows exactly the format for capstone project given by FME 10 The motivation of the project is clearly provided in the thesis 10 The NEED of project is clearly shown in the thesis 10 50 Main contents (demonstration that students have ability to): Apply knowledge of math, engineering, and science Analyze and interpret data 10 15 Design and manufacturing the system, component or process to meet needs Improvement and development in future 15 Use the software and technical tool to solve the problem Real-life applications of capstone project 10 Products of capstone project 10 Total 100 CONCLUSIONS  Accept  Reject HCMC, … /… /2022 ADVISOR (Signature and Name) Faculty for High Quality Training – HCMC University of Technology and Education HCMC UNIVERSITY OF TECHNOLOGY AND EDUCATION FACULTY OF HIGH QUALITY TRAINING THE SOCIALIST REPULIC OF VIETNAM Independence – Freedom – Happiness CAPSTONE PROJECT EVALUATION FORM (FOR REVIEWER USE ONLY) Title of thesis: Research on the effect of cutting parameters on the surface roughness and dimensional deviation during machining quenched SKD61 steel using wire EDM Major: Mechanical Engineering Technology Committee Number Student’s name 01: Trần Tuấn Hùng Student’s ID: 18144023 Student’s name 02: Phan Trọng Nhân Student’s ID: 18144041 Student’s name 03: Trần Nhật Duy Student’s ID: 18144011 Advisor: Nguyễn Thanh Tân Academic Position: M.S Name of Institute: COMMENTS COMMENTS ON ATTITUDE AND BEHAVIOR OF STUDENTS COMMENTS ON RESULTS OF CAPSTONE PROJECT 2.1 Structure of the capstone project 2.2 Main contents Faculty for High Quality Training – HCMC University of Technology and Education 2.3 Results of capstone project 2.4 Capstone strengths and weaknesses EVALUATION No MAX ACHIEVED POINT POINT CONTENT Structure of the capstone project 30 Student follows exactly the format for capstone project given by FME 10 The motivation of the project is clearly provided in the thesis 10 The NEED of project is clearly shown in the thesis 10 50 Main contents (demonstration that students have ability to): Apply knowledge of math, engineering, and science Analyze and interpret data 10 15 Design and manufacturing the system, component or process to meet needs Improvement and development in future 15 Use the software and technical tool to solve the problem Real-life applications of capstone project 10 Products of capstone project 10 Total 100 CONCLUSIONS  Accept  Reject HCMC, … /… /2022 REVIEWER (Signature and Name) Faculty for High Quality Training – HCMC University of Technology and Education DISCLAIMER The authors, Tran Nhat Duy, Tran Tuan Hung and Phan Trong Nhan confirm that the work presented in this capstone is our own All the data in the thesis are reliable and are not published in any previous studies or research Where information has been derived from other sources, we confirm that this has been indicated in the capstone i Faculty for High Quality Training – HCMC University of Technology and