بررسی پارامترهای فرایند کشش عمیق هیدرودینامیکی با فشار شعاعی با استفاده از روش‌های تاگوچی و اجزا محدود

نوع مقاله : مقاله پژوهشی

نویسندگان

1 استادیار، دانشکده مهندسی مکانیک، دانشگاه صنعتی سیرجان، سیرجان، ایران

2 استادیار، دانشکده مهندسی مکانیک، دانشگاه کاشان، کاشان، ایران

3 استادیار، دانشکده مهندسی مکانیک، دانشگاه سمنان، سمنان، ایران

4 کارشناس ارشد، گروه ساخت و تولید، دانشکده مهندسی مکانیک، دانشگاه تربیت مدرس، تهران، ایران

چکیده

یکی از اهداف اصلی در تولید محصولات ورقی با استفاده فرایند هیدروفرمینگ، دستیابی به کمترین نازک‌شدگی و نیروی شکل‌دهی لازم می‌باشد. در این مقاله، با استفاده از روش طراحی آزمایش و تحلیل اجزای محدود، فرایند شکل‌دهی ورق مسی با روش کشش عمیق هیدرودینامیکی با فشار شعاعی مورد بررسی قرار گرفته است. ابتدا با استفاده از طراحی آزمایش به روش تاگوچی، آزمایش‌های لازم طراحی شده است. در این طراحی، فشار بیشینۀ سیال، سرعت سنبه، ضریب اصطکاک سنبه با ورق، ضریب اصطکاک قالب با ورق، فاصله بین ورق‌گیر و ماتریس، شعاع گوشۀ سنبه، شعاع گوشۀ ماتریس و فشار پیش‌بشکه‌ای به‌عنوان متغیرهای ورودی و نسبت نازک‌شدگی و نیروی سنبه، به‌عنوان توابع پاسخ در نظر گرفته شدند. در ادامه با استفاده از روش اجزای محدود، آزمایش‌های طراحی شده به کمک مدل اجزای محدود صحت‌سنجی شده اجرا و خروجی‌های مورد نظر استخراج شدند. در پایان با انجام بهینه‌سازی به روش تاگوچی، سطوح بهینه پارامترهای ورودی به دست آمده و سپس آزمایش‌های تائیدی با استفاده از شبیه‌سازی اجزای محدود انجام شدند. نتایج نشان می‌دهد که پارامترهای شعاع گوشۀ سنبه و شعاع گوشۀ ماتریس، مهم‌ترین پارامترها برای تابع پاسخ نازک‌شدگی هستند. همچنین فشار بیشینۀ سیال، تأثیرگذارترین پارامتر بر نیروی سنبه می‌باشد.

کلیدواژه‌ها

عنوان مقاله [English]

Investigation of process parameters of the hydrodynamic deep drawing assisted by radial pressure using Taguchi and finite element methods

نویسندگان [English]

  • Vahid Modanloo 1
  • Hossein Talebi-Ghadikolaee 2
  • Behnam Akhoundi 1
  • Ahmad Mashayekhi 1
  • Farzad Ahmadi Khatir 3
  • Ali Zeinolabedin Beygi 4
1 Mechanical Engineering Department, Sirjan University of Technology, Sirjan, Iran
2 Faculty of Mechanical Engineering, University of Kashan, Kashan, Iran
3 Faculty of Mechanical Engineering, Semnan University, Semnan, Iran
4 Department of Mechanical Engineering, Tarbiat Modares University, Tehran, Iran
چکیده [English]

Achieving the minimum thinning and required forming force is one of the main purposes in the manufacturing of sheet products using the hydroforming process. This paper investigates forming of the copper sheet using the hydrodynamic deep drawing assisted by radial pressure via the design of experiment method and finite element (FE) analysis. Firstly, the necessary experiments have been designed using the Taguchi design of experiment method. In this design, maximum fluid pressure, punch velocity, the friction coefficient between punch and sheet, the friction coefficient between die and sheet, the gap between blankholder and die, punch nose radius, die entrance radius, and prebulge pressure were considered as input variables and thinning ratio and punch force considered as response functions. Then, designed experiments were performed using an experimental verified FE model and the desired results were obtained. Finally, the optimum levels of input variables were obtained using the Taguchi optimization method and the confirmation experiments were performed using the FE simulation. Results show that the punch nose radius and die entrance radius are the essential parameters on the thinning ratio. Also, the maximum fluid pressure is the most effective parameter on the punch force.

