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Application of RSM in optimization of bi-layered X-type tube hydroforming

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Abstract

In this study, the hydroforming process parameters of a bi-layered X-type tube are designed and optimized by exploring the response surface methodology. First, UG software is used for model setup of the bi-layered X-type tube and mold, which is imported into DYNAFORM software for further numerical simulation and calculation of the hydroforming process. The main parameters of the loading path are selected as experimental factors for the methodology. The maximum thinning ratio of the inner and outer tubes, the maximum clearance between bi-layers, and the limit fillet radius of the top branch tube are used as test evaluation indicators. In accordance with effective evaluation indexes, perturbation plots, optimization evaluation criteria, and contour graphs, the relationship among the main influencing factors is analyzed and the process parameters of the optimal loading path are screened. Finally, a comparison between experimental results and simulation is made and shows that the error is within 6%, which indicates that the optimization method of the hydroforming process parameter in a bi-layered X-type tube has high feasibility.

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References

  1. Lin SY, Shih JC (2020) Effect study and better combination of process parameters for tube forming by a new processing technique of bending and hydroforming. J Chin Soc Mech Eng 41(6):745–753

    Google Scholar 

  2. Bell C, Corney J, Zuelli N, Savings D (2020) A state of the art review of hydroforming technology its applications, research areas, history, and future in manufacturing. Int J Mater Form 13(5):789–828. https://doi.org/10.1007/s12289-019-01507-1

    Article  Google Scholar 

  3. Guo XZ, Wei WB, Xu Y, Abd El-Aty A, Liu H, Wang H, Luo XY, Tao J (2019) Wall thickness distribution of Cu–Al bimetallic tube based on free bending process. Int J Mech Sci 150:12–19. https://doi.org/10.1016/j.ijmecsci.2018.10.013

    Article  Google Scholar 

  4. Chen MT, Xiao XT, Guo H, Tong JH (2018) Deformation behavior, microstructure and mechanical properties of pure copper subjected to tube hydroforming. Mater Sci Eng A 731:331–343. https://doi.org/10.1016/j.msea.2018.06.068

    Article  Google Scholar 

  5. Kucharska B, Moraczynsk O (2020) Exhaust system piping made by hydroforming: relations between stresses, microstructure, mechanical properties and surface. Arch Civil Mech Eng 20(4):141. https://doi.org/10.1007/s43452-020-00142-x

    Article  Google Scholar 

  6. Wang X, Li P, Wang R (2005) Study on hydroforming technology of manufacturing bimetallic CRA-lined pipe. Int J Mach Tools Manuf 45:373–378. https://doi.org/10.1016/j.ijmachtools.2004.09.015

    Article  Google Scholar 

  7. Abdessalem AB, Pagnacco E, El-Hami A (2013) Increasing the stability of T-shape tube hydroforming process under stochastic framework. Int J Adv Manuf Technol 69:1343–1357. https://doi.org/10.1007/s00170-013-5062-2

    Article  Google Scholar 

  8. Huang HG, Ji C, Dong YK, Du FS (2016) Design and flow field simulation of annular delivery device for solid-liquid cast-rolling bonding process of bimetallic clad pipe. Acta Mater Compos Sin 33:2246–2252. https://doi.org/10.13801/j.cnki.fhclxb.20160307.001

    Article  Google Scholar 

  9. Chen TT (2017) Environmental protection type double-layer automobile exhaust pipe [P]. CN201720712593.3

  10. Karami JS, Sheikhi MM, Payganeh G, Fard KM (2017) Experimental and numerical investigation of single and bi-layered tube hydroforming using a new sealing technique. Int J Adv Manuf Tech 92(9):4169–4182. https://doi.org/10.1007/s00170-017-0406-y

  11. Loh-Mousavi M, Mirhosseini AM, Amirian G (2011) Investigation of modified bi-layered tube hydroforming by pulsating pressure. Key Eng Mater 486:5–8

    Article  Google Scholar 

  12. Hossein Seyedkashi SM, Panahizadeh RV, Xu HB, Kim SY, Moon YH (2013) Process analysis of two-layered tube hydroforming with analytical and experimental verification. J Mech Sci Technol 27:169–175. https://doi.org/10.1007/s12206-012-1216-7

    Article  Google Scholar 

  13. Zhu HH, He ZB, Lin YL, Zheng KL, Fan XB, Yuan SJ (2020) The development of a novel forming limit diagram under nonlinear loading paths in tube hydroforming. Int J Mech Sci 172:105392. https://doi.org/10.1016/j.ijmecsci.2019.105392

    Article  Google Scholar 

  14. Huang TL, Song XW, Liu XY (2016) The multi-objective robust optimization of the loading path in the T-shape tube hydroforming based on dual response surface model. J Adv Manuf Technol 82(9):1595–1605. https://doi.org/10.1007/s00170-015-7494-3

