Skip to main content

Implementation of Robust Multi-objective Optimization in the Build Orientation Problem

  • Conference paper
  • First Online:
Computational Science and Its Applications – ICCSA 2021 (ICCSA 2021)

Abstract

Additive manufacturing (AM) is an emerging technology to create 3D objects layer-by-layer directly from a 3D CAD model. The build orientation is a critical issue in AM and its optimization will significantly reduce the building costs and improve object accuracy. This paper aims to optimize the build orientation problem of a 3D CAD model using a robust multi-objective approach, taking into account the staircase effect and the support area characteristics. Thus, the main objective is to obtain a robust Pareto optimal front, composed of solutions that are not quite sensitive to perturbations in the variables. In this manner, a set of robust solutions is presented as alternatives and the decision-maker can identify the compromise solutions and choose according to his/her preferences.

This work has been developed under the FIBR3D project - Hybrid processes based on additive manufacturing of composites with long or short fibers reinforced thermoplastic matrix (POCI-01-0145-FEDER-016414), supported by the Lisbon Regional Operational Programme 2020, under the PORTUGAL 2020 Partnership Agreement, through the European Regional Development Fund (ERDF). This work has been supported by FCT – Fundação para a Ciência e Tecnologia within the R&D Units Project Scope: UIDB/00319/2020.

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

Access this chapter

Subscribe and save

Springer+ Basic
$34.99 /Month
  • Get 10 units per month
  • Download Article/Chapter or eBook
  • 1 Unit = 1 Article or 1 Chapter
  • Cancel anytime
Subscribe now

Buy Now

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Similar content being viewed by others

References

  1. Ngo, T.D., Kashani, A., Imbalzano, G., Nguyen, K.T., Hui, D.: Additive manufacturing (3D printing): a review of materials, methods, applications and challenges. Compos. Part B Eng. 143, 172–196 (2018)

    Article  Google Scholar 

  2. Bikas, H., Stavropoulos, P., Chryssolouris, G.: Additive manufacturing methods and modelling approaches: a critical review. Int. J. Adv. Manuf. Technol. 83(1–4), 389–405 (2016)

    Article  Google Scholar 

  3. Ford, S., Despeisse, M.: Additive manufacturing and sustainability: an exploratory study of the advantages and challenges. J. Clean. Prod. 137, 1573–1587 (2016)

    Article  Google Scholar 

  4. Zhang, Y., De Backer, W., Harik, R., Bernard, A.: Build orientation determination for multi-material deposition additive manufacturing with continuous fibers. Procedia CIRP 50(2016), 414–419 (2016)

    Article  Google Scholar 

  5. Matos, M.A., Rocha, A.M.A.C., Pereira, A.I.: Improving additive manufacturing performance by build orientation optimization. Int. J. Adv. Manuf. Technol., 1–13 (2020)

    Google Scholar 

  6. Pereira, S., Vaz, A., Vicente, L.: On the optimal object orientation in additive manufacturing. Int. J. Adv. Manuf. Technol. 98(5–8), 1685–1694 (2018)

    Article  Google Scholar 

  7. Phatak, A.M., Pande, S.: Optimum part orientation in rapid prototyping using genetic algorithm. J. Manuf. Syst. 31(4), 395–402 (2012)

    Article  Google Scholar 

  8. Rocha, A.M.A.C., Pereira, A.I., Vaz, A.I.F.: Build orientation optimization problem in additive manufacturing. In: Gervasi, O., et al. (eds.) ICCSA 2018. LNCS, vol. 10961, pp. 669–682. Springer, Cham (2018). https://doi.org/10.1007/978-3-319-95165-2_47

    Chapter  Google Scholar 

  9. Thrimurthulu, K., Pandey, P.M., Reddy, N.V.: Optimum part deposition orientation in fused deposition modeling. Int. J. Mach. Tools Manuf. 44(6), 585–594 (2004)

    Article  Google Scholar 

  10. Brika, S.E., Zhao, Y.F., Brochu, M., Mezzetta, J.: Multi-objective build orientation optimization for powder bed fusion by laser. J. Manuf. Sci. Eng. 139(11), 111011 (2017)

    Google Scholar 

  11. Golmohammadi, A., Khodaygan, S.: A framework for multi-objective optimisation of 3D part-build orientation with a desired angular resolution in additive manufacturing processes. Virtual Phys. Prototyping 14(1), 19–36 (2019)

    Article  Google Scholar 

  12. Gurrala, P.K., Regalla, S.P.: Multi-objective optimisation of strength and volumetric shrinkage of FDM parts: a multi-objective optimization scheme is used to optimize the strength and volumetric shrinkage of FDM parts considering different process parameters. Virtual Phys. Prototyping 9(2), 127–138 (2014)