کلیدواژه‌ها [English]

  • Hydrodynamic Deep Drawing
  • Radial Pressure
  • Optimization
  • Taguchi Method
  • Finite Element

مراجع

[1] V. Modanloo, H. Talebi-Ghadikolaee, V. Alimirzaloo, M. Elyasi, Fracture prediction in the stamping of titanium bipolar plate for PEM fuel cells, International Journal of Hydrogen Energy, vol. 46, no. 7, pp. 5729-5739, 2021. https://doi.org/10.1016/j.ijhydene.2020.11.088
[2] M. Elyasi, Force parameters and experimental characterisation in fine-blanking process, Advances in Materials and Processing Technologies, vol. 1, no. 1-2, pp. 234-242, 2015. https://doi.org/10.1080/2374068X.2015.1121707
[3] H. Deilami Azodi, A. Hassani, S. Mazdak, A. Zeinolabedin Beygi, E. Sherkatghanad, Numerical Study on Weld Line Displacement in Rubber Pad Forming of Tailor Welded Blanks, Karafan Quarterly Scientific Journal, vol. 19, no. 1, pp. 145-164, 2022. https://doi.org/10.48301/KSSA.2022.341267.2096 (in Persian)
[4] M. Afrasiab, Y. Hojjat, G. Faraji, H. Moslemi Naeini, Formability enhancement of ultrafine-grained pure copper sheets produced by accumulative roll bonding aided by electromagnetic forming, The International Journal of Advanced Manufacturing Technology, vol. 120, no. 11-12, pp. 7445-7459, 2022. https://doi.org/10.1007/s00170-022-09197-x
[5] S. Mazdak, M. R. Sheykholeslami, M. Gholami, H. Parvaz, M. M. Najafizadeh, S. Mahmoudi, A. Vanaki, A statistical model for estimation of bending angle in laser bending of two-layer steel-aluminum sheets, Optics & Laser Technology, vol. 157, pp. 108575, 2023. https://doi.org/10.1016/j.optlastec.2022.108575
[6] H. Talebi-Ghadikolaee, H. Moslemi Naeini, A. H. Rabiee, A. Zeinolabedin Beygi, S. Alexandrov, Experimental-numerical analysis of ductile damage modeling of aluminum alloy using a hybrid approach: ductile fracture criteria and adaptive neural-fuzzy system (ANFIS), International Journal of Modelling and Simulation, pp. 1-16, 2022. https://doi.org/10.1080/02286203.2022.2121675
[7] M. S. Zeinali, H. Moslemi Naeini, H. Talebi-Ghadikolaee, V. Panahizadeh, Numerical and experimental investigation of fracture in roll forming process using Lou–Huh fracture criterion, Arabian Journal for Science and Engineering, vol. 47, no. 12, pp. 15591-15602, 2022. https://doi.org/10.1007/s13369-022-06662-3
[8] V. Panahizadeh, Y. Dadgar Asl, F. Saeidi, S. Afshin, Numerical and Experimental Analysis of Spring-back Defect in Flexible Roll Forming Process using Anisotropic Yield Criteria, Journal of Solid and Fluid Mechanics, vol. 11, no. 4, pp. 93-105, 2021. https://doi.org/10.22044/JSFM.2021.10554.3343 (in Persian)
[9] V. Modanloo, B. Akhoundi, A. Mashayekhi, H. Talebi Ghadikolaee, A. Zeinolabedin Beygi, The study of forming of steel cups using hydrodynamic deep drawing process, Iranian Journal of Manufacturing Engineering, Vol. 9, No. 8, pp. 56- 64, 2022. https://doi.org/10.22034/IJME.2023.385634.1748 (in Persian)
[10] S. Hajiahmadi, M. Elyasi, M. Shakeri, Evaluation of drawing force by a new dimensionless method in deep drawing process, Proceedings of the Institution of Mechanical Engineers, Part B: Journal of Engineering Manufacture, vol. 234, no. 13, pp. 1604-1614, 2020. https://doi.org/10.1177/0954405420929770
[11] S. Hajiahmadi, M. Elyasi, M. Shakeri, Investigation of a new methodology for the prediction of drawing force in deep drawing process with respect to dimensionless analysis, International Journal of Mechanical and Materials Engineering, vol. 14, no. 1, pp. 1-13, 2019. https://doi.org/10.1186/s40712-019-0110-9
[12] S. Hajiahmadi, M. Elyasi, M. Shakeri, Development a new methodology for measuring deep drawing forces based on dimensionless evaluation, Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science, vol. 235, no. 19, pp. 4057-4069, 2021. https://doi.org/10.1177/0954406220969718