Education ACKNOWLEDGEMENT With the deepest and most sincere appreciation, the author team would like to thank all individuals and organizations who have assisted and supported the author group during the study process and research on this topic The authors have gotten a great deal of attention and assistance from their teachers and peers since the beginning of our studies The authors would like to express our gratitude to the lecturers at the Faculty of HighQuality Training and the Faculty of Mechanical Engineering at Ho Chi Minh City University of Technology and Education for providing us with invaluable knowledge during our school years Thanks to the assistance and instruction of the lecturers, the group of students could effectively complete our research project The authors would like to extend our gratitude once more to Mr Nguyen Thanh Tan, who directly assisted, cared for, and supervised the team in completing this report In addition, the authors would like to express their sincere appreciation to Mr Tran Van Tron for providing the students with the professional knowledge and equipment-operating skills necessary to execute the capstone project The authors would also want to show their profound appreciation to Mr Cong and Mr Giang for supporting the team with all their expertise in machining and machinery maintenance procedures, hence assisting the team in achieving the best outcomes while executing the capstone project In the process of implementing the graduation project, although we have tried to complete the project through looking at references, exchanging, listening and absorbing comments But it is impossible not to avoid shortcomings Therefore, the author team welcomes and sincerely thanks the comments and suggestions of the teachers Finally, the author team would like to extend our gratitude and best wishes for good health to all who supported us and helped us accomplish this project Ho Chi Minh city, 18th February, 2023 The author team Trần Nhật Duy Trần Tuấn Hùng Phan Trọng Nhân ii Faculty for High Quality Training – HCMC University of Technology and Education 4.4.3 Cutting Time By using the Minitab 21, we have the table 4.15: Table 4.15: ANOVA table for Cutting time: Factors DoF SS MS F-value P -value Contribution (%) Pulse On Time (μs) 1403.89 701.94 836.11 0.00 39.64 Pulse Off Time (μs) 622.01 311.01 370.45 0.00 17.56 Servo Voltage (V) 1334.53 667.27 794.81 0.00 37.68 Wire Tension (N) 165.95 82.97 98.83 0.00 4.69 Error 18 15.11 0.84 − − 0.43 Total 26 3541.49 − − − 100 In which: − DoF: Degree of Freedom − SS: Sum of Squares − MS: Mean of Squares ( 𝑆𝑆 ) 𝐷𝑜𝐹 𝑆𝑆 − F-value: Fisher’s value ( 𝑆𝑆𝐸 ) From table 4.15, the P-values of all factors are less than 0.05, so we draw the conclusions that these factors have a statistically significant difference to the surface roughness at the 95% confidence level According to the F distribution table, we have F0.05,2,26 = 3.37 and this value is smaller than the