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Knowledge-based substep deterministic optimization of large diameter thin-walled Al-alloy tube bending

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Abstract

Regarding increasing applications with mass quantities, diverse specifications, and close quality tolerance, the precision bending of large diameter thin-walled (LDTW) Al-alloy tube should be efficiently achieved. However, bending of LDTW Al-alloy tube is a highly tri-nonlinear process with possible multi-defect, needing strict coordination of various bending tools and processing parameters. Considering the coupling effects of various forming parameters on multiple defects, this study developed a knowledge-based substep methodology to solve the deterministic optimization of LDTW Al-alloy tube bending with multi-objective and multi-variable under multiple factor constraints. Considering narrow forming window under small bending radii (R b < 2D, R b—bending radius, D—initial tube diameter), a finite element (FE)-based stepwise iterative search method is proposed to optimize key forming parameters of LDTW Al-alloy tube under small R b, and the search direction is based on bending knowledge. While for large R b bending with wide optional ranges of forming parameters, a hybrid optimization approach is used by combining virtual design of experiment, FE simulation, approximate response surface model, sequential quadratic programming algorithm, or genetic algorithm. Using orthogonal experimental method, three-dimensional (3D)-FE simulation, experiential data, and analytical formulae, knowledge on key forming parameters, coupling effects on multiple defects, effect significance, and design rules are obtained as well as initial values and design ranges. By several practical bending scenarios with D up to 100 mm, the proposed substep deterministic optimization methodology for LDTW Al-alloy tube bending is evaluated.

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References

  1. Yang H, Li H, Zhang ZY, Zhan M (2012) Advances and trends on tube bending forming technologies. Chinese J Aeronaut 25:1–12

    Article  Google Scholar 

  2. Li H, Yang H, Yan J, Zhan M (2009) Numerical study on deformation behaviors of thin-walled tube NC bending with large diameter and small bending radius. Comp Mater Sci 45(4):921–934

    Article  Google Scholar 

  3. Jin Z, Luo S, Fang XD (2001) KBS-aided design of tube bending process. Eng Appl Artif Intel 14:599–606

    Article  Google Scholar 

  4. Strano M (2005) Automatic tooling design for rotary draw bending of tubes. Int J Adv Manuf Technol 26:733–740

    Article  Google Scholar 

  5. Johansson J (2006) Automated design of tools for rotary draw bending: an approach based on generic CAD-models driven by heuristic and algorithmic knowledge. Efficiency Development of Manufacturing Machines 2006; 6(3): 86–96. In: International Conference on Efficient Development of Manufacturing Machines and Processes. Wroclaw, Poland

  6. Beauchesne E, Safieddine M, Marin G, Herbay E (2007) Sensitivity analysis and optimization of tube bending coupled with pressure test. AIP Conf Proc 908:461–466

    Article  Google Scholar 

  7. Kim J, Chung KH, Lee W, Kong J, Ryu H, Kim D, Kim C, Wenner ML, Chung K (2009) Optimization of boost condition and axial feeding on tube bending and hydro-forming process considering formability and spring-back. Met Mater Int 15(5):863–876

    Article  Google Scholar 

  8. Lăzărescu L 2010. FE simulation and response surface methodology for optimization of tube bending process. The Annals of “Dunărea de Jos” University of Galaţi Fascicle V, Technologies in Mechanical Engineering, ISSN 1221-4566 93-100

  9. Mentella A, Strano M, Gemignani R (2008) A new method for feasibility study and determination of the loading curves in the rotary draw-bending process. Int J Mater Form 1:165–168

    Article  Google Scholar 

  10. Ankur K (2008) Optimizing the rotary draw tube bending process to avoid wrinkles. Int J Modelling Simul 28(3):281–291

    Google Scholar 

  11. Xu J, Yang H, Zhan M, Li H (2011) Design and optimisation of mandrel parameters for thin walled aluminium alloy tube NC bending. Mater Res Innov 15:s365–s369

    Article  Google Scholar 

  12. Xu J, Yang H, Li H, Li H (2012) Significance-based optimization of processing parameters for thin-walled aluminum alloy tube NC bending with small bending radius. Trans Nonferrous Met Soc China 22:147–156

    Article  Google Scholar 

  13. Skrikerud M (2007) Optimization in Tube Forming. Forming Technology Forum 2007—Application of Stochastics and Optimization Methods. March 14–15, IVP, ETH Zurich, Switzerland

  14. Hwang HY, Jung KJ, Kang IM, Kim MS, Park SI, Kim JH (2006) Multidisciplinary aircraft design and evaluation software integrating CAD, analysis, database, and optimization. Adv Eng Software 37(5):312–326

    Article  Google Scholar 

  15. Jansson T, Nilsson L (2006) Optimizing sheet metal forming processes—using a design hierarchy and response surface methodology. J Mater Process Technol 178:218–233

    Article  Google Scholar 

  16. An H, Green DE, Johrendt J (2010) Multi-objective optimization and sensitivity analysis of tube hydroforming simulations. Int J Adv Manufact Technol 50(1–4):67–84

    Article  Google Scholar 

  17. Bahloul R, Mkaddem A, Santo PD, Potiron A (2006) Sheet metal bending optimisation using response surface method, numerical simulation and design of experiments. Int J Mech Sci 48(9):991–1003

    Article  MATH  Google Scholar 

  18. Li H, Yang H, Liu K (2012) Towards an integrated robust and loop tooling design for tube bending. Int J Adv Manuf Technol. doi:10.1007/s00170-012-4258-1

  19. Selvakumar S, Arulshri KP, Padmanaban KP, Sasikumar KSK (2012) Design and optimization of machining fixture layout using ANN and DOE. Int J Adv Manuf Technol. doi:10.1007/s00170-012-4281-2

  20. SAE Aerospace, An SAE International Group. Aircraft Tube Bending Methods, Techniques and Tooling. Aerospace information report. Air5378, issued 1999-12, reaffirmed 2004-06

  21. Li H, Yang H, Zhan M, Gu RJ (2007) The interactive effects of wrinkling and other defects in thin-walled tube NC bending process. J Mater Process Technol 187–188:502–507

    Article  Google Scholar 

  22. Li H, Yang H, Zhan M, Sun ZC, Gu RJ (2007) Role of mandrel in NC precision bending process of thin-walled tube. Int J Mach Tool Manuf 47(7–8):1164–1175

    Google Scholar 

  23. Bend Tooling Inc (2007) Bending formulas. http://www.bendtooling.com/bending_formulas.htm

  24. Oliveira DA, Worswick MJ, Grantab R (2005) Effect of lubricant in mandrel rotary draw tube bending of steel and aluminum. Can Metall Quart 44:71–78

    Article  Google Scholar 

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Authors and Affiliations

  1. State Key Laboratory of Solidification Processing, School of Materials Science, Northwestern Polytechnical University, Xi’an, 710072, China

    H. Li, H. Yang, J. Xu, H. Liu & D. Wang

  2. Chengdu Aircraft Industry (Group) Corporation Ltd, Chengdu, 610092, China

    G. J. Li

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  1. H. Li
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  2. H. Yang
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  3. J. Xu
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  4. H. Liu
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  5. D. Wang
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  6. G. J. Li
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Correspondence to H. Li.

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Li, H., Yang, H., Xu, J. et al. Knowledge-based substep deterministic optimization of large diameter thin-walled Al-alloy tube bending. Int J Adv Manuf Technol 68, 1989–2004 (2013). https://doi.org/10.1007/s00170-013-4811-6

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  • DOI: https://doi.org/10.1007/s00170-013-4811-6

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