A machining position optimization approach to workpiece deformation control for aeronautical monolithic components


During high-speed machining of aeronautical monolithic components, the initial residual stresses will cause the workpiece deformations with the removal of material. Therefore, it is crucial to investigate the prediction and control of workpiece deformations for the achievement of a machining process with high efficiency and precision. Above all, the mechanical model is established for the deformation analysis of 7075 aluminum alloy aeronautical monolithic components. Based on the formulated theoretical model, the finite element model is also suggested for the solution of the workpiece deformation. The comparison between the calculated values and the simulated results shows that they are in good agreement with each other. Subsequently, the presented method is adopted to reveal the fact that the different machining positions will cause different workpiece deformations. The deformation experiments are carried out at two machining positions of the workpiece. The measurement results show that whether for the amplitude or the deformation curve, the simulated results are in accordance with the measured data. The relative errors of two groups of data are 9.26% at position 16.5 mm and 19.66% at position 9 mm. Finally, an optimal model is created for the minimum deformation as well as the corresponding step decrease iterative solution method so that the proper machining position is achieved when the step is within the given threshold value. In comparison with the middle position method which is usually adopted by the enterprises, the optimal machining position, obtained by the presented step decrease iterative method, can decrease machining deformations by 99.79%.

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  1. 1.

    Dong RQ (2004) Numerical simulation of distortions resulted from residual stresses in aircraft aluminum parts. Zhejiang University of Technology, Hangzhou

    Google Scholar 

  2. 2.

    Liu JS, Xu Y, Zhang SH, Zeng YS, Wu W, Zhang XH, Wang ZT, Ren LM (2003) Finite element simulation of stress and strain on the incremental bend forming technology of the integral wing-skin panel. J Plasticity Eng 10(5):42–45

    Google Scholar 

  3. 3.

    Lu J, Retraint D (1998) A review of recent developments and applications in the field of X-ray diffraction for residual stress studies. J Strain Anal 33(2):127–136

    Article  Google Scholar 

  4. 4.

    Zheng L, Che LC, Zhang J, Zhang PC, He CG, Peng ZK, Xiao Y, Feng XH, Zhu L (2014) Internal residual stress and texture homogenization in pre-stretch aluminum alloy plates. J Netshape Forming Eng 5:50–58

    Google Scholar 

  5. 5.

    Huang XM, Sun J, Li JF, Han X, Xiong QC (2013) An experimental investigation of residual stresses in high-speed end milling 7050-T7451 aluminum alloy. Adv Mech Eng 2013:1–7

    Google Scholar 

  6. 6.

    Wan M, Ye XY, Yang Y, Zhang WH (2017) Theoretical prediction of machining-induced residual stresses in three-dimensional oblique milling processes. Int J Mech Sci 133:426–437

    Article  Google Scholar 

  7. 7.

    Yuan MD, Kang T, Zhang JH, Song SJ, Kim HJ (2013) Numerical simulation of ultrasonic minimum reflection for residual stress evaluation in 2D case. J Mech Sci Technol 27(11):3207–3214

    Article  Google Scholar 

  8. 8.

    Song WT, Xu CG, Pan QX, Song JF (2016) Nondestructive testing and characterization of residual stress field using an ultrasonic method. Chin J Mech Eng 29(2):365–371

    Article  Google Scholar 

  9. 9.

    Belassel M, Pineault J, Brauss M (2004) Application of X-ray diffraction for residual stress determination in mechanical components. ASME International Mechanical Engineering Congress & Exposition

  10. 10.

    Shang ZY (2015) Application of electrolytic corrosion in HSS residual stress measurement. Tool Eng 49(7):104–106

    Google Scholar 

  11. 11.

    Niku-Lari A, Lu J (1985) Flavenot J F. Measurement of residual stress distribution by the increment hole-drilling method. J Mech Work Technol 11(2):167–188

    Article  Google Scholar 

  12. 12.

    Liu LL, Fan LX, Dong XH (2012) Study on measurement of residual stresses in forged barrel surface. Acta Armamentarii 33(6):712–717

    Google Scholar 

  13. 13.

    Tang ZT, Liu ZQ, Ai X, Wan Y (2007) Measuring residual stresses depth profile in pre-stretched aluminum alloy plate using crack compliance method. Chin J Nonferrous Metals 17(9):1404–1409

    Google Scholar 

  14. 14.

    Chantzis D, Van-der-Veen S, Zettler J, Sim WM (2013) An industrial workflow to minimise part distortion for machining of large monolithic components in aerospace industry. Procedia CIRP 8:281–286

    Article  Google Scholar 

  15. 15.