F-value of all factors This leads the fact that these factors have a significant influence on the surface roughness 86 Faculty for High Quality Training – HCMC University of Technology and Education 4.5 Apply parameters Based on the analysis of TAGUCHI and ANOVA, the authors have concluded a set of output parameters suitable for wire cutting machining, in which Pulse On Time is the most influential factor After reviewing the experimental results as well as the actual surveys during the experiment, the authors chose the following set of output parameters for machining: Pulse On Time = 10 μs, Pulse Off Time = 14 μs, Servo Voltage = 30 V and Wire Tension = 18 N Besides, with the support of MasterCam software, the author team has machined some part that are show below: Figure 4.8: Logo 60th anniversary of HCMC University of Technology and Education Figure 4.9: Logo after machining 87 Faculty for High Quality Training – HCMC University of Technology and Education In addition, the authors also support to machine the test molds for plastic materials: Figure 4.10: The mold for testing plastic materials sample Figure 4.11: The mold for testing plastic materials sample 88 Faculty for High Quality Training – HCMC University of Technology and Education CHAPTER 5: CONCLUSION AND DEVELOPMENT ORIENTATION 5.1 Conclusion After a period of implementation of the graduation project on topic “RESEARCH ON THE EFFECT OF CUTTING AND DIMENSIONAL DEVIATION DURING MACHINING QUENCHED SKD61 STEEL USING WIRE EDM” and analysis of the experimental results, the authors come to the following conclusions: − Pulse On Time is the most influential factor on Surface roughness (92.26%), Dimension deviation (66.18%) and Cutting time (39.64%) − Pulse Off Time is the second most influential factor for Surface roughness (1.88%), Dimension deviation (11.39%) and the third most influential factor for Cutting time (17.56%) − Servo Voltage is the second most influential factor for Cutting time (37.68%), third for Dimension deviation (9.15%) and the last for Surface roughness (0.92%) − Wire Tension is the third most influential factor for Surface roughness (1.17%) and the least influential factor for Dimension deviation (6.90%) and Cutting time (4.69%) By analyzing TAGUCHI method, the authors have drawn the optimal set of input parameters for each output parameter: − The optimal input parameters for Surface roughness are: Pulse On Time = μs, Pulse Off Time = 10 μs, Servo Voltage = 30 V and Wire Tension = N − The optimal input parameters for Dimensional deviation are: Pulse On Time = 10 μs, Pulse Off Time = 14 μs, Servo Voltage = 30 V and Wire Tension = 18 N − The optimal input parameters for Cutting time are: Pulse On Time = 14 μs, Pulse Off Time = 10 μs, Servo Voltage = 30 V and Wire Tension = 12 N The authors have tried to present the report in a scientific and easy-to-understand manner, thereby becoming a reference for the following students so that they