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On-line autonomous path optimization for multi-pass incremental forming using model predictive control

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Abstract

Model predictive control (MPC) is an advanced control algorithm that has been successfully implemented in the on-line path optimization of computer-numerical-control (CNC) machines for performing single-pass incremental sheet forming (ISF) processes, aiming at precision enhancements of products. Multi-pass ISF technique is usually employed to manufacture parts with extremely large wall angles which cannot be achieved without failure using the single-pass ISF. However, existing studies show that the geometric precision of the products of multi-pass ISF is usually very poor, which has significantly hampered the widespread application of this technique in industry. In the present study, two control algorithms based on the MPC framework were proposed, targeting at achieving a more precise geometry of multi-pass ISF products. MPC-1 was an extension of the control algorithm for the single-pass ISF process reported in our previous work, and MPC-2 was developed for the first time. The developed MPCs were comparatively validated by a group of physical benchmark test. Compared to MPC-1, MPC-2 reduced the maximum geometric error in the wall, conjunction, and base zones on the same part by 26%, 51%, and 73%, respectively. The test results show that MPC-2 had a better performance in multi-pass ISF processes.

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References

  1. Lu H, Liu H, Wang C (2019) Review on strategies for geometric accuracy improvement in incremental sheet forming. Int J Adv Manuf Technol 102(9-12):3381–3417. https://doi.org/10.1007/s00170-019-03348-3

    Article  Google Scholar 

  2. Meier H, Buff B, Laurischkat R, Smukala V (2009) Increasing the part accuracy in dieless robot-based incremental sheet metal forming. CIRP Ann 58(1):233–238. https://doi.org/10.1016/j.cirp.2009.03.056

    Article  Google Scholar 

  3. Mohanty S, Regalla SP, Daseswara Rao YV (2019) Robot-assisted incremental sheet metal forming under the different forming condition. J Braz Soc Mech Sci Eng 41(2). https://doi.org/10.1007/s40430-019-1581-6

  4. Störkle DD, Möllensiep D, Thyssen L, Kuhlenkötter B (2018) Geometry-dependent parameterization of local support in robot-based incremental sheet forming. Procedia Manuf 15:1164–1169. https://doi.org/10.1016/j.promfg.2018.07.373

    Article  Google Scholar 

  5. Li Y, Chen X, Zhai W, Wang L, Li J, Guoqun Z (2018) Effects of process parameters on thickness thinning and mechanical properties of the formed parts in incremental sheet forming. Int J Adv Manuf Technol 98(9-12):3071–3080. https://doi.org/10.1007/s00170-018-2469-9

    Article  Google Scholar 

  6. Liu Z, Daniel WJT, Li Y, Liu S, Meehan PA (2014) Multi-pass deformation design for incremental sheet forming: analytical modeling, finite element analysis and experimental validation. J Mater Process Technol 214(3):620–634. https://doi.org/10.1016/j.jmatprotec.2013.11.010

    Article  Google Scholar 

  7. Lu H, Kearney M, Li Y, Liu S, Daniel WJT, Meehan PA (2015) Model predictive control of incremental sheet forming for geometric accuracy improvement. Int J Adv Manuf Technol 82(9-12):1781–1794. https://doi.org/10.1007/s00170-015-7431-5

    Article  Google Scholar 

  8. Li Y, Chen X, Liu Z, Sun J, Li F, Li J, Zhao G (2017) A review on the recent development of incremental sheet-forming process. Int J Adv Manuf Technol 92(5-8):2439–2462. https://doi.org/10.1007/s00170-017-0251-z

    Article  Google Scholar 

  9. Liu F et al (2020) Modelling of the effects of process parameters on energy consumption for incremental sheet forming process. J Clean Prod 250. https://doi.org/10.1016/j.jclepro.2019.119456

  10. Duflou JR et al (2008) Process window enhancement for single point incremental forming through multi-step toolpaths. CIRP Ann 57(1):253–256, 2008/01/01/. https://doi.org/10.1016/j.cirp.2008.03.030

    Article  Google Scholar 

  11. Liu Z, Li Y, Meehan PA (2014) Tool path strategies and deformation analysis in multi-pass incremental sheet forming process. Int J Adv Manuf Technol 75(1-4):395–409. https://doi.org/10.1007/s00170-014-6143-6

    Article  Google Scholar 

  12. Kim TJ, Yang DY (2000) Improvement of formability for the incremental sheet metal forming process. Int J Mech Sci 42(7):1271–1286. https://doi.org/10.1016/s0020-7403(99)00047-8

    Article  MATH  Google Scholar 

  13. Skjoedt M, Silva MB, Martins PAF, Bay N (2009) Strategies and limits in multi-stage single-point incremental forming. J Strain Anal Eng Des 45(1):33–44. https://doi.org/10.1243/03093247jsa574