    Article  Google Scholar 

  13. Matos, M.A., Rocha, A.M.A.C., Costa, L.A., Pereira, A.I.: A multi-objective approach to solve the build orientation problem in additive manufacturing. In: Misra, S., et al. (eds.) ICCSA 2019. LNCS, vol. 11621, pp. 261–276. Springer, Cham (2019). https://doi.org/10.1007/978-3-030-24302-9_19

    Chapter  Google Scholar 

  14. Mele, M., Campana, G.: Sustainability-driven multi-objective evolutionary orienting in additive manufacturing. Sustain. Prod. Consumption (2020)

    Google Scholar 

  15. Padhye, N., Deb, K.: Multi-objective optimisation and multi-criteria decision making in SLS using evolutionary approaches. Rapid Prototyping J. 17(6), 458–478 (2011)

    Article  Google Scholar 

  16. Matos, M.A., Rocha, A.M.A.C., Costa, L.A.: Many-objective optimization of build part orientation in additive manufacturing. Int. J. Adv. Manuf. Technol., 1–16 (2020)

    Google Scholar 

  17. Deb, K., Gupta, H.: Searching for robust pareto-optimal solutions in multi-objective optimization. In: Coello Coello, C.A., Hernández Aguirre, A., Zitzler, E. (eds.) EMO 2005. LNCS, vol. 3410, pp. 150–164. Springer, Heidelberg (2005). https://doi.org/10.1007/978-3-540-31880-4_11

    Chapter  MATH  Google Scholar 

  18. Deb, K., Gupta, H.: Introducing robustness in multi-objective optimization. Evol. Comput. 14(4), 463–494 (2006)

    Article  Google Scholar 

  19. Botte, M., Schöbel, A.: Dominance for multi-objective robust optimization concepts. Eur. J. Oper. Res. 273(2), 430–440 (2019)

    Article  MathSciNet  Google Scholar 

  20. Sülflow, A., Drechsler, N., Drechsler, R.: Robust multi-objective optimization in high dimensional spaces. In: Obayashi, S., Deb, K., Poloni, C., Hiroyasu, T., Murata, T. (eds.) EMO 2007. LNCS, vol. 4403, pp. 715–726. Springer, Heidelberg (2007). https://doi.org/10.1007/978-3-540-70928-2_54

    Chapter  Google Scholar 

  21. Matos, M.A., Rocha, A.M.A.C., Costa, L.A., Pereira, A.I.: Multi-objective optimization in the build orientation of a 3D CAD model. In: Gaspar-Cunha, A., Periaux, J., Giannakoglou, K.C., Gauger, N.R., Quagliarella, D., Greiner, D. (eds.) Advances in Evolutionary and Deterministic Methods for Design, Optimization and Control in Engineering and Sciences. CMAS, vol. 55, pp. 99–114. Springer, Cham (2021). https://doi.org/10.1007/978-3-030-57422-2_7

    Chapter  Google Scholar 

  22. Jibin, Z.: Determination of optimal build orientation based on satisfactory degree theory for RPT. In: Ninth International Conference on Computer Aided Design and Computer Graphics, p. 6. IEEE (2005)

    Google Scholar 

  23. Deb, K.: Multi-Objective Optimization Using Evolutionary Algorithms. Wiley, New York (2001)

    MATH  Google Scholar 

  24. MATLAB: version 9.6.0.1214997 (R2019a). The MathWorks Inc., Natick, Massachusetts (2019)

    Google Scholar 

  25. SIMPLIFY3D, I.S.S.: version 4.0.0 (2017). Simplify3D LLC., Legal Dept, Simplify3D (2017)

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Ana Maria A. C. Rocha .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2021 Springer Nature Switzerland AG

About this paper

Check for updates. Verify currency and authenticity via CrossMark

Cite this paper

Matos, M.A., Rocha, A.M.A.C., Costa, L.A., Pereira, A.I. (2021). Implementation of Robust Multi-objective Optimization in the Build Orientation Problem. In: Gervasi, O., et al. Computational Science and Its Applications – ICCSA 2021. ICCSA 2021. Lecture Notes in Computer Science(), vol 12953. Springer, Cham. https://doi.org/10.1007/978-3-030-86976-2_17

Download citation

  • DOI: https://doi.org/10.1007/978-3-030-86976-2_17

  • Published:

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-030-86975-5

  • Online ISBN: 978-3-030-86976-2

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics