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Springback prediction model and its compensation method for the variable curvature metal tube bending forming

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Abstract

Metal tube (MT) is widely used in aerospace, marine, and vehicle fields. Springback problems on MTs during bending forming would seriously affect the forming accuracy while the springback prediction and compensation method can effectively improve the accuracy. This paper proposes a springback prediction model for variable curvature tube, which is based on the theoretical formula of the springback angle prediction of the fixed curvature tube. The curvature radius of any point on the tube central axis curve after springback can be calculated through this model. Combined with the curve Frenet formula, the functional relationship, which is between the springback of the variable curvature tube and the original parameter equation of its central axis, is established. Based on the springback prediction model, the bending compensation amount of the variable curvature tube can be obtained through the reverse process. The tube curve equation containing the compensation amount is obtained as well, which is used to compensate for the springback error of the metal tube bending forming to improve the bending forming precision. To verify the correctness of the proposed model, experiments for both fixed curvature MT and variable curvature MT were carried out. The results showed that the proposed method was good at variable curvature MT springback prediction.

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All data generated or analyzed during this study are included in this published article.

References

  1. Al-Qureshi HA (1999) Elastic-plastic analysis of tube bending. Int J Mach Tool Manu 39(1):87–104

    Article  Google Scholar 

  2. Zhan M, Yang H, Huang L, Gu RJ (2006) Springback analysis of numerical control bending of thin-walled tube using numerical-analytic method. J Mater Process Technol 177(1-3):197–201

    Article  Google Scholar 

  3. E DX, Ning RX, Gu T (2009) Analysis on the elastic-plastic deformation during tube-bending process. J Ordnance Eng 30(10):1353–1356

    Google Scholar 

  4. Jia MH, Tang CT (2012) Springback prediction model on tube bending formation of stainless steel. J Beijing I Tech 9:34–38

    Google Scholar 

  5. Cleveland RM, Ghosh AK (2002) Inelastic effects on springback in metals. Int J Plast 18(5):769–785

    Article  Google Scholar 

  6. Wang GX, Yang H, Li H, Zhan M, Gu RJ (2005) Experimental study of the influence of processing parameters on forming quality of thin-walled NC Bending Tube. Mech Sci Technol 8:117–120

    Google Scholar 

  7. Li H, Shi KP, He Y, Tian YL (2012) Springback law of thin-walled 6061-T4 Al-alloy tube upon bending. Trans Nonferrous Metal Soc 22:357–363

    Article  Google Scholar 

  8. Wang ZK, Yang H, Li H, Ren Y, Lu RD, Tian YL (2012) Springback laws of large diameter 316 L stainless steel tube in NC bending. Mater Sci Technol 20(4):49–54

    Google Scholar 

  9. Li H, Yang H, Song FF, Zhan M, Li GJ (2012) Springback characterization and behaviors of high-strength Ti–3Al–2.5 V tube in cold rotary draw bending. J Mater Process Technol 212(9):1973–1987

    Article  Google Scholar 

  10. Fang J, Lu S, Wang K (2018) Springback behaviors of high strength stainless steel tube after numerical control rotary draw bending. IOP Conf Ser Mater Sci Eng 423(1):012184

    Article  Google Scholar 

  11. Xue X, Liao J, Vincze G, Gracio JJ (2015) Modelling of mandrel rotary draw bending for accurate twist springback prediction of an asymmetric thin-walled tube. J Mater Process Technol 216:405–417

    Article  Google Scholar 

  12. Jiang ZQ, Yang H, Zhan M, Xu XD, Li GJ (2010) Coupling effects of material properties and the bending angle on the springback angle of a titanium alloy tube during numerically controlled bending. Mater Des 31(4):2001–2010

    Article  Google Scholar 

  13. Chatti S (2010) Effect of the elasticity formulation in finite strain on springback prediction. Comput Struct 88(11-12):796–805

    Article  Google Scholar 

  14. Li ZL (2011) NC Tube-bending forming quality analysis and numerical simulation system integration. Ph.D. Dissertation. Harbin University of Science and Technology, Dalian, China

  15. Shahin M, Elchalakani M (2008) Neural networks for modelling ultimate pure bending of steel circular tubes. J Constr Steel Res 64(6):624–633

    Article  Google Scholar 

  16. Liu JY, Tang CT, Ning RX (2009) The experimental study on the springback and BP NN prediction model of NC rotary-bending of tube. J Plast Eng 6:85–90

    Google Scholar 

  17. Megharbel AE, Nasser GAE, Domiaty AE (2008) Bending of tube and section made of strain-hardening materials. J Mater Process Technol 203(1-3):372–380