[13] Y. Gholiyan, M. Elyasi, M. J. Mirnia, Study of fluid pressure on formability of metal sheets by using fixed and pulsating sheet hydroforming method, Iranian journal of Marine technology, vol. 8, no. 1, pp. 23-29, 2021. (in Persian)
[14] S. M. Hejazi Alhossini, M. Elyasi, M. J. Mirnia, Effect of heat treatment on formability of AA6061 aluminum alloy in the sheet hydroforming process, Iranian journal of Marine technology, vol. 7, no. 3, pp. 39-50, 2020. (in Persian)
[15] H. Deilami Azodi, S. Rezaee, H. Badparva, A. Zeinolabedin Beygi, Optimizing AA3105-St12 two-layer sheet in incremental sheet forming process using neural network and multi-objective genetic algorithm, Modares Mechanical Engineering, vol. 22, no. 2, pp. 121-132, 2022. (in Persian)
[16] V. Tahmasbi, A. Zeinolabedin-Beygi, S. H. Elahi, M. A. Ashtiani, Statistical modeling, optimization and sensitivity analysis of dried turning of aluminum bronze alloy, Sādhanā, vol. 47, no. 4, pp. 232, 2022. https://doi.org/10.1007/s12046-022-01955-7
[17] M. Elyasi, M. Hossinzade, Design of experiment approach to the study of parameters in the new die set tube hydroforming, AIP Conference Proceedings, vol. 1383, no. 1, pp. 669-674, 2011. https://doi.org/10.1063/1.3623671
[18] A. H. Rabiee, E. Sherkatghanad, A. Zeinolabedin Beygi, H. Moslemi Naeini, L. Lang, Experimental investigation and modeling of fiber metal laminates hydroforming process by GWO optimized neuro-fuzzy network, Journal of Computational & Applied Research in Mechanical Engineering (JCARME), vol. 12, no. 2, pp. 193-209, 2023. https://doi.org/10.22061/jcarme.2022.8268.2101
[19] E. Sherkatghanad, H. Moslemi Naeini, A. H. Rabiee, A. Zeinolabedin Beygi, V. Zal, L. Lang, Modeling and predicting the important properties of the PVC/glass fiber composite laminates in the production process by the TLBO-ANFIS approach, Iranian Journal of Materials Forming, vol. 8, no. 4, pp. 63-75, 2021. https://doi.org/10.22099/IJMF.2021.41242.1190
[20] M. Salamat-Talab, V. Tahmasbi, M. Safari, A. Zeinolabedin Beygi, Mathematical Modeling, Sobol Sensitivity Analysis and Optimization of Main Parameters in Drilling of E-glass/epoxy Laminated Composites, Iranian Journal of Manufacturing Engineering, vol. 8, no. 11, pp. 43-53, 2022. (in Persian)
[21] V. Modanloo, A. Gorji, M. Bakhshi-Jooybari, A comprehensive thinning analysis for hydrodynamic deep drawing assisted by radial pressure, Iranian Journal of Science and Technology, Transactions of Mechanical Engineering, vol. 43, pp. 487-494, 2019. https://doi.org/10.1007/s40997-018-0221-6
[22] V. Alimirzaloo, V. Modanloo, Minimization of the sheet thinning in hydraulic deep drawing process using response surface methodology and finite element method, International Journal of Engineering, Vol. 29, No. 2, pp. 264-273, 2016.
[23] V. Modanloo, A. Gorji, M. Bakhshi-Jooybari, Effects of forming media on hydrodynamic deep drawing, Journal of Mechanical Science and Technology, vol. 30, pp. 2237-2242, 2016. https://doi.org/10.1007/s12206-016-0433-x
[24] R. Teimouri, H. Ashrafi, Optimization of hydroforming process for deep drawing of AA7075 using finite element simulation and response surface methodology, Transactions of the Indian Institute of Metals, vol. 70, pp. 2265-2275, 2017. https://doi.org/10.1007/s12666-017-1083-0
[25] V. Modanloo, A. Doniavi, R. Hasanzadeh, Application of multi criteria decision making methods to select sheet hydroforming process parameters, Decision Science Letters, Vol. 5, No. 3, pp. 349-360, 2016. https://doi.org/10.5267/j.dsl.2016.2.005
