Skip to main content
Log in

Machine learning aided design of conformal cooling channels for injection molding

  • Published:
Journal of Intelligent Manufacturing Aims and scope Submit manuscript

Abstract

During the injection molding process, the cooling process represents the largest portion of the cycle time. The effectiveness of the cooling system significantly affects the production efficiency and part quality, where it is limited by the conventional cooling channels manufactured by the drilling and casting process. Although the maturing advanced additive manufacturing (AM) technology allows the design and fabrication of complex conformal cooling channels, the temperature variance caused by non-uniform thickness distribution of the part remains unsolved. This issue is caused by the fact that the existing conformal cooling designs do not create the channels conformal to the part thickness distributions. In this work, a machine learning aided design method is proposed to generate cooling systems which conform not only to the part surface but also to the part thickness values. Three commonly used conformal cooling channel topologies including spiral, zig-zag, and porous are selected. A surrogate model is derived for each cooling channel topology to approximate the relationship between the design parameters of the cooling channels, part thickness, and the resulting part surface temperature. Based on the surrogate model, the design parameters of each type of cooling channels are optimized to minimize the part surface temperature variation. At the end of the paper, design cases are studied to validate the effectiveness of the proposed method. Based on the proposed method, much lower temperature variance and a smaller coolant pressure drop are achieved compared with the conventional conformal cooling design.

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.

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5
Fig. 6
Fig. 7
Fig. 8
Fig. 9
Fig. 10
Fig. 11
Fig. 12
Fig. 13

Similar content being viewed by others

Abbreviations

MLACCD:

ML-aided conformal cooling design

TVM:

Temperature variance minimization

SMLTM :

Supervised ML temperature model

l p :

Half of the part thickness

Re:

Reynolds number

d :

Cooling channel diameter

W :

Cooling channel pitch width

l m :

Cooling channel pitch to mold surface distance

\(\phi\) :

Mold porosity

\(\overrightarrow {CEV}\) :

Cooling efficiency variation direction

\(\vec{c}\) :

Cooling channel distribution direction

WOCP :

\(W\)—Optimized control points

\(\Delta \theta\) :

Resolution angle

\(l_{i}\) :

\(i^{th}\) Control line

\(p_{0}\) :

Point with maximum divergence

\(p_{i}^{\left( j \right)}\) :

\(j^{th}\) Point on \(i^{th}\) control line

\(L\left( i \right)\) :

Set of points on \(i^{th}\) control line

\(T_{g}\) :

Target temperature

\(T_{i}^{{\left( {j,k} \right)}}\) :

Temperature on the cooling surface between \(p_{i}^{\left( j \right)}\) and \(p_{i}^{\left( k \right)}\)

\(d_{i}^{{\left( {j,k} \right)}}\) :

Distance between \(p_{i}^{\left( j \right)}\) and \(p_{i}^{\left( k \right)}\)

\(\Delta h_{i}^{j}\) :

Additional height added to the distance from \(p_{i}^{\left( j \right)}\) to the cooling surface during the second optimization step

\(\Delta w\) :

Resolution distance

\(d_{e}\) :

Edge distance

MAX:

Maximum

AVG:

Average

References

  • Advisor AM (2019). https://www.autodesk.com. Accessed December 2019.

  • Au, K. M., & Yu, K. M. (2007). A scaffolding architecture for conformal cooling design in rapid plastic injection moulding. The International Journal of Advanced Manufacturing Technology, 34(5), 496–515. https://doi.org/10.1007/s00170-006-0628-x

    Article  Google Scholar 

  • Au, K., & Yu, K. (2011). Modeling of multi-connected porous passageway for mould cooling. Computer-Aided Design, 43(8), 989–1000.

    Article  Google Scholar 

  • Chi, H. M., Moskowitz, H., Ersoy, O. K., Altinkemer, K., Gavin, P. F., Huff, B. E., & Olsen, B. A. (2009). Machine learning and genetic algorithms in pharmaceutical development and manufacturing processes. Decision Support Systems, 48(1), 69–80.

