Skip to main content

Advertisement

Log in

Automated and robust multi-objective optimal design of thin-walled product injection process based on hybrid RBF-MOGA

  • ORIGINAL ARTICLE
  • Published:
The International Journal of Advanced Manufacturing Technology Aims and scope Submit manuscript

Abstract

An automated and robust multi-objective optimal design system has been developed and carried out on the optimization of injection process parameters. A hybrid multi-objective optimization of process parameters in plastic injection molding (PIM) is implemented for a synchronous decrease in multi objectives. The main defects indicating plastic part quality including warpage, volume shrinkage, and weldline are the objectives of optimization. Melt temperature, injection time, cooling time, mold temperature, packing pressure, and packing time are considered as optimization parameters. Orthogonal array-Latin hypercube sampling (OA-LHS) method is adopted to generate the initial set of parameter points. Metamodeling technique, radial basis functions (RBF), is utilized to construct the response surface fitting process parameters and simulation responses. RBF replaces expensive simulation experiments and reduces the time and computation cost. For a quick search of optimal point, Pareto-ranking-based multi-objective genetic algorithm (MOGA) is performed to make a trade-off among three objectives. Accuracy analysis shows a lower prediction error of the proposed algorithm, and sensitivity analysis identifies the parameters which have significant influence on response. Simulation experiments are implemented for verification of the optimization. The proposed optimization is automated with the help of visual basic scripts, python, Applications Programming Interface (API) of Moldflow and Dakota. The system is applied to an industrial application in thin-walled automobile air-conditioner vent injection process which increases efficiency and accuracy in optimal design compared to conventional trial-and-error design process.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. Nian SC, Wu CY, Huang MS (2015) Warpage control of thin-walled injection molding using local mold temperatures. Int Commun Heat Mass 61:102–110

    Article  Google Scholar 

  2. Kurt M, Saban Kamber O, Kaynak Y, Atakok G, Girit O (2009) Experimental investigation of plastic injection molding: assessment of the effects of cavity pressure and mold temperature on the quality of the final products. Mater Des 30(8):3217–3224

    Article  Google Scholar 

  3. Kurtaran H, Erzurumlu T (2005) Efficient warpage optimization of thin shell plastic parts using response surface methodology and genetic algorithm. Int J Adv Manuf Technol 27(5–6):468–472

    Google Scholar 

  4. Gao Y, Wang X (2007) An effective warpage optimization method in injection molding based on the Kriging model. Int J Adv Manuf Technol 37(9–10):953–960

    Google Scholar 

  5. Chen C, Chuang M, Hsiao Y, Yang Y, Tsai C (2009) Simulation and experimental study in determining injection molding process parameters for thin-shell plastic parts via design of experiments analysis. Expert Syst Appl 36(7):10752–10759

    Article  Google Scholar 

  6. Farshi B, Gheshmi S, Miandoabchi E (2011) Optimization of injection molding process parameters using sequential simplex algorithm. Mater Des 32(1):414–423

    Article  Google Scholar 

  7. Hakimian E, Sulong AB (2012) Analysis of warpage and shrinkage properties of injection-molded micro gears polymer composites using numerical simulations assisted by the Taguchi method. Mater Des 42:62–71

    Article  Google Scholar 

  8. Masato D, Rathore J, Sorgato M, Carmignato S, Lucchetta G (2017) Analysis of the shrinkage of injection-molded fiber-reinforced thin-wall parts. Mater Des 132:496–504

    Article  Google Scholar 

  9. Kitayama S, Yokoyama M, Takano M, Aiba S (2017) Multi-objective optimization of variable packing pressure profile and process parameters in plastic injection molding for minimizing warpage and cycle time. Int J Adv Manuf Technol 92(9–12):3991–3999

    Article  Google Scholar 

  10. Che ZH (2010) PSO-based back-propagation artificial neural network for product and mold cost estimation of plastic injection molding. Comput Ind Eng 58(4):625–637

    Article  Google Scholar 

  11. Yin F, Mao H, Hua L (2011) A hybrid of back propagation neural network and genetic algorithm for optimization of injection molding process parameters. Mater Des 32(6):3457–3464

    Article  Google Scholar 

  12. Deng Y, Zhang Y, Lam YC (2010) A hybrid of mode-pursuing sampling method and genetic algorithm for minimization of injection molding warpage. Mater Des 31(4):2118–2123

    Article  Google Scholar 

  13. Moayyedian M, Abhary K, Marian R (2018) Optimization of injection molding process based on fuzzy quality evaluation and Taguchi experimental design. CIRP J Manuf Sci Technol 21:150–160

    Article  Google Scholar 

  14. Oliaei E, Heidari BS, Davachi SM, Bahrami M, Davoodi S, Hejazi I, Seyfi J (2016) Warpage and shrinkage optimization of injection-molded plastic spoon parts for biodegradable polymers using Taguchi, ANOVA and artificial neural network methods. J Mater Sci Technol 32(8):710–720

    Article  Google Scholar 

  15. Xia W, Luo B, Liao X (2011) An enhanced optimization approach based on Gaussian process surrogate model for process control in injection molding. Int J Adv Manuf Technol 56(9–12):929–942