can develop the project further However, due to limited time and implementation conditions, shortcomings in content and form cannot be avoided 5.2 Development Orientation The group of authors has achieved the set requirements However, due to limited implementation conditions and knowledge, the team was unable to work on other materials such as iron, cluster, etc and did not conduct machining with more complex shapes.Therefore, the authors hope that the next generation of students will overcome the above-mentioned shortcomings so that the topic can be completed in the best way possible 89 Faculty for High Quality Training – HCMC University of Technology and Education REFERENCE [1]: JOHN (2022) Wire EDM Machining for Extreme Accuracy: Explained Retrieved Dec 12th 2022, from https://mellowpine.com/cnc/wire-edm/ [2]: Phan Hùng Dũng (2008) TỐI ƯU HOÁ CÁC THÔNG SỐ CÔNG NGHỆ TRÊN MÁY CẮT DÂY EDM KHI GIA CÔNG THÉP KHÔNG GỈ (Master’s thesis, Thai Nguyen University of Industry and Technology, Thai Nguyen city) [3]: ATUL KUMAR and DR.D.K.SINGH (2012) Strategic Optimization and Investigation Effect Of Process Parameters On Performance Of Wire Electric Discharge Machine (WEDM) International Journal of Engineering Science and Technology (IJEST), Volume 4, pp 2766-2772 [4]: Manish Saini, Rahul Sharma, Abhinav, Gurupreet Singh and Prabhat Mangla (2016) OPTIMIZATIONS OF MACHINING PARAMETER IN WIRE EDM FOR 316L STAINLESS STEEL BY USING TAGUCHI METHOD, ANOVA, AND GREY ANALYSIS International Journal of Mechanical Engineering and Technology (IJMET), Volume (Issue 2), pp 307–320 [5]: Shivkant Tilekar, Sankha Shuvra and P.K.Patowari (2014) Process Parameter Optimization of Wire EDM on Aluminum and Mild Steel by Using Taguchi Method Procedia Materials Science 5, pp 2577 – 2584 [6]: Pradeep Singh, Arun Kumar Chaudhary, Tirath Singh and Amit Kumar Rana (2015) Experimental Investigation of Wire EDM to Optimize Dimensional Deviation of EN8 Steel through Taguchi’s Technique International Research Journal of Engineering and Technology (IRJET), Volume (Issue 3), pp 1753 – 1757 [7]: D.Sudhakara and G.Prasanthi (2014) OPTIMIZATION OF DIMENSIONAL DEVIATION: WIRE CUT EDM OF VANADIS- 4E (POWDER METALLURGICAL COLD WOKRED TOOLSTEEL) BY TAGUCHI METHOD Design and Research Conference (AIMTDR 2014), pp 19-1 – 19-6 [8]: AZCOM Giới thiệu cắt dây tia lửa điện - Wirecut EDM Retrieved Dec 12th 2022, from https://azcomvn.com/news/tin-tuc-ky-thuat/gioi-thieu-co-ban-ve-cat-day-tialua-dien-wirecut-edm/ [9]: Carl Sommer and Steve Sommer, M.E (2017) COMPLETE EDM HANDBOOK Advande Pub, pp 41-44 [10]: B.Lauwers, J.Vleugels, O.Malek, K.Brans and K.Liu (2012), “Machining Technology for Composite Materials”, Woodhead, pp 202-241 [11]: Micro-EDM Retrieved https://www.viteris.com/microEDM.html Dec 90 12th 2022, from Faculty for High Quality Training – HCMC University of Technology and Education [12]: EDM Drill Retrieved Dec 12th 2022, from