    Article  Google Scholar 

  • Diegel, O., Nordin, A., & Motte, D. (2019). Guidelines for AM Tooling Design. A Practical Guide to Design for Additive Manufacturing (pp. 85–92). Springer.

    Chapter  Google Scholar 

  • Dimla, D., Camilotto, M., & Miani, F. J. J. O. M. P. T. (2005). Design and optimisation of conformal cooling channels in injection moulding tools. Journal of Materials Processing Technology, 164, 1294–1300.

    Article  Google Scholar 

  • Ford, S., & Despeisse, M. (2016). Additive manufacturing and sustainability: An exploratory study of the advantages and challenges. Journal of Cleaner Production, 137, 1573–1587.

    Article  Google Scholar 

  • Haykin, S. (1994). Neural networks: A comprehensive foundation. Prentice Hall PTR.

    Google Scholar 

  • Hazwan, M. H. M., Shayfull, Z., Sharif, S., Nasir, S. M., & Rashidi, M. M. (2017). Warpage optimisation on the moulded part with conformal cooling channels using response surface methodology (RSM) and genetic algorithm (GA) optimisation approaches. In AIP Conference Proceedings. AIP Publishing LLC, 1885 (1), p 020138

  • Jacques, M. S. (1982). An analysis of thermal warpage in injection molded flat parts due to unbalanced cooling. Polymer Engineering and Science, 22(4), 241–247.

    Article  Google Scholar 

  • Jahan, S. A., Tong, W., Yi, Z., Jing, Z., & Elmounayri, H. (2017). Thermo-mechanical design optimization of conformal cooling channels using design of experiments approach. Procedia Manufacturing, 10, 898–911.

    Article  Google Scholar 

  • Jahan, S. A., Wu, T., Zhang, Y., El-Mounayri, H., Tovar, A., Zhang, J., Acheson, D., Nalim, R., Guo, X., & Lee, W. H. (2016). Implementation of conformal cooling & topology optimization in 3D printed stainless steel porous structure injection molds. Procedia Manufacturing, 5, 901–915.

    Article  Google Scholar 

  • Jahan, S. A., Wu, T., Zhang, Y., Zhang, J., Tovar, A., & El-Mounayri, H. (2018). Effect of Porosity on Thermal Performance of Plastic Injection Molds Based on Experimental and Numerically Derived Material Properties. Mechanics of Additive and Advanced Manufacturing (Vol. 9, pp. 55–63). Springer.

    Google Scholar 

  • Kalpakjian, S., Schmid, S. R., & Sekar, K. (2014). Manufacturing engineering and technology. Pearson.

    Google Scholar 

  • Khan, M., Afaq, S. K., Khan, N. U., & Ahmad, S. (2014). Cycle time reduction in injection molding process by selection of robust cooling channel design. ISRN Mechanical Engineering, 2014, 1–8.

    Article  Google Scholar 

  • 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. International Journal of Advanced Manufacturing Technology, 88(5–8), 1735–1744.

    Google Scholar 

  • Lee, B., & Kim, B. (1995). Optimization of part wall thicknesses to reduce warpage of injection-molded parts based on the modified complex method. Polymer-Plastics Technology and Engineering, 34(5), 793–811.

    Article  Google Scholar 

  • Li, C. (2001). A feature-based approach to injection mould cooling system design. Computer-Aided Design, 33(14), 1073–1090.

    Article  Google Scholar 

  • Monostori, L. (2003). AI and machine learning techniques for managing complexity changes and uncertainties in manufacturing. Engineering Applications of Artificial Intelligence, 16(4), 277–291.

    Article  Google Scholar 

  • Murphy, K. P. (2012). Machine learning: A probabilistic perspective. MIT press.

    Google Scholar 

  • Pandelidis, I., & Zou, Q. (1990). Optimization of injection molding design Part I: Gate location optimization. Polymer Engineering and Science, 30(15), 873–882.

    Article  Google Scholar 

  • Park, H.-S., & Dang, X.-P. (2010). Optimization of conformal cooling channels with array of baffles for plastic injection mold. International Journal of Precision Engineering Manufacturing, 11(6), 879–890.