    Article  Google Scholar 

  14. Liu Z, Li Y, Meehan PA (2013) Vertical wall formation and material flow control for incremental sheet forming by revisiting multistage deformation path strategies. Mater Manuf Process 28(5):562–571. https://doi.org/10.1080/10426914.2013.763964

    Article  Google Scholar 

  15. Junchao L, Junjian S, Bin W (2013) A multipass incremental sheet forming strategy of a car taillight bracket. Int J Adv Manuf Technol 69(9):2229–2236, 2013/12/01. https://doi.org/10.1007/s00170-013-5179-3

    Article  Google Scholar 

  16. He A, Kearney MP, Weegink KJ, Wang C, Liu S, Meehan PA (2020) A model predictive path control algorithm of single-point incremental forming for non-convex shapes. Int J Adv Manuf Technol. https://doi.org/10.1007/s00170-020-04989-5

  17. Hirt G, Ames J, Bambach M, Kopp R, Kopp R (2004) Forming strategies and process modelling for CNC incremental sheet forming. CIRP Ann 53(1):203–206. https://doi.org/10.1016/s0007-8506(07)60679-9

    Article  Google Scholar 

  18. Fu Z, Mo J, Han F, Gong P (2012) Tool path correction algorithm for single-point incremental forming of sheet metal. Int J Adv Manuf Technol 64(9-12):1239–1248. https://doi.org/10.1007/s00170-012-4082-7

    Article  Google Scholar 

  19. Fiorentino A, Feriti GC, Giardini C, Ceretti E (2015) Part precision improvement in incremental sheet forming of not axisymmetric parts using an artificial cognitive system. J Manuf Syst 35:215–222. https://doi.org/10.1016/j.jmsy.2015.02.003

    Article  Google Scholar 

  20. Fiorentino A, Giardini C, Ceretti E (2015) Application of artificial cognitive system to incremental sheet forming machine tools for part precision improvement. Precis Eng 39:167–172. https://doi.org/10.1016/j.precisioneng.2014.08.005

    Article  Google Scholar 

  21. Mayne DQ, Rawlings JB, Rao CV, Scokaert POM (2000) Constrained model predictive control: stability and optimality. Automatica 36(6):789–814. https://doi.org/10.1016/s0005-1098(99)00214-9

    Article  MathSciNet  MATH  Google Scholar 

  22. Wang H, Duncan S (2011) Constrained model predictive control of an incremental sheet forming process. 2011 IEEE International Conference on Control Applications (CCA), 1288–1293

  23. Lu H, Kearney M, Liu S, Daniel WJT, Meehan PA (2016) Two-directional toolpath correction in single-point incremental forming using model predictive control. Int J Adv Manuf Technol 91(1-4):91–106. https://doi.org/10.1007/s00170-016-9672-3

    Article  Google Scholar 

  24. Lu H, Kearney M, Wang C, Liu S, Meehan PA (2017) Part accuracy improvement in two point incremental forming with a partial die using a model predictive control algorithm. Precis Eng 49:179–188. https://doi.org/10.1016/j.precisioneng.2017.02.006

    Article  Google Scholar 

  25. He A, Wang C, Liu S, Meehan PA (2020) Switched model predictive path control of incremental sheet forming for parts with varying wall angles. J Manuf Process 53:342–355, 2020/05/01/. https://doi.org/10.1016/j.jmapro.2020.02.012

    Article  Google Scholar 

  26. Allwood JM, Music O, Raithathna A, Duncan SR (2009) Closed-loop feedback control of product properties in flexible metal forming processes with mobile tools. CIRP Ann 58(1):287–290. https://doi.org/10.1016/j.cirp.2009.03.065

    Article  Google Scholar 

  27. Bambach M (2010) A geometrical model of the kinematics of incremental sheet forming for the prediction of membrane strains and sheet thickness. J Mater Process Technol 210(12):1562–1573. https://doi.org/10.1016/j.jmatprotec.2010.05.003

    Article  Google Scholar 

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Funding

The authors acknowledge Queensland Government, Boeing Research & Technology - Australia, The University of Queensland, and QMI Solutions for the support and collaboration through the Advanced Queensland Innovation Partnerships Project 2016000418. The first author acknowledges the University of Queensland for financial support.

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  1. School of Mechanical & Mining Engineering, The University of Queensland, Brisbane, Queensland, 4072, Australia

    An He, Chenhao Wang, Sheng Liu & Paul A. Meehan

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  1. An He
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  2. Chenhao Wang
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  3. Sheng Liu
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  4. Paul A. Meehan
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Correspondence to An He.

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He, A., Wang, C., Liu, S. et al. On-line autonomous path optimization for multi-pass incremental forming using model predictive control. Int J Adv Manuf Technol 116, 3339–3353 (2021). https://doi.org/10.1007/s00170-021-07616-z

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  • DOI: https://doi.org/10.1007/s00170-021-07616-z

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