http://punchtools.com/web_pages/tooling/drillEDM.html#:~:text=An%20EDM%20drill %20works%20by,two%20and%20erodes%20the%20workpiece [13]: ACCUTEX TEHCNOLOGIES CO., LTD, (2012) NC Programming Manual Place of publication: Taiwan [14]: B.Ghosh, I.Paul, P.Majhi, S.Panja and S.Monda (2020) Study of Machining Characteristics in WEDM of Ti Grade 12 Alloy Narula Institute of Technology, pp 1213 [15]: HPC (24/05/2018) Tìm hiểu dây đồng dùng cho máy cắt EDM Retrieved Dec 12th 2022, from http://hiepphat.com.vn/tim-hieu-ve-day-dong-dung-cho-may-cat-edm [16]: A.Kumar, V.Kumar and J.Kumar (2012) A STATE OF ART IN DEVELOPMENT OF WIRE ELECTRODES FOR HIGH PERFORMANCE WIRE CUT EDM pp 72-75 [17]: EDM Wire - Making the right choice for your business Retrieved Dec 12th 2022, from https://www.edmplus.co/articles/edm-wire/ [18]: Electrode Wire Copper: Zinc = 60:40 Type (GMWT0.25-5-N) Retrieved Dec 12th 2022, from https://vn.misumiec.com/vona2/detail/110600272360/?HissuCode=GMWT0.25-5-N [19]: SKD61 Retrieved Dec steel.com/en/product/SKD61/SKD61.html 12th 2022, from https://www.jfs- [20]: Tran, V K (2017) Phương pháp Taguchi ứng dụng tối ưu hóa chế độ cắt Tạp chí Cơ khí Việt Nam, pp 76-82 [21]: Manish Saini, Rahul Sharma, Abhinav, Gurupreet Singh, Prabhat Mangla and Er Amit Sethi (2016) OPTIMIZATIONS OF MACHINING PARAMETER IN WIRE EDM FOR 316L STAINLESS STEEL BY USING TAGUCHI METHOD, ANOVA, AND GREY ANALYSIS International Journal of Mechanical Engineering and Technology (IJMET), Volume (Issue 2), pp 307-320 [22]: Aashish, Ashok Rana (2017) Parameter Optimization of Wire EDM for EN 24 Alloy Steel” IOSR Journal of Mechanical and Civil Engineering (IOSR-JMCE), Volume 14 (Issue 2), pp 20-26 [23]: Y.S.TARNG, S.C.MA and L.K.CHUNG (1995) DETERMINATION OF OPTIMAL CUTTING PARAMETERS IN WIRE ELECTRICAL DISCHARGE MACHINING” Elsevier Science Ltd, Volume 35, pp 1693-1701 [24]: Shivkant Tilekar, Sankha Shuvra Das and P.K.Patowari (2014) Process Parameter Optimizatio of Wire EDM on Aluminum and Mild Steel by Using Taguchi Method” Elsevier Science Ltd, pp 2577-2584 91 Faculty for High Quality Training – HCMC University of Technology and Education [25]: Japanese Industrial Standards Committee, Standards Board for ISO area and Technical Committee on Metal and Inorganic Materials (2015), “JIS - JAPANESE INDUSTRIAL STANDARD”, Japanese Standards Association [26]: AISI H13 | 1.2344 | SKD61 Retrieved Dec 12th 2022, from https://www.roundbars.com/products/h13-skd61-hot-work-tool-steel/ [27]: Surface Roughness Testers - Surftest SJ - 201 Retrieved Dec 12th 2022, from https://us.misumiec.com/vona2/detail/223303665066/?CategorySpec=00000158459%3a%3aa&list=PageC ategory 92 Faculty for High Quality Training – HCMC University of Technology and Education Appendix I F – Distribution table where α = 0.05 [10] 93 Faculty for High Quality Training – HCMC University of Technology and Education Appendix II Logo 60th anniversary of HCMC University of Technology and Education % N100 G90 G54 G0 X-1 