    Sim W (2010) Challenges of residual stresses and part distortion in the civil airframe industry. Int J Microstruct Mater Prop 5:446–455

    Google Scholar 

  16. 16.

    Izamshah R, Mo JPT, Ding S (2012) Hybrid deflection prediction on machining thin-wall monolithic aerospace components. Proc Inst Mech Eng B J Eng Manuf 226(4):592–605

    Article  Google Scholar 

  17. 17.

    Sun J, Ke YL (2005) Study on machining distortion of unitization airframe due to residual stress. Chin J Mech Eng 41(2):117–122

    Article  Google Scholar 

  18. 18.

    Tang ZT, Yu T, Xu LQ, Liu ZQ (2013) Machining deformation prediction for frame components considering multifactor coupling effects. Int J Adv Manuf Technol 68(1-4):187–196

    Article  Google Scholar 

  19. 19.

    Guo H, Zuo DW, Wang SH, Xu LL, Wang M (2005) Effect of tool path on milling accuracy under clamping. Transactions of Nanjing University of Aeronautics & Astronautics 22(3):234–238

    Google Scholar 

  20. 20.

    Huang ZG, Ke YL, Dong HY (2005) Finite element model of milling process sequence for frame monolithic components. J Zhejiang Univ 39(3):368–372

    Google Scholar 

  21. 21.

    Zhang YD, Zhang HW (2009) Finite element simulation of machining deformation for aeronautical monolithic component [J]. Journal of Beijing University of Aeronautics and Astronautics 35(2):188–192

    Google Scholar 

  22. 22.

    Yang Y, Li M, Li K (2014) Comparison and analysis of main effect elements of machining distortion for aluminum alloy and titanium alloy aircraft monolithic component. Int J Adv Manuf Technol 70(9-12):1803–1811

    Article  Google Scholar 

  23. 23.

    Cerutti X, Arsene S, Mocellin K (2016) Prediction of machining quality due to the initial residual stress redistribution of aerospace structural parts made of low-density aluminium alloy rolled plates. Int J Mater Form 9(5):677–690

    Article  Google Scholar 

  24. 24.

    Huang XM, Sun J, Li JF (2015) Finite element simulation and experimental investigation on the residual stress-related monolithic component deformation [J]. Int J Adv Manuf Technol 77(5):1035–1041

    Article  Google Scholar 

  25. 25.

    He N, Yang YF, Li L, Zhao W (2009) Machining deformation of aircraft structure and its control. Aeronautical Manuf Technol 6:32–35

    Google Scholar 

  26. 26.

    Lu LX (2018) Investigation on the mechanism and method of rolling distortion correcting for aeronautical beam components made of aluminum alloy. Shangdong University, Jinan

    Google Scholar 

  27. 27.

    Wan M, Zhang WH, Tan G (2007) Efficient simulation model of material removal in peripheral milling of thin-walled workpiece. ACTA Aeronautica ET Astronautica Sinica 28(5):1247–1251

    Google Scholar 

  28. 28.

    Prime MB, Hill MR (2006) Uncertainty, model error, and order selection for series-expanded, residual-stress inverse solutions. J Eng Mater Technol 128(2):175–185

    Article  Google Scholar 

  29. 29.

    Huang XM, Sun J, Zhou CA, Li JF (2014) Development of simulation system for compliance function and residual stress measurement for Al 2124-T851 plate. Procedia CIRP 57:591–594

    Article  Google Scholar 

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This work is supported by the National Natural Science Foundation of China (Grant No. 51765047), the Major Discipline Academic and Technical Leader Training Plan Project of Jiangxi Province (Grant No. 20172BCB22013), the Key Research and Development Plan Project of Jiangxi Provincial Science and Technology Department (Grant No. 20192BBEL50001), the Science and Technology Plan Project of Jiangxi Provincial Education Department (Grant No. GJJ170527), the Advantage Technology Innovation Team of Jiangxi Province (Grant No. 20181BCB24007), the Characteristic Innovation Projects of Guangdong Provincial Education Department (Grant No. 2017GKTSCX102), and the School-Enterprise Collaboration Project (Grant No. (16)-025).

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Correspondence to Qin Guohua or Zuo Dunwen.

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Wang Huamin is a co-first author.

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Haichao, Y., Guohua, Q., Huamin, W. et al. A machining position optimization approach to workpiece deformation control for aeronautical monolithic components. Int J Adv Manuf Technol 109, 299–313 (2020). https://doi.org/10.1007/s00170-020-05588-0

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  • Aluminum alloy thick plate
  • Residual stress
  • Aeronautical monolithic component
  • Machining deformation
  • Step decrease iterative algorithm