Skip to main content
Log in

A Numerical Approach for Predicting the Springback of Intersecting High-Stiffened Integral Panel in Spherical Die Forming

  • Regular Paper
  • Published:
International Journal of Precision Engineering and Manufacturing Aims and scope Submit manuscript

Abstract

Taking advantage of the high specific strength, structural efficiency, and rigidity of spherical multi-intersecting high-stiffened integral panels, they have been used on a manned space station as the main load-bearing structure. Due to their large size and complex structure, a new incremental die forming approach was proposed, where the panel is pressed by a relatively small die at devised positions multiple times in proper order. However, the springback behavior of the panel after each depression is extremely complicated due to the interactions between multi-intersecting ribs. In this paper, a numerical approach of springback prediction for a typical intersecting stiffened panel in spherical die forming was proposed and the corresponding algorithm was developed. The approach quantifies the influence between multi-intersecting ribs by a novel definition of a bending neutral layer on the panel: the 3-D springback of whole panel is equivalent to the 2-D springback of the ribs. The strain component led by skin deformation and its elastic release are considered. A plasticity model with a nonlinear strain hardening of material was adopted. The approach was employed to predict the springback of panels with different forming radii, different rib sizes, and local large-rigidity structures. A rapid springback compensation based on the approach was achieved. The calculated results are in strong agreement with the results of FEM simulations based on ABAQUS software and experiments, accurately predicting profiles error within 2 mm.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5
Fig. 6
Fig. 7
Fig. 8
Fig. 9
Fig. 10
Fig. 11
Fig. 12
Fig. 13
Fig. 14
Fig. 15
Fig. 16
Fig. 17
Fig. 18
Fig. 19
Fig. 20
Fig. 21
Fig. 22
Fig. 23
Fig. 24
Fig. 25
Fig. 26
Fig. 27

Similar content being viewed by others

References

  1. Zeng, Y. S., & Huang, X. (2008). Forming technology of large integral panel. Acta Aeronautica et Astronautica Sinica, 3, 721–727.

    Google Scholar 

  2. Wang, X. F., Guo, X. L., Chen, G. N., & Jürgen, S. (2008). Remark of integral panel forming. Modern Manufacturing Technology and Equipment, 3, 1–4.

    Google Scholar 

  3. Li, W. D., Wan, M., & Yan, Y. (2014). Neutral layer and springback analysis in press bend forming of aircraft integral panels. Journal of Plasticity Engineering, 21(5), 156–161.

    Google Scholar 

  4. Kosel, F., Videnic, T., Kosel, T., & Brojan, M. (2011). Elasto-plastic springback of beams subjected to repeated bending/unbending histories. Journal of Materials Engineering and Performance, 20(6), 846–854.

    Article  Google Scholar 

  5. Wang, A. H., Xue, H. Q., Saud, S., Yang, Y. L., & Wei, Y. G. (2019). Improvement of springback prediction accuracy for Z-section profiles in four-roll bending process considering neutral layer shift. Journal of Manufacturing Processes, 48, 218–227.

    Article  Google Scholar 

  6. Li, F. F., Wu, J. J., Li, Y., Zhang, Z. K., & Wang, Y. A. (2016). A new calculating method to perform springback predictions for varied curvature sheet bending based on the B-spline function. International Journal of Mechanical Sciences, 113, 71–80.

    Article  Google Scholar 

  7. Yu, T. X., Johnson, W., & Stronge, W. J. (1984). Stamping and springback of circular plates deformed in hemispherical dies. International Journal of Mechanical Sciences, 26(2), 131–148.

    Article  Google Scholar 

  8. Xue, P., Yu, T. X., & Chu, E. (1999). Theoretical prediction of the springback of metal sheets after a double-curvature forming operation. Journal of Materials Processing Technology, 89, 65–71.

    Article  Google Scholar 

  9. Xue, P., Yu, T. X., & Chu, E. (2001). An energy approach for predicting springback of metal sheets after double-curvature forming, Part I: Axisymmetric stamping. International Journal of Mechanical Sciences, 43(8), 1893–1914.