Y-53.75 N110 G92 X-1 Y-53.75 N120 M01 N170 G42 G1 X14.6246 Y-48.4502 N180 G2 X20.2769 Y-48.6785 I2.712 J2.9403 N190 G3 X46.9276 Y-42.5663 I11.5772 J10.6785 N200 G1 X47.0605 Y-42.3594 N210 X47.2822 Y-42.2533 N220 X47.5267 Y-42.2795 N230 G3 X51.3852 Y-43.1974 I4.9673 J12.3112 N240 G1 X51.5782 Y-43.2594 N250 X51.7244 Y-43.3998 N260 X51.7942 Y-43.5902 N270 X52.0589 Y-45.7124 N280 X52.1357 Y-45.9132 N290 X52.2969 Y-46.0555 N300 X52.5058 Y-46.1067 N310 G3 X55.1898 Y-45.88 I-.0118 J16.1385 N320 G1 X55.3965 Y-45.7871 N330 X55.5317 Y-45.6053 N340 X55.5611 Y-45.3806 N350 X55.3087 Y-43.3565 N360 X55.3342 Y-43.1419 N370 X55.4568 Y-42.9639 N380 X55.6483 Y-42.8636 N390 G3 X58.7839 Y-41.6592 J12.8952 N400 G1 X58.9929 Y-41.6055 N410 X59.2028 Y-41.6553 N420 X59.3655 Y-41.7971 N430 X60.5381 Y-43.4689 N440 X60.7104 Y-43.6156 N450 X60.9324 Y-43.6598 N460 X61.1478 Y-43.5903 N470 G3 X63.3866 Y-41.8762 J13.6221 N480 G1 X63.5057 Y-41.6982 N490 X63.5291 Y-41.4854 N500 X63.4513 Y-41.2858 N510 X62.2187 Y-39.5283 N520 X62.1428 Y-39.3414 N530 X62.1562 Y-39.1401 N540 X62.2562 Y-38.965 N550 G3 X64.104 Y-36.4063 J8.9967 N560 G1 X64.2478 Y-36.2502 N570 X64.4472 Y-36.1774 N580 X64.6578 Y-36.2041 N590 X66.5887 Y-36.9402 N600 X66.8106 Y-36.9655 N610 X67.0173 Y-36.881 N620 X67.1579 Y-36.7076 N630 G3 X68.0877 Y-34.1258 J6.7394 N640 G1 X68.0912 Y-33.9079 94 I-3.1542 I-8.6538 I-9.7622 I-14.664 Faculty for High Quality Training – HCMC University of Technology and Education (cont) N650 X67.992 Y-33.714 N660 X67.8132 Y-33.5894 N670 X65.8392 Y-32.8368 N680 X65.6686 Y-32.7213 N690 X65.5673 Y-32.5418 N700 X65.5567 Y-32.3361 N710 G3 X65.747 Y-29.1945 I-13.0626 J2.3678 N720 G1 X65.7821 Y-28.9922 N730 X65.9035 Y-28.8265 N740 X66.0858 Y-28.732 N750 X68.139 Y-28.212 N760 X68.3305 Y-28.1094 N770 X68.4516 Y-27.929 N780 X68.4741 Y-27.7129 N790 G3 X67.8307 Y-24.9447 I-15.9799 J-2.2553 N800 G1 X67.7109 Y-24.7566 N810 X67.5156 Y-24.6491 N820 X67.2926 Y-24.6486 N830 X65.2871 Y-25.1565 N840 X65.0752 Y-25.1587 N850 X64.8857 Y-25.0636 N860 X64.7609 Y-24.8923 N870 G3 X63.1813 Y-22.0929 I-12.2669 J-5.0759 N880 G1 X63.1004 Y-21.904 N890 X63.1119 Y-21.6989 N900 X63.2133 Y-21.5203 N910 X64.6513 Y-19.9661 N920 X64.756 Y-19.7757 N930 X64.7592 Y-19.5583 N940 X64.6602 Y-19.3648 N950 G3 X62.6782 Y-17.449 I-12.1663 J-10.6036 N960 G1 X62.4751 Y-17.3554 N970 X62.2519 Y-17.3712 N980 X62.064 Y-17.4925 N990 X60.6629 Y-19.0068 N1000 X60.4856 Y-19.1243 N1010 X60.274 Y-19.1473 N1020 X60.0756 Y-19.0705 N1030 G3 X57.2506 Y-17.5741 I-7.5817 J-10.8979 N1040 G1 X57.0783 Y-17.4561 N1050 X56.9779 Y-17.2729 N1060 X56.9709 Y-17.0642 N1070 X57.3883 Y-15.015 N1080 X57.3781 Y-14.7949 N1090 X57.2646 Y-14.606 N1100 X57.0751 Y-14.4937 N1110 G3 X54.4057 Y-13.9434 I-4.5811 J-15.4748 N1120 G1 X54.1866 Y-13.9719 N1130 X54.0074 Y-14.1014 N1140 X53.9115 Y-14.3005 N1150 X53.4953 Y-16.3439 N1160 X53.4067 Y-16.534 N1170 X53.2417 Y-16.6633 N1180 X53.036 Y-16.7038 N1190 G3 X49.7605 Y-16.9772 I-.542 J13.2645 N1200 