    Article  Google Scholar 

  18. Xue X, Liao J, Vincze G, Pereira AB (2018) Control strategy of twist springback for aluminium alloy hybrid thin-walled tube under mandrel-rotary draw bending. Int J Mater Form 11(2):311–323

    Article  Google Scholar 

  19. Zheng XS, Liu YL, Liu CM, Yang H (2017) Impact of springback on the cross-sectional deformation of H96 brass double-ridged rectangular tube in E-typed rotary draw bending. Int J Adv Manuf Technol 89:3451–3458

    Article  Google Scholar 

  20. Zhu YX, Liu YL, Yang H, Li HP (2014) Impact of pressure die on springback and section deformation of rotary-draw bending of rectangular H96 tube. J Nonferrous Metal 1:104–114

    Google Scholar 

  21. Xiong H, Ma YN, Zhou SJ, He Y, Yang XE, Jin K, Wang H, Luo XY, Guo XZ (2018) Free bending forming technology of three dimensional complex axis hollow component. J Plast Eng 25(01):100–110

    Google Scholar 

  22. Guo XZ, Ma YN, Chen WL, Xiong H, Xu Y, EI-Aty AA, Jin K (2018) Simulation and experimental research of the free bending process of a spatial tube. J Mater Process Technol 255:137–149

    Article  Google Scholar 

  23. Guo XZ, Xiong H, Xu Y, Ma YN, El-Aty AA, Tao J, Jin K (2018) Free-bending process characteristics and forming process design of copper tubular components. Int J Adv Manuf Technol 96(8):1–17

    Google Scholar 

  24. Shimada N, Tomizawa A, Kubota H, Mori H, Hara M, Kuwayama S (2014) Development of three-dimensional hot bending and direct quench technology. Procedia Eng 81:2267–2272

    Article  Google Scholar 

  25. Vatter PH, Plettke R (2013) Process model for the design of bent 3-dimensional free-form geometries for the three-roll-push-bending process. Procedia CIRP 7(5):240–245

    Article  Google Scholar 

  26. Chatti S, Hermes M, Tekkaya AE, Kleiner M (2010) The new TSS bending process: 3D bending of profiles with arbitrary cross-sections. CIRP Ann Manuf Technol 59(1):315–318

    Article  Google Scholar 

  27. Gantner P, Bauer H, Harrison DK, De Silva AKM (2005) Free-Bending—a new bending technique in the hydroforming process chain. J Mater Process Technol 167(2-3):302–308

    Article  Google Scholar 

  28. Goto H, Tanaka Y, Ichiryu K (2012) 3D tube forming and applications of a new bending machine with hydraulic parallel kinematics. Int J Autom Technol 6(4):509–515

    Article  Google Scholar 

  29. Bini D, Jantzen RT, Merloni A (1999) Geometric interpretation of the Frenet-Serret frame description of circular orbits in stationary axisymmetric spacetimes. Classical Quant Grav 16(4):1333

    Article  MathSciNet  Google Scholar 

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Funding

This work has been funded by the National Key R&D Program of China (2018YFB1700700), the National Natural Science Foundation of China (51905476), and the Key R&D Program of Zhejiang Province (2019C05SAB51751).

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Authors and Affiliations

  1. State Key Laboratory of Fluid Power and Mechatronic Systems, Zhejiang University, 310000, Hangzhou, People’s Republic of China

    Shuyou Zhang, Mengyu Fu, Zili Wang, Dingyu Fang & Huifang Zhou

  2. King-Mazon Co., Ltd., Lishui, China

    Weiming Lin

Authors
  1. Shuyou Zhang
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  2. Mengyu Fu
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  3. Zili Wang
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  4. Dingyu Fang
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  5. Weiming Lin
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  6. Huifang Zhou
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Contributions

Shuyou Zhang’s contributions are conceptualization; funding acquisition; formal analysis; investigation; and project administration. Mengyu Fu’s contributions are formal analysis; investigation; writing—original draft; software; data curation; and visualization. Zili Wang’s contributions are funding acquisition; project administration; methodology; formal analysis; supervision; visualization; and writing—review and editing. Weimin Lin’s contributions are investigation; resources; and validation. Dingyu Fang’s contributions are investigation; resources; and validation. Huifang Zhou’s contributions are investigation and resources.

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Correspondence to Zili Wang.

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Zhang, S., Fu, M., Wang, Z. et al. Springback prediction model and its compensation method for the variable curvature metal tube bending forming. Int J Adv Manuf Technol 112, 3151–3165 (2021). https://doi.org/10.1007/s00170-020-06506-0

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  • DOI: https://doi.org/10.1007/s00170-020-06506-0

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