Optimum Shape Design of Axisymmetric Extrusion Die by using Hybrid Meta-Heuristic Optimization (ICACO)

Authors

1 1Mechanical Engineering Department, University of Birjand, Birjand, Iran 2Mechanical Engineering Department, Bozorgmehr University of Qaenat,, Qaen, Iran

2 Department of Mechanical Engineering, Gorgan branch, Islamic Azad University, Gorgan, Iran

Abstract

The present study investigates the optimal design of the die shape in the metal forming process using extrusion. Due to the large deformations that occur during the forming process and the resulting entry into the plastic deformation zone, the finite element method is used to analyze the problem in this area, and the modeling is performed in the Eulerian system. The objective function of this study is to minimize the total energy required for deformation in the extrusion process. The design variable is the die shape, and spline curves with multiple control points are used to generate the die shape. Due to the nonlinear nature of the forming problem, the complexity, and the large amount of computation required during the analysis, a powerful combination of two metaheuristic optimization methods, the Imperialist Competitive Algorithm and Ant Colony Algorithm (ICACO), has been inspired for the optimal design of the die shape. To validate the obtained results for the die geometry, they are compared with the results presented in previous studies, The error was less than 2%, showing a good agreement. The results obtained have led to a significant reduction in the total energy consumption during deformation by approximately 12% compared to the conventional linear mode.

Keywords

Main Subjects


[1] قدوسیان ع، شیخی ازغندی م، (1393) روش­های بهینه­سازی فرا ابتکاری در مهندسی، انتشارات دانشگاه سمنان.
[2] Sheikhi Azqandi M, (2021) A Novel Hybrid Genetic Modified Colliding Bodies Optimization for Designing of Composite Laminates, Mech Adv Comp Struct 8: 203 – 212.
 [3] Michael C, Phillipp L, Paul S (2020) Shape Optimization of a Backward Extrusion Process Using a Non-Invasive Form Finding Algorithm. Procedia Manufacturing 47: 873–880.
[4] Sheikhi Azqandi, M, Nooredin N, Ghoddosian A (2018) Optimization of spring back in U-die bending process of sheet metal using ANN and ICA. Struct Eng Mech 65(4) 447-452.
[5] Bonte MHA, Van den B, Huétink J (2008) An optimisation strategy for industrial metal forming processes. Structural and Multidisciplinary Optimization. 35: 571–86.
[6] Summers JW, Brown RJ (1981) Practicle principles of die design - a simplified procedure, in table form, for rigid PVC, J. Vinyl Technol. 3: 215–218.
[7] Pittman JFT (2011) Computer-aided design and optimization of profile extrusion dies for thermoplastics and rubber: a review. J Process Mech Eng 225: 280–321.
[8] Behr M, Michaeli W, Elgeti S, Nicolai M, Probst M, Fink B, Windeck C (2009)  Towards shape optimization of extrusion dies using finite elements. J Plast Technol 5: 411–427.
[9] Elgeti S, Probst M, Windeck C, Behr M, Michaeli W, Hopmann C, (2012) Numerical shape optimization as an approach to extrusion die design. Finite Elem Anal Des 61: 35–43.
[10] Lee SK, Ko DC, Kim BM (2000) Optimal die profile design for uniform microstructure in hot extrusion product. Int J Mach Tool Manuf. 40: 1457–1478.
[11] Ulysse P (2002) Extrusion die design for flow balance using FE and optimization methods, Int J of Mecha Sci 44: 319–341.
[12] Yan H, Xia J (2006) An approach to the optimal design of technological parameters in the profile extrusion process. Sci Tech Adv Mat. 7: 127–131.
[13] Gordona WA, Van Tyneb CJ, Moon YH (2007) Axisymmetric extrusion through adaptive dies- Part 3: Minimum pressure streamlined die shapes, Int J Mech Sci 49: 104-115.
[14] Bakhshi-Jooybari M, Saboori M, Noorani-Azad M, Hosseinipour SJ (2007) Combined upper bound and slab method, finite element and experimental study of optimal die profile in extrusion, Mat Des, 28: 1812-1818.
[15] بیرانوند م، حقیقت ح (1396) یک مدل تغییر شکل جدید برای فرآیند اکستروژن لوله­های دو فلزی، نشریه مهندسی مکانیک امیرکبیر، 49 (4): 819-828.
[16] Giarmas E, Tzetzis D (2022) Optimization of die design for extrusion of 6xxx series aluminum alloys through finite element analysis: a critical review. Int J Adv Manufac Tech 119: 5529–5551.
[17] Spanjaards MMA, Hulsen MA, Anderson PD, (2021) Die shape optimization for extrudate swell using feedback control, Journal of Non-Newtonian Fluid Mechanics 293 104552.
[18] Dixit PM, Dixit US (2008) Modeling of Metal Forming and Machining Processes, Springer, London,.
[19] Altan T, Oh SI, Gegel HL (1983) Metal Forming Ð Fundamentals and Applications, American Society of Metals, Cleveland, OH.
[20] Young WK, Hyochoong B (2018) The Finite Element Method Using MATLAB, CRC Press.
[21] R. V. Dukkipati, (2018) Applied Numerical Methods with MatLab, McGraw-Hill Education.
[22] قدوسیان ع، اسکندر ه، شیخی ازغندی م (1392) طراحی بهینه ی مخازن جدار نازک با استفاده از الگوریتم رقابت استعماری، نشریه علوم کاربردی و محاسباتی در مکانیک. 25(1): 125-134.
[23] Arjmand M, Sheikhi Azqandi M, Delavar M (2018) Hybrid improved dolphin echolocation and ant colony optimization for optimal discrete sizing of truss structure, J Rehab Civ Eng 6(1): 70-87.
[24] شیخی ازغندی م، صفایی­فر ح (1401) بهینه­سازی عملکرد میراگر غیرخطی ضربه­ای صلب سه جرمی در ارتعاشات آزاد با روش ترکیبی فراکاوشی، مجله مهندسی مکانیک تبریز.  52 (3): 95-103.
[25] Ghoddosian A, Sheikhi Azqandi M, (2013) A Hybrid Imperialist Competitive Ant Colony Algorithm for Optimum Geometry Design of Frame Structures. Struct Eng Mech 46(3): 403-416.
[26] Safaeifar H, Sheikhi Azqandi M (2021) Optimal design of the impact damper in free vibrations of SDOF system using ICACO. Int J Opti Civ Eng 11(3): 461-479.
[27] Hosford W. F., Caddell R. M (2007) . Metal forming: mechanics and metallurgy‎, Cambridge University Press.