Multi-Objective Optimization of the Forming Process Parameters of Disc Forgings Based on Grey Correlation Analysis and the Response Surface Method
Source abstract
Abstract
This paper introduces a multi-objective optimization problem (MPO) for the forming process parameters of disc forgings using grey relational analysis (GRA) and the response surface methodology (RSM). Firstly, an experimental design based on the Box–Behnken design (BBD) principle was established, and simulations were performed in Deform to obtain response data. Secondly, GRA was used to transform the MPO into a grey relational degree (GRD) problem, and the entropic weight method was integrated to ascertain the influence weights of each variable on GRD. Then, a quadratic polynomial prediction model based on the RSM was constructed, and its accuracy was ensured through model validation. Finally, the optimal process parameter combination was determined through the particle swarm optimization algorithm, which included a friction coefficient of 0.3, an initial temperature of 1250 °C, and a downward pressing speed of 7.5 mm/s. The results of the experimental investigation indicate that optimized process parameters significantly reduce the forming load, equivalent stress, and damage value, effectively enhancing the overall quality of forged parts.
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Research context
OpenAlex topics: Metallurgy and Material Forming · Advanced machining processes and optimization · Metal Forming Simulation Techniques
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Affiliations
Henan Provincial Key Laboratory of Intelligent Manufacturing of Mechanical Equipment, Zhengzhou University of Light Industry, Zhengzhou 450002, China
Longmen Laboratory, Henan University of Science and Technology, Luoyang 471009, China
Funding
Henan Province Science and Technology Research and Development Plan Joint Fund Project · Major Science and Technology Project of Longmen Laboratory
References (39)
Show source-provided references
1. The Ultra-High Temperature Forging Process Based on DEFORM-3D Simulation10.1007/s12008-021-00811-y ↗
2. New Schemes of Forging Plates, Shafts, and Discs10.1007/s00170-015-7377-7 ↗
3. Numerical Simulation and Experimental Verification of Microstructure Evolution in Large Forged Pipe Used for AP1000 Nuclear Power Plants10.1016/j.anucene.2015.07.042 ↗
4. Rational Parameters of Profiled Workpieces for an Upsetting Process10.1007/s00170-014-5727-5 ↗
5. Predictive Control for a Single-Blow Cold Upsetting Using Surrogate Modeling for a Digital Twin10.1007/s12289-023-01803-x ↗
6. Optimization of Direct Extrusion Process Parameter on 16MnCr5 and AISI1010 Using DEFORM-3D10.1016/j.promfg.2019.02.070 ↗
7. Microstructure Prediction of Multi-Directional Forging for 30Cr2Ni4MoV Steel by the Secondary Development of Deform Software and BP Neural Network10.1007/s00170-021-08615-w ↗
8. Multi-Objective Optimization of Forging Surface Structure Parameters of Radial Forging Die with Cycloidal10.1007/s00170-023-12629-x ↗
9. Multi-Objective Optimization of Injection-Molded Plastic Parts Using Entropy Weight, Random Forest, and Genetic Algorithm Methods10.1515/polyeng-2019-0326 ↗
10. A Double-Layer Optimization Method for Forging Process Parameters of Hinge Beam Structure and Size of Intermediate Billet10.1007/s12206-023-0933-4 ↗
11. A Multi-Response Optimization of the Multi-Directional Forging Process for Aluminium 7075 Alloy Using Grey-Based Taguchi Method10.1007/s42452-021-04527-2 ↗
12. Optimization of Wear Parameters for Grey Cast Iron under Different Conditions Using Grey Relational Analysis10.1016/j.matpr.2017.11.404 ↗
13. Parameter Optimization of PET Plastic Preform Bottles in Injection Molding Process Using Grey-Based Taguchi Method10.1155/2022/4416602 ↗
14. Rapid Finite Element Analysis of Bulk Metal Forming Process Based on Deformation Theory10.1016/S1006-706X(10)60005-2 ↗
15. Effect of Ultrasonic Treatment on the Morphology and Corrosion Resistance of Zinc-Manganese Phosphate Coatings on 16Mn Steel in 3.5% Sodium Chloride10.1016/j.ijoes.2023.100274 ↗
16. A Modified Johnson-Cook Material Model with Strain Gradient Plasticity Consideration for Numerical Simulation of Cold Spray Process10.1016/j.surfcoat.2020.125981 ↗
17. Influence of heat treatment process on microstructure and mechanical properties of 16Mn steel forging
18. China Society for Technology of Plasticity, CMES (2011). Forging Manual, Machinery Industry Press. [3rd ed.]. (In Chinese).