    Article  Google Scholar 

  15. Islam MD, Olabi AG, Hashmi MSJ (2006) Feasibility of multi-layered tubular components forming by hydroforming and finite element simulation. J Mater Process Technol 174:394–398. https://doi.org/10.1016/j.jmatprotec.2006.02.016

    Article  Google Scholar 

  16. Teng B, Kai L, Yuan S (2013) Optimization of loading path in hydroforming T-shape using fuzzy control algorithm. J Adv Manuf Technol 69(5–8):1079–1086. https://doi.org/10.1007/s00170-013-5086-7

    Article  Google Scholar 

  17. Abdessalem AB, El-Hami A (2015) A probabilistic approach for optimising hydroformed structures using local surrogate models to control failures. Int J Mech Sci 96–97:143–162. https://doi.org/10.1016/j.ijmecsci.2015.04.002

    Article  Google Scholar 

  18. Brooghani SYA, Khalili K, Shahri SEE, Kang BS (2014) Loading path optimization of a hydroformed part using multilevel response surface method. J Adv Manuf Tech 70(5–8):1523–1531. https://doi.org/10.1007/s00170-013-5359-1

    Article  Google Scholar 

  19. Chen MT, Xiao XT, Tong JH, Guo H, Wen JP (2017) Optimization of loading path in hydroforming of parallel double branched tube through response surface methodology. Adv Eng Softw 115:429–438. https://doi.org/10.1016/j.advengsoft.2017.11.003

    Article  Google Scholar 

  20. Han C, Liu Q, Lu H, Gao GL, Xie WC, Yuan SJ (2018) Thickness improvement in hydroforming of a variable diameter tubular component by using wrinkles and preforms. J Adv Manuf Technol 99:2993–3003. https://doi.org/10.1007/s00170-018-2684-4

    Article  Google Scholar 

  21. Abrantes JP, Szabo-Ponce A, Batalha GF (2005) Experimental and numerical simulation of tube hydroforming (THF). J Mater Process Tech 164:1140–1147. https://doi.org/10.1016/j.jmatprotec.2005.02.117

  22. Huang Y, Tu ST, Xuan FZ (2013) Modeling and simulation of pit chemistry of 304 austenitic stainless steel under applied stress in sodium chloride solution. Nucl Eng Des 257:45–52. https://doi.org/10.1016/j.nucengdes.2013.01.019

    Article  Google Scholar 

  23. Zhao H, Qian X (2012) Simulation analysis on structure safety of two typical refuge chamber shell forms under explosion load. Procedia Eng 45:910–915. https://doi.org/10.1016/j.proeng.2012.08.258

    Article  Google Scholar 

  24. Fiorentino A, Ceretti E, Giardini C (2013) Tube hydroforming compression test for friction estimation-numerical inverse method, application, and analysis. Int J Adv Manuf Technol 64:695–705. https://doi.org/10.1007/s00170-012-4044-0

    Article  Google Scholar 

  25. Olabi AG, Benyounis KY, Hashmi MSJ (2010) Application of response surface methodology in describing the residual stress distribution in CO2 laser welding of AISI304. Strain 43:37–46. https://doi.org/10.1111/j.1475-1305.2007.00305.x

    Article  Google Scholar 

  26. Yuan SJ (2010) Lightweight forming technologies. National Defense Industry Press, China, pp 20–21

    Google Scholar 

  27. Fiorentino A, Ginestra PS, Attanasio A, Ceretti E (2020) Numerical optimization of the blank dimensions in tube hydroforming using line-search and bisection methods. Materials 13:945. https://doi.org/10.3390/ma13040945

    Article  Google Scholar 

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Funding

This work was financially supported by National Key R & D Program of China (Grant No. 2018YFA0707302/04, Grant No. 2017YFB0305000/04).

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Contributions

FY: Conceptualization and writing-review and editing. LZ: Writing-original draft preparation and data curation. LZ: Conceptualization and methodology, supervision and project administration. WQ: Carried out relevant tests.

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Correspondence to Yingying Feng.

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Appendix A

Appendix A

See Tables 5, 6, 7, 8, 9.

Table 5 Experimental design and simulation results of RSM
Table 6 ANOVA for Y1
Table 7 ANOVA for Y2
Table 8 ANOVA for Y3
Table 9 ANOVA for Y4

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Feng, Y., Liu, Z., Luo, Z. et al. Application of RSM in optimization of bi-layered X-type tube hydroforming. Int J Adv Manuf Technol 118, 3059–3077 (2022). https://doi.org/10.1007/s00170-021-08140-w

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  • DOI: https://doi.org/10.1007/s00170-021-08140-w

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