G1 X49.5573 Y-16.973 N1210 X49.3766 Y-16.8799 N1220 X49.2554 Y-16.7168 N1230 X48.4017 Y-14.7605 N1240 X48.2708 Y-14.5894 N1250 X48.0753 Y-14.4988 N1260 X47.8601 Y-14.5094 N1270 G3 X46.2646 Y-15.0805 I4.6337 J-15.4583 N1280 G1 X46.0688 Y-15.2388 N1290 X45.9887 Y-15.4775 N1300 G2 X45.6376 Y-19.3742 I38.4641 J1.5016 N1310 X44.6515 Y-23.2971 I-20.2019 J2.9927 N1320 X43.028 Y-26.4178 I-13.0891 J4.8268 N1330 G1 X42.8963 Y-26.5229 N1340 X42.7288 Y-26.5405 N1350 G2 X42.2485 Y-26.1178 I.4932 J1.0446 N1360 G1 X42.2344 Y-25.9706 N1370 X42.2922 Y-25.8345 N1380 G3 X43.8219 Y-23.0629 I-8.8091 J6.6697 N1390 X44.7238 Y-19.4993 I-15.0939 J5.716 N1400 X45.0436 Y-15.7888 I-33.5657 J4.7619 95 Faculty for High Quality Training – HCMC University of Technology and Education (cont) N1410 G1 X45.0042 Y-15.6273 N1420 X44.8847 Y-15.5115 N1430 X44.722 Y-15.4771 N1440 G3 X44.2602 Y-15.7552 I.2694 J.9699 N1450 G2 X40.4813 Y-17.8802 I-12.519 J17.8404 N1460 X36.6688 Y-19.3392 I-17.3423 J39.6071 N1470 G3 X30.6478 Y-21.4485 I46.1652 J-141.4254 N1480 X25.2796 Y-23.6878 I30.2892 J80.1633 N1490 X17.1586 Y-32.3338 I6.5745 J14.3122 N1500 G1 X17.046 Y-32.626 N1510 X16.9002 Y-32.2798 N1520 X16.8696 Y-32.2049 N1530 X16.8411 Y-32.1331 N1540 X16.8145 Y-32.0639 N1550 X16.7896 Y-31.997 N1560 X16.7664 Y-31.9322 N1570 X16.7448 Y-31.8693 N1580 X16.7246 Y-31.8082 N1590 X16.7057 Y-31.7486 N1600 X16.6882 Y-31.6904 N1610 X16.6719 Y-31.6337 N1620 X16.6568 Y-31.5782 N1630 X16.6429 Y-31.5238 N1640 X16.6301 Y-31.4706 N1650 X16.6184 Y-31.4184 N1660 X16.6077 Y-31.3672 N1670 X16.598 Y-31.317 N1680 X16.5893 Y-31.2676 N1690 X16.5816 Y-31.219 N1700 X16.5748 Y-31.1713 N1710 X16.569 Y-31.1242 N1720 X16.564 Y-31.0779 N1730 X16.5599 Y-31.0323 N1740 X16.5567 Y-30.9873 N1750 X16.5543 Y-30.943 N1760 X16.5528 Y-30.8992 N1770 X16.5521 Y-30.856 N1780 X16.5522 Y-30.8134 N1790 X16.5531 Y-30.7712 N1800 X16.5548 Y-30.7296 N1810 X16.5573 Y-30.6884 N1820 X16.5606 Y-30.6477 N1830 X16.5646 Y-30.6074 N1840 X16.5694 Y-30.5675 N1850 X16.575 Y-30.528 N1860 X16.5813 Y-30.4889 N1870 X16.5835 Y-30.4763 N1880 X16.5889 Y-30.4473 N1890 X16.5969 Y-30.4084 N1900 X16.6057 Y-30.3691 N1910 X16.6155 Y-30.3294 N1920 X16.6262 Y-30.2893 N1930 X16.6378 Y-30.2487 N1940 X16.6505 Y-30.2076 N1950 X16.6641 Y-30.166 N1960 X16.6787 Y-30.1238 N1970 X16.6943 Y-30.0811 N1980 X16.7111 Y-30.0377 N1990 X16.729 Y-29.9936 N2000 X16.748 Y-29.9487 N2010 X16.7682 Y-29.9031 N2020 X16.7897 Y-29.8566 N2030 X16.8125 Y-29.8092 N2040 X16.8366 Y-29.7607 N2050 X16.8622 Y-29.7112 N2060 X16.8893 Y-29.6604 N2070 X16.918 Y-29.6083 N2080 X16.9485 Y-29.5547 N2090 X16.9808 Y-29.4995 N2100 X17.0151 Y-29.4423 N2110 X17.0516 Y-29.383 N2120 X17.0907 Y-29.3211 N2130 X17.1325 Y-29.2562 N2140 X17.1776 Y-29.1877 N2150 X17.2267 Y-29.1146 N2160 X17.2807 Y-29.0354 N2170 X17.3416 Y-28.9477 N2180 X17.4128 Y-28.8461 N2190 X17.5049 Y-28.7162 N2200 X17.5261 Y-28.6864 N2210 G2 X20.4004 Y-25.4727 I11.2122 J-7.1361 N2220 X23.9755 Y-23.1395 I13.3286 J16.5171 