19. Optimization of Process Parameters Using Response Surface Methodology: A Review10.1016/j.matpr.2020.06.466 ↗
20. Modeling of Hydrogen Flow Decompression from a Storage by a Two-Stage Tesla Valve: A Hybrid Approach of Artificial Neural Network, Response Surface Methodology, and Genetic Algorithm Optimization10.1016/j.est.2024.111104 ↗
21. Jiang, B., Huang, J., Ma, H., Zhao, H., and Ji, H. (2022). Multi-Objective Optimization of Process Parameters in 6016 Aluminum Alloy Hot Stamping Using Taguchi-Grey Relational Analysis. Materials, 15.10.3390/ma15238350 ↗
22. Optimal Displacement Amplification Ratio of Bridge-Type Compliant Mechanism Flexure Hinge Using the Taguchi Method with Grey Relational Analysis10.1007/s00542-018-4202-x ↗
23. Song, H., Chen, X., Zhang, S., and Xu, L. (2022). Multi-Objective Optimization Design of 6-UPS Parallel Mechanism Based on Taguchi Method and Entropy-Weighted Gray Relational Analysis. Appl. Sci., 12.10.3390/app12125836 ↗
24. Optimization of Weld Bead Geometry of Laser Welded ANSI 304 Austenitic Stainless Steel Using Grey-based Taguchi Method10.1002/mawe.202000028 ↗
25. Multiobjective Optimization of 316L Laser Cladding Powder Using Gray Relational Analysis10.1007/s11665-020-05278-8 ↗
26. Yao, P., Zhou, K., Lin, H., Xu, Z., and Yue, S. (2019). Exploration of Weld Bead Forming Rule during Double-Pulsed GMAW Process Based on Grey Relational Analysis. Materials, 12.10.3390/ma12223662 ↗
27. Application of Grey Relational Analysis for Optimizing Weld Bead Geometry Parameters of Pulsed Current Micro Plasma Arc Welded Inconel 625 Sheets10.1007/s00170-014-6665-y ↗
28. Surface Performance Multiobjective Decision of a Cold Roll-Beating Spline with the Entropy Weight Ideal Point Method10.1155/2018/5048387 ↗
29. Jiang, R., Sun, T., Liu, D., Pan, Z., and Wang, D. (2021). Multi-Objective Reliability-Based Optimization of Control Arm Using MCS and NSGA-II Coupled with Entropy Weighted GRA. Appl. Sci., 11.10.3390/app11135825 ↗
30. Multi-Objective Optimization Strategy Based on Entropy Weight, Grey Correlation Theory, and Response Surface Method in Turning
31. Xin, W., Zhang, Y., Fu, Y., Yang, W., and Zheng, H. (2023). A Multi-Objective Optimization Design Approach of Large Mining Planetary Gear Reducer. Sci. Rep., 13.10.1038/s41598-023-45745-5 ↗
32. Simultaneous Optimization of WEDM Responses Using Grey Relational Analysis Coupled with Genetic Algorithm While Machining EN 35310.1007/s00170-014-6198-4 ↗
33. Multi-Objective Optimization of a Laterally Perforated-Finned Heat Sink with Computational Fluid Dynamics Method and Statistical Modeling Using Response Surface Methodology10.1016/j.engappai.2023.107674 ↗
34. Analysis of Hinge’s Hysteresis Based on Response Surface Method10.1109/ACCESS.2020.2979257 ↗
35. Optimization of Warpage on Plastic Injection Molding Part Using Response Surface Methodology (RSM) and Particle Swarm Optimization (PSO)10.1063/1.5066786 ↗
36. A Strategy to Control Microstructures of a Ni-Based Superalloy during Hot Forging Based on Particle Swarm Optimization Algorithm10.1007/s40436-019-00259-0 ↗
37. Kahhal, P., Ghasemi, M., Kashfi, M., Ghorbani-Menghari, H., and Kim, J.H. (2022). A Multi-Objective Optimization Using Response Surface Model Coupled with Particle Swarm Algorithm on FSW Process Parameters. Sci. Rep., 12.10.1038/s41598-022-06652-3 ↗
38. A Competitive Mechanism Based Multi-Objective Particle Swarm Optimizer with Fast Convergence10.1016/j.ins.2017.10.037 ↗
39. Zhou, H., Yang, W., Sun, L., Jing, X., Li, G., and Cao, L. (2021). Reliability Optimization of Process Parameters for Marine Diesel Engine Block Hole System Machining Using Improved PSO. Sci. Rep., 11.10.1038/s41598-021-01567-x ↗