    Article  Google Scholar 

  16. Cheng J, Liu Z, Tan J (2012) Multiobjective optimization of injection molding parameters based on soft computing and variable complexity method. Int J Adv Manuf Technol 66(5–8):907–916

    Google Scholar 

  17. Chen W, Liou P, Chou S (2014) An integrated parameter optimization system for MIMO plastic injection molding using soft computing. Int J Adv Manuf Technol 73(9–12):1465–1474

    Article  Google Scholar 

  18. Wang Y, Kim J, Song J (2014) Optimization of plastic injection molding process parameters for manufacturing a brake booster valve body. Mater Des 56:313–317

    Article  Google Scholar 

  19. Kitayama S, Natsume S (2014) Multi-objective optimization of volume shrinkage and clamping force for plastic injection molding via sequential approximate optimization. Simul Model Pract Theory 48:35–44

    Article  Google Scholar 

  20. Kitayama S, Tamada K, Takano M, Aiba S (2018) Numerical and experimental investigation on process parameters optimization in plastic injection molding for weldlines reduction and clamping force minimization. Int J Adv Manuf Technol 97:2087–2098

    Article  Google Scholar 

  21. Zhang J, Wang J, Lin J, Guo Q, Chen K, Ma L (2015) Multiobjective optimization of injection molding process parameters based on Opt LHD, EBFNN, and MOPSO. Int J Adv Manuf Technol 85(9–12):2857–2872

    Google Scholar 

  22. Wu C, Ku C, Pai H (2010) Injection molding optimization with weld line design constraint using distributed multi-population genetic algorithm. Int J Adv Manuf Technol 52(1–4):131–141

    Google Scholar 

  23. Heidari BS, Davachi SM, Moghaddam AH, Seyfi J, Hejazi I, Sahraeian R, Rashedi H (2018) Optimization simulated injection molding process for ultrahigh molecular weight polyethylene nanocomposite hip liner using response surface methodology and simulation of mechanical behavior. J Mech Behav Biomed Mater 81:95–105

    Article  Google Scholar 

  24. Park HS, Dang XP (2010) Structural optimization based on CAD–CAE integration and metamodeling techniques. Comput Aided Des 42(10):889–902

    Article  Google Scholar 

  25. Wang Y, Yu K, Wang CCL (2015) Spiral and conformal cooling in plastic injection molding. Comput Aided Des 63:1–11

    Article  Google Scholar 

  26. Kitayama S, Miyakawa H, Takano M, Aiba S (2016) Multi-objective optimization of injection molding process parameters for short cycle time and warpage reduction using conformal cooling channel. Int J Adv Manuf Technol 88(5–8):1735–1744

    Google Scholar 

  27. Dang XP (2014) General frameworks for optimization of plastic injection molding process parameters. Simul Model Pract Theory 41:15–27

    Article  Google Scholar 

  28. Zhao J, Cheng G, Ruan S, Li Z (2015) Multi-objective optimization design of injection molding process parameters based on the improved efficient global optimization algorithm and non-dominated sorting-based genetic algorithm. Int J Adv Manuf Technol 78(9–12):1813–1826

    Article  Google Scholar 

  29. Owen AB (1992) Orthogonal arrays for computer experiments, integration, and visualization. Statistica Sinica 14

  30. Konak A, Coit DW, Smith AE (2006) Multi-objective optimization using genetic algorithms: a tutorial. Reliab Eng Syst Saf 91(9):992–1007

    Article  Google Scholar 

  31. Brian M, Adams MSE, Michael S. Eldred, Gianluca Geraci, John D. Jakeman KAM, Jason A. Monschke, J. Adam Stephens, Laura P. Swiler DMV, Timothy M. Wildey (2009) Dakota, a multilevel parallel object-oriented framework for design optimization, parameter estimation, uncertainty quantification, And sensitivity analysis: version 6.8 User’s manual

  32. Kim KH, Park JC, Suh YS, Koo BH (2016) Interactive robust optimal design of plastic injection products with minimum weldlines. Int J Adv Manuf Technol 88(5–8):1333–1344

    Google Scholar 

Download references

Acknowledgements

The authors would like to acknowledge Sandia National Laboratories for sharing DAKOTA as open-source software.

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Xionghui Zhou.

Additional information

Highlights

• An automated and robust optimal design system is designed for PIM.

• A synchronous decrease in warpage, shrinkage, and weldline is obtained by optimization.

• OA-LHS sampling strategy is utilized for generating the initial set of points in design space.

• Metamodeling technology, ANN-RBF, is adopted to construct the surrogate surface fitting parameters and responses. Pareto-ranking MOGA is implemented to search for the optimal point of parameters.

• The efficiency and accuracy of the proposed system are verified by industrial case studies.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Feng, Q., Zhou, X. Automated and robust multi-objective optimal design of thin-walled product injection process based on hybrid RBF-MOGA. Int J Adv Manuf Technol 101, 2217–2231 (2019). https://doi.org/10.1007/s00170-018-3084-5

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s00170-018-3084-5

Keywords

Navigation