N2230 X29.4241 Y-20.7218 I20.3018 J38.4043 96 Faculty for High Quality Training – HCMC University of Technology and Education (cont) N2240 X35.6953 Y-18.4447 I466.6181 J1275.3171 N2250 G3 X39.6525 Y-16.795 I-17.5732 J47.723 N2260 X44.0384 Y-14.2308 I-11.6456 J24.9528 N2270 X50.5593 Y-7.1306 I-13.8938 J19.3046 N2280 X52.7255 Y-2.5802 I-22.1765 J13.3477 N2290 G1 X52.7288 Y-2.3858 N2300 X52.6122 Y-2.2301 N2310 X52.4247 Y-2.1787 N2320 X52.245 Y-2.2531 N2330 G2 X47.2936 Y-5.5131 I-14.523 J16.6673 N2340 X42.282 Y-7.4915 I-15.5542 J32.0663 N2350 X35.5893 Y-9.3923 I-40.8224 J130.9964 N2360 G3 X28.8191 Y-11.3172 I45.4628 J-172.7666 N2370 X25.3145 Y-12.5701 I12.119 J39.4286 N2380 X21.4308 Y-14.6019 I8.9124 J21.7633 N2390 X18.5301 Y-17.0175 I9.1993 J13.9963 N2400 X16.4397 Y-19.9581 I9.2618 J8.7974 N2410 G1 X16.0331 Y-20.8668 N2420 X15.958 Y-20.9474 N2430 X15.8481 Y-20.955 N2440 X15.7627 Y-20.8855 N2450 X15.7478 Y-20.7763 N2460 G2 X17.3789 Y-17.0697 I10.9989 J-2.6279 N2470 X19.3131 Y-15.027 I7.2593 J4.9365 N2480 G1 X20.0749 Y-14.5174 N2490 X20.1962 Y-14.3824 N2500 X20.2175 Y-14.2022 N2510 X20.131 Y-14.0426 N2520 G3 X12.9811 Y-10.7286 I-8.5223 J-9.0167 N2530 X9.8548 Y-10.8919 I-1.0339 J10.211 N2540 X6.9865 Y-12.0043 I2.3833 J10.4003 N2550 X3.8768 Y-14.2082 I8.6087 J15.4424 N2560 X1.8058 Y-16.1624 I22.6163 J26.0428 N2570 G1 X1.7199 Y-16.3597 N2580 X1.7883 Y-16.5638 N2590 X1.9758 Y-16.6696 N2600 G2 X4.262 Y-17.7274 I-.7594 J4.6408 N2610 X5.3981 Y-18.9191 I-4.722 J5.6391 N2620 X7.0784 Y-21.8833 I-10.5406 J7.9331 N2630 X8.4804 Y-25.4606 I-93.3848 J38.6635 N2640 G3 X10.1975 Y-29.1021 I38.6796 J16.0136 N2650 X13.471 Y-34.7009 I50.9815 J26.0511 N2660 X15.6972 Y-37.6506 I28.7098 J19.3531 N2670 G2 X16.121 Y-38.7297 I-1.3743 J-1.1625 N2680 G3 X20.2769 Y-48.6785 I15.7331 J.7297 N2690 X22.508 Y-50.6773 I11.5772 J10.6785 N2700 G2 X23.354 Y-56.2705 I-2.3737 J-3.2196 N2710 G40 G1 X22.9765 Y-56.5984 N2720 M01 N2740 G90 G54 G0 X31.8541 Y-38 N2741 G92 X31.8541 Y-38 N2742 M01 N2790 G41 G1 X28.8541 Y-46.7639 N2800 G3 X31.8541 Y-49.7639 I3 J0 N2810 X35.228 Y-49.2697 I0 J11.7639 N2820 X38.879 Y-47.4361 I-3.3739 J11.2697 N2830 X26.5745 Y-27.4875 I-7.0249 J9.4361 97 Faculty for High Quality Training – HCMC University of Technology and Education (cont) N2840 X31.8541 Y-49.7639 I5.2796 J10.5125 N2850 X34.8217 Y-49.3834 I0 J11.7639 N2860 X36.9679 Y-45.7236 I-.7568 J2.903 N2870 G40 G1 X36.5316 Y-45.4794 N2880 M01 N2900 G90 G54 G0 X52.4938 Y29.9677 N2901 G92 X52.4938 Y-29.9677 N2950 G41 G1 X49.4939 Y-35.3346 N2960 G3 X52.4938 Y-38.3347 I3 J.0001 N2970 X60.8605 Y-29.9683 I.0002 J8.3664 N2980 X60.1678 Y-26.6351 I-8.3665 J0 N2990 X44.3026 Y-31.6705 I-7.6738 J3.3332 N3000 X52.4938 Y-38.3347 I8.1914 J1.7022 N3010 X55.43 Y-37.8026 I.0002 J8.3664 N3020 X57.1864 Y-33.9407 I-1.0528 J2.8092 N3030 G40 G1 X56.6865 Y-33.9321 N3040 M02 % 98 Faculty for High Quality Training – HCMC University of Technology and Education Appendix III Logo of Liverpool FC 99 S K L 0