[26] T. Intarakumthornchai, S. Jirathearant, S. Thongprasert, P. Dechaumphai, FEA-based optimization of blank holder force and pressure for hydromechanical deep drawing of parabolic cup using greedy search and RSM methods, Engineering Journal, vol. 14, no. 2, pp. 15-32, 2010. https://doi.org/10.4186/ej.2010.14.2.15
[27] M. Safari, J. Joudaki, Y. Ghadiri, A comprehensive study of the hydroforming process of metallic bellows: investigation and multi-objective optimization of the process parameters, International Journal of Engineering, vol. 32, no. 11, pp. 1681-1688, 2019. https://doi.org/10.5829/IJE.2019.32.11B.19
[28] S. Alavi Hashemi, S. Seyedkashi, Investigation on improvement of limit drawing ratio in two-stage hydrodynamic deep drawing of cylindrical cups, Journal of the Brazilian Society of Mechanical Sciences and Engineering, vol. 44, no. 10, pp. 456, 2022. https://doi.org/10.1007/s40430-022-03760-z
[29] S. H. Alavi Hashemi, S. M. H. Seyedkashi, Investigation of consecutive two-stage hydrodynamic deep drawing of aluminum cylindrical cups, Proceedings of the Institution of Mechanical Engineers, Part B: Journal of Engineering Manufacture, vol. 236, no. 6-7, pp. 920-931, 2022. https://doi.org/10.1177/09544054211062296
[30] M. Khademi, H. Gorji, M. Bakhshi-Jooybari, Effects of material and process parameters on wrinkling of conical parts in modified hydroforming process, The International Journal of Advanced Manufacturing Technology, vol. 116, pp. 259-279, 2021. https://doi.org/10.1007/s00170-021-07413-8
[31] R. Ghasemi, M. Elyasi, H. Baseri, M. J. Mirnia, Microstructural analysis of sheet hydroforming process assisted by radial ultrasonic punch vibration in a hydro-mechanical deep drawing die, The International Journal of Advanced Manufacturing Technology, pp. 1-10, 2023. https://doi.org/10.1007/s00170-023-11007-x
[32] Z. Zhang, F. Xu, X. Sun, Optimization of process parameters during hydroforming of tank bottom using NSGA-III algorithm, The International Journal of Advanced Manufacturing Technology, vol. 119, no. 5-6, pp. 4043-4055, 2022. https://doi.org/10.1007/s00170-021-08057-4
[33] A. Yaghoobi, H. Baseri, M. Bakhshi-Jooybari, A. Gorji, Pressure path optimization of hydrodynamic deep drawing of cylindrical-conical parts, International Journal of Precision Engineering and Manufacturing, vol. 14, pp. 2095-2100, 2013. https://doi.org/10.1007/s12541-013-0284-7
[34] M. Moradian, A. Doniavi, V. Modanloo, V. Alimirzaloo, Process parameters optimization in gas blow forming of pin-type metal bipolar plates using Taguchi and finite element methods, International Journal of Advanced Design and Manufacturing Technology, vol. 2, no. 10, pp. 102-108, 2017.
[35] V. Modanloo, R. Hasanzadeh, P. Esmaili, The study of deep drawing of brass-steel laminated sheet composite using taguchi method, International Journal of Engineering, Vol. 29, No. 1, pp. 103-108, 2016. https://doi.org/10.5829/idosi.ije.2016.29.01a.14
[36] D. C. Montgomery, Design and analysis of experiments: John wiley & sons, 2017.
[37] V. Alimirzaloo, V. Modanloo, E. Babazadeh Asbagh, Experimental investigation of the effect of process parameters on the surface roughness in finishing process of chrome coated printing cylinders, International Journal of Engineering, Vol. 29, No. 12, pp. 1775-1782, 2016. https://doi.org/10.5829/idosi.ije.2016.29.12c.17
[38] V. Modanloo, V. Alimirzaloo, M. Elyasi, Manufacturing of titanium bipolar plates using warm stamping process, Arabian Journal for Science and Engineering, Vol. 45, pp. 9661-9667, 2020. https://doi.org/10.1007/s13369-020-04870-3
[39] V. Modanloo, V. Alimirzaloo, Investigation of the forming force in torsion extrusion process of aluminum alloy 1050, International Journal of Engineering, Vol. 30, No. 6, pp. 920-925, 2017. https://doi.org/10.5829/ije.2017.30.06c.13

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