    Article  Google Scholar 

  10. Xue, P., Yu, T. X., & Chu, E. (2001). An energy approach for predicting springback of metal sheets after double-curvature forming, Part II: Unequal double-curvature forming. International Journal of Mechanical Sciences, 43(8), 1915–1924.

    Article  Google Scholar 

  11. Prior, A. M. (1994). Applications of implicit and explicit finite element techniques to metal forming. Journal of Materials Processing Technology, 45(6), 649–656.

    Article  Google Scholar 

  12. Li, J. (2017). Research on buckling of 7B04 aluminum alloy integral panel using multi-point dies. Jilin University.

  13. Liao, X. (2015). Analysis for the stabilization of integral panel ribs under the multistage incremental and aging forming. Wuhan University of Technology.

  14. Lee, S. (2005). A study on the bi-directional springback of sheet metal stamping. Journal of Materials Processing Technology, 167(1), 33–40.

    Article  Google Scholar 

  15. Lepadatu, D., Hambli, R., Kobi, A., & Barreau, A. (2005). Optimisation of springback in bending processes using FEM simulation and response surface method. The International Journal of Advanced Manufacturing Technology, 27(1–2), 40–47.

    Article  Google Scholar 

  16. Li, K. P., Carden, W. P., & Wagoner, R. H. (2002). Simulation of springback. International Journal of Mechanical Sciences, 44(1), 103–122.

    Article  Google Scholar 

  17. Xu, W. L., Ma, C. H., Li, C. H., & Feng, W. J. (2004). Sensitive factors in springback simulation for sheet metal forming. Journal of Materials Processing Technology, 151(1–3), 217–222.

    Article  Google Scholar 

  18. Lee, J., Lee, J., Lee, M., & Barlat, F. (2012). An application of homogeneous anisotropic hardening to springback prediction in pre-strained U-draw/bending. International Journal of Solids and Structures, 49(25), 3562–3572.

    Article  Google Scholar 

  19. Zajkani, A., & Hajbarati, H. (2017). An analytical modeling for springback prediction during U-bending process of advanced high-strength steels based on anisotropic nonlinear kinematic hardening model. The International Journal of Advanced Manufacturing Technology, 90(1–4), 349–359.

    Article  Google Scholar 

  20. Zang, S., Lee, M., & Hoon, K. J. (2013). Evaluating the significance of hardening behavior and unloading modulus under strain reversal in sheet springback prediction. International Journal of Mechanical Sciences, 77, 194–204.

    Article  Google Scholar 

  21. Li, W. D., & Wan, M. (2014). Press bending equivalent simulation model of integrally reinforce panel. Journal of Beihang University, 40(11), 1537–1542.

    Google Scholar 

  22. Yan, Y., Wan, M., & Wang, H. B. (2009). FEM equivalent model for press bend forming of aircraft integral panel. Transactions of Nonferrous Metals Society of China, 19(2), 414–421.

    Article  Google Scholar 

  23. Wagoner, R. H., & Li, M. (2007). Simulation of springback: Through-thickness integration. International Journal of Plasticity, 23(3), 345–360.

    Article  Google Scholar 

  24. Gan, W., & Wagoner, R. H. (2004). Die design method for sheet springback. International Journal of Mechanical Sciences, 45(7), 1097–1113.

    Article  Google Scholar 

Download references

Acknowledgements

The authors would like to acknowledge the funding support to this research by the project of No. U1737101 from the National Natural Science Foundation of China

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Weidong Li.

Ethics declarations

Conflicts of interest

The authors declared that they have no conflicts of interest to this work.

Data Availability

All data generated or analyzed during this study are available from the corresponding author.

Code Availability

The custom codes are available from the corresponding author on reasonable request.

Additional information

Publisher's Note

Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

He, Q., Li, W., Wan, M. et al. A Numerical Approach for Predicting the Springback of Intersecting High-Stiffened Integral Panel in Spherical Die Forming. Int. J. Precis. Eng. Manuf. 23, 593–608 (2022). https://doi.org/10.1007/s12541-022-00642-1

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s12541-022-00642-1

Keywords

Navigation