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Investigation and optimization of deformation energy and geometric accuracy in the incremental sheet forming process using response surface methodology

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Abstract

Incremental sheet forming (ISF) is a promising manufacturing process that features benefits of reduced forming forces, enhanced formability and greater process flexibility. It also has a great potential to achieve economic payoff for rapid prototy** applications and for small quantity production in various applications. However, limited research has been conducted from the sustainability point of view, particularly for energy consumption. More consumed energy will generate more heat and affect tool and product wear. Also, geometric accuracy is still one of the dominant limits for the further development and commercialization of the ISF technology. Therefore, the aim of this study is to investigate how different process parameters affect the consumed energy during the forming process and also find the optimal working condition for lower deformation energy with higher geometric accuracy. A Box-Behnken design of 27 tests for pyramid-forming processes have been performed for a multi-objective optimisation that considers four factors: step down, sheet thickness, tool diameter and wall angle at three levels. The deformation energy during the forming process was calculated based on the measured forming forces. It was found that the deformation energy heavily depends on the sheet thickness because of higher plastic energy required to deform the material. Increasing step-down size within a limited range or decreasing the wall angle is also an effective approach to reduce the deformation energy. Moreover, the effects of various process parameters on the global geometric accuracy have also been investigated. The geometric error has been empirically predicted by quadratic equations giving the influence of the most influential forming parameters. It was concluded that the geometric quality is largely determined by the quadratic effect of wall angle, the linear effect of sheet thickness and the interaction effect of thickness and step down. Finally, the optimal working conditions for both independent and simultaneous minimisation of deformation energy and geometric error during the pyramid-forming process are provided.

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References

  1. Jeswiet J, Micari F, Hirt G, Bramley A, Duflou J, Allwood J (2005) Asymmetric single point incremental forming of sheet metal. Annal Manuf Technol 54(2):623–649

    Google Scholar 

  2. Echrif SBM, Hrairi M (2011) Research and progress in incremental sheet forming processes. Mater Manuf Process 26(11):1404–1414. doi:10.1080/10426914.2010.544817

    Article  Google Scholar 

  3. Duflou JR, Sutherland JW, Dornfeld D, Herrmann C, Jeswiet J, Kara S, Hauschild M, Kellens K (2012) Towards energy and resource efficient manufacturing: a processes and systems approach. CIRP Ann Manuf Technol 61(2):587–609. doi:10.1016/j.cirp.2012.05.002

    Article  Google Scholar 

  4. Dittrich MA, Gutowski TG, Cao J, Roth JT, **a ZC, Kiridena V, Ren F, Henning H (2012) Exergy analysis of incremental sheet forming. Prod Eng 6(2):169–177. doi:10.1007/s11740-012-0375-9

    Article  Google Scholar 

  5. Branker K, Adams D, Jeswiet J (2012) Initial analysis of cost, energy and carbon dioxide emissions in single point incremental forming - producing an aluminium hat. Int J Sustain Eng 5(3):188. doi:10.1080/19397038.2011.634033

    Article  Google Scholar 

  6. Ingarao G, Ambrogio G, Gagliardi F, Di Lorenzo R (2012) A sustainability point of view on sheet metal forming operations: material wasting and energy consumption in incremental forming and stam** processes. J Clean Prod 29–30:255–268. doi:10.1016/j.jclepro.2012.01.012

    Article  Google Scholar 

  7. Ingarao G, Vanhove H, Kellens K, Duflou JR (2014) A comprehensive analysis of electric energy consumption of single point incremental forming processes. J Clean Prod 67:173–186. doi:10.1016/j.jclepro.2013.12.022

    Article  Google Scholar 

  8. Aerens R, Eyckens PV, Bael A, Duflou JR (2010) Force prediction for single point incremental forming deduced from experimental and FEM observations. Int J Adv Manuf Technol 46(9):969–982

    Article  Google Scholar 

  9. Ambrogio G, Ingarao G, Gagliardia F, Di Lorenzo R (2014) Analysis of energy efficiency of different setups able to perform single point incremental forming (SPIF) processes. Procedia CIRP 15:111–116. doi:10.1016/j.procir.2014.06.055

    Article  Google Scholar 

  10. Bagudanch I, Garcia-Romeu ML, Ferrer I, Lupiañez J (2013) The effect of process parameters on the energy consumption in single point incremental forming. Procedia Eng 63:346–353. doi:10.1016/j.proeng.2013.08.208

    Article  Google Scholar 

  11. King JM, Allwood GPF, Duflou J (2005) A structured search for applications of the incremental sheet-forming process by product segmentation. Proc Inst Mech Eng B J Eng Manuf 219(2):239–244. doi:10.1243/095440505x8145

    Article  Google Scholar 

  12. Braun JM, Allwood D, Music O (2010) The effect of partially cut-out blanks on geometric accuracy in incremental sheet forming. J Mater Process Technol 210(11):1501–1510. doi:10.1016/j.jmatprotec.2010.04.008

    Article  Google Scholar 

  13. Micari F, Ambrogio G, Filice L (2007) Shape and dimensional accuracy in Single Point Incremental Forming: state of the art and future trends. J Mater Process Technol 191(1–3):390–395. doi:10.1016/j.jmatprotec.2007.03.066