    Article  Google Scholar 

  • Park, H.-S., & Pham, N. H. (2009). Design of conformal cooling channels for an automotive part. International Journal of Automotive Technology, 10(1), 87–93.

    Article  Google Scholar 

  • Park, H. S., Phuong, D. X., & Kumar, S. (2019). AI based injection molding process for consistent product quality. Procedia Manufacturing, 28, 102–106.

    Article  Google Scholar 

  • Priore, P., De La Fuente, D., Gomez, A., & Puente, J. (2001). A review of machine learning in dynamic scheduling of flexible manufacturing systems. Artificial Intelligence for Engineering Design Analysis & Manufacturing, 15(3), 251–263.

    Article  Google Scholar 

  • Rosato, D. V., & Rosato, M. G. (2012). Injection molding handbook. Springer.

    Google Scholar 

  • Saifullah, A. B. M., & Masood, S. H. (2007). Finite element thermal analysis of conformal cooling channels in injection moulding. In Proceedings of the 5th Australasian congress on applied mechanics (p. 337). Engineers Australia

  • Shi, H., Xie, S., & Wang, X. (2013). A warpage optimization method for injection molding using artificial neural network with parametric sampling evaluation strategy. The International Journal of Advanced Manufacturing Technology, 65(1–4), 343–353.

    Article  Google Scholar 

  • Tang, Y., Gao, Z., & Zhao, Y. F. (2019). Design of conformal porous structures for the cooling system of an injection mold fabricated by Additive Manufacturing Process. Journal of Mechnical Design, 141(10), 1–22.

    Google Scholar 

  • Wang, Y., Yu, K.-M., & Wang, C. C. (2015). Spiral and conformal cooling in plastic injection molding. Computer-Aided Design, 63, 1–11.

    Article  Google Scholar 

  • Wang, Y., Yu, K.-M., Wang, C. C., & Zhang, Y. (2011). Automatic design of conformal cooling circuits for rapid tooling. Computer-Aided Design, 43(8), 1001–1010.

    Article  Google Scholar 

  • Wu, T., Liu, K., & Tovar, A. (2017). Multiphase topology optimization of lattice injection molds. Computers and Structures, 192, 71–82.

    Article  Google Scholar 

  • Xu, X., Sachs, E., & Allen, S. (2001). The design of conformal cooling channels in injection molding tooling. Polymer Engineering and Science, 41(7), 1265–1279.

    Article  Google Scholar 

  • Yao, D., & Kim, B. (2002). Development of rapid heating and cooling systems for injection molding applications. Polymer Engineering and Science, 42(12), 2471–2481.

    Article  Google Scholar 

  • Zheng, Z., Zhang, H.-o, Wang, G.-l, & Qian, Y.-p. (2011). Finite element analysis on the injection molding and productivity of conformal cooling channel. Journal of Shanghai Jiaotong University (science), 16(2), 231–235. https://doi.org/10.1007/s12204-011-1128-1

    Article  Google Scholar 

Download references

Funding

This research work is supported by NSERC Strategic Network for Holistic Innovation in Additive Manufacturing (HI-AM) Grant No. NETGP 494158–16.

Author information

Authors and Affiliations

Authors

Contributions

Z.G conceived the presented idea, developed the methodology, and drafted the manuscript. G.D developed the machine learning model, revised the manuscript. Y.T conceived the presented idea and designed the cooling channel topologies. Y.F.Z revised the manuscript. All the authors discussed the result and contributed to the final manuscript.

Corresponding authors

Correspondence to Guoying Dong or Yaoyao Fiona Zhao.

Ethics declarations

Conflict of interest

The authors declare that they have no known competing financial interests or personal relationships that could have appeared to influence the work reported in this paper.

Data availability

Data available on request from the authors.

Additional information

Publisher's Note

Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Gao, Z., Dong, G., Tang, Y. et al. Machine learning aided design of conformal cooling channels for injection molding. J Intell Manuf 34, 1183–1201 (2023). https://doi.org/10.1007/s10845-021-01841-9

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10845-021-01841-9

Keywords

Navigation