    Article  Google Scholar 

  14. Essa K, Hartley P (2011) An assessment of various process strategies for improving precision in single point incremental forming. Int J Mater Form 4(4):401–412. doi:10.1007/s12289-010-1004-9

    Article  Google Scholar 

  15. Guzmán CF, Gu J, Duflou J, Vanhove H, Flores P, Habraken AM (2012) Study of the geometrical inaccuracy on a SPIF two-slope pyramid by finite element simulations. Int J Solids Struct 49(25):3594–3604. doi:10.1016/j.ijsolstr.2012.07.016

    Article  Google Scholar 

  16. Ambrogio G, Cozza V, Filice L, Micari F (2007) An analytical model for improving precision in single point incremental forming. J Mater Process Technol 191(1–3):92–95. doi:10.1016/j.jmatprotec.2007.03.079

    Article  Google Scholar 

  17. Ham MEJ (2007) Single point incremental forming of aluminum sheet metal: the development of maximum forming angle forming limits, measured strains, surface roughness and dimensional accuracy. Ph.D., Queen’s University (Canada), Ann Arbor

  18. Skjoedt MB, Silva M, Martins PAF, Bay N (2008) Revisiting the fundamentals of single point incremental forming by means of membrane analysis. Int J Mach Tools Manuf 48(1):73–83. doi:10.1016/j.ijmachtools.2007.07.004

    Article  Google Scholar 

  19. Lu H, Li Y, Liu Z, Liu S, Meehan PA (2014) Study on step depth for part accuracy improvement in incremental sheet forming process. Adv Mater Res 939:274–280. doi:10.4028/www.scientific.net/AMR.939.274

    Article  Google Scholar 

  20. Mourabet M, El Rhilassi A, El Boujaady H, Bennani-Ziatni M, Taitai A (2013) Use of response surface methodology for optimization of fluoride adsorption in an aqueous solution by Brushite. Arab J Chem. doi:10.1016/j.arabjc.2013.12.028

    Google Scholar 

  21. Mourabet M, El Rhilassi A, El Boujaady H, Bennani-Ziatni M, El Hamri R, Taitai A (2012) Removal of fluoride from aqueous solution by adsorption on Apatitic tricalcium phosphate using Box–Behnken design and desirability function. Appl Surf Sci 258(10):4402–4410. doi:10.1016/j.apsusc.2011.12.125

    Article  Google Scholar 

  22. Liu Z, Liu S, Li Y, Meehan PA (2014) Modeling and optimization of surface roughness in incremental sheet forming using a multi-objective function. Mater Manuf Process 29(7):808–818. doi:10.1080/10426914.2013.864405

    Article  Google Scholar 

  23. Bhattacharya A, Maneesh K, Venkata Reddy N, Cao J (2011) Formability and surface finish studies in single point incremental forming. J Manuf Sci Eng 133(6):61020. doi:10.1115/1.4005458

    Article  Google Scholar 

  24. Natarajan U, Periyanan P, Yang S (2011) Multiple-response optimization for micro-endmilling process using response surface methodology. Int J Adv Manuf Technol 56(1–4):177–185

    Article  Google Scholar 

  25. Ambrogio G, Filice L, Gagliardi F (2012) Improving industrial suitability of incremental sheet forming process. Int J Adv Manuf Technol 58(9–12):941–947. doi:10.1007/s00170-011-3448-6

    Article  Google Scholar 

  26. Li Y, Daniel WJT, Liu Z, Lu H, Meehan PA (2015) Deformation mechanics and efficient force prediction in single point incremental forming. J Mater Process Technol. doi:10.1016/j.jmatprotec.2015.02.009

    Google Scholar 

  27. Li Y, Liu Z, Lu H, Daniel WJT, Liu S, Meehan P (2014) Efficient force prediction for incremental sheet forming and experimental validation. Int J Adv Manuf Technol 73(1–4):571–587. doi:10.1007/s00170-014-5665-2

    Article  MATH  Google Scholar 

  28. Silva MB, Nielsen PS, Bay N, Martins PAF (2011) Failure mechanisms in single-point incremental forming of metals. Int J Adv Manuf Technol 56(9):893–903. doi:10.1007/s00170-011-3254-1

    Article  Google Scholar 

  29. Hussain G, Khan HR, Gao L, Hayat N (2012) Guidelines for tool-size selection for single-point incremental forming of an aerospace alloy. Mater Manuf Process 28(3):324–329. doi:10.1080/10426914.2012.700151

    Article  Google Scholar 

  30. What is response optimization. (2014). http://support.minitab.com/

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Correspondence to Yanle Li.

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Li, Y., Lu, H., Daniel, W.J.T. et al. Investigation and optimization of deformation energy and geometric accuracy in the incremental sheet forming process using response surface methodology. Int J Adv Manuf Technol 79, 2041–2055 (2015). https://doi.org/10.1007/s00170-015-6986-5

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  • DOI: https://doi.org/10.1007/s00170-015-6986-5

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