Calculation of kinematic schemes taking into account tension during stretch-forming of thin-walled structures
| Authors: Bormotin K.S., Levchenko V.S. | Published: 20.03.2026 |
| Published in issue: #4(793)/2026 | |
| Category: Mechanics | Chapter: Solid Mechanics | |
| Keywords: elastic-plastic deformation, sheet stretch-forming process, tension force, finite element method, CAE systems |
One of the methods for producing single and double curvature skin parts is the stretch-forming process. Modern stretching presses have numerical control. To set the control program of the stretching press, it is necessary to construct an involute of the clamping jaws motion. As is known, for a tight fit of the workpiece on the punch during stretch-forming, it is necessary to set the tension. The distribution of tensile forces in the workpiece on the punch, taking into account friction, is uneven and can lead to unequal springback for different parts of the workpiece. The article presents a method for calculating the involute or trajectory of the T-600 press control elements motion of during sheet stretch-forming by simulating the workpiece deformation process in a CAE system. Tension is taken into account when simulating the sheet stretch-forming process. An analysis of the workpiece adjoining area dependence to the punch depending on the magnitude of the tension force is presented. It is proposed to take into account tension in combinations of boundary conditions when modeling the process of the workpiece deformation for calculating the trajectories of the press control elements movement for various stretch-forming schemes. The found trajectories are compared with the trajectories calculated geometrically. The proposed method for calculating deformation trajectories allows taking into account geometric and physical nonlinearity, correctly determining the level of deformations, stresses and choosing the optimal option.
EDN: AWWQQQ, https://elibrary/awwqqq
References
[1] Mikheev V.A., Baranova M.M., Tarasov V.A. et al. Solving the problem of shaping ai rcraft skin parts by wrapping through the internal geometry of the surface. Izvestiya Samarskogo nauchnogo tsentra RAN [Izvestia RAS SamSC], 2023, vol. 25, no. 4, pp. 5–12, doi: https://doi.org/10.37313/1990-5378-2023-25-4-5-12 (in Russ.).
[2] Krivenok A.A., Bormotin K.S., Burenin A.A. Formulation and solution of the optimizing problem the shaping of large-sized double curvature sheets under the conditions of pressing equipment kinematic limitations. Vestnik ChGPU im. I.Ya. Yakovleva. Ser. Mekhanika predelnogo sostoyaniya [Bulletin of the Yakovlev Chuvash State Pedagogical University. Series: Mechanics of Limit State], 2022, no. 3, pp. 63–74, doi: https://doi.org/10.37972/chgpu.2022.53.3.007 (in Russ.).
[3] Markovtsev V.A., Karpukhin E.G., Mikheev V.A. et al. Improvement of the processes of forming tight shells of double curvature. IOP Conf. Ser.: Mater. Sci. Eng., 2021, vol. 1155, art. 12014, doi: https://doi.org/10.1088/1757-899X/1155/1/012014
[4] Bormotin K.S., Burenin A.A., Krivenok A.A. On the optimization of the kinematic scheme for shaping thin elastoplastic coverings. Izvestiya RAN. MTT, 2022, no. 2, pp. 14–24, doi: https://doi.org/10.31857/S0572329922020064 (in Russ.). (Eng. version: Mech. Solids, 2022, vol. 57, no. 2, pp. 214–222, doi: https://doi.org/10.3103/S0025654422020030)
[5] Krupskiy R.F., Krivenok A.A., Stankevich A.V. et al. Shaping profile blanks at a sheet stretch-forming press. Uchenye zapiski Komsomolskogo-na-Amure gosudarstvennogo tekhnicheskogo universiteta [Scientific Notes of Komsomolsk-On-Amour State Technical University], 2013, vol. 1, no. 2, pp. 4–8. (In Russ.).
[6] Pogartseva M.M. Methodology of creating management programs for case presses used in the aviation industry. Sibirskiy zhurnal nauki i tekhnologiy [Siberian Journal of Science and Technology], 2017, vol. 18, no. 2, pp. 404–414. (In Russ.).
[7] Krivenok A.A., Burenin A.A. On the parallel kinematics of the FET stretching press in the stretch forming operations in the manufacture of parts with complex spatial geometry. Zhurnal SFU. Matematika i fizika [Journal of Siberian Federal University. Mathematics & Physics], 2021, vol. 14, no. 6, pp. 735–745, doi: https://doi.org/10.17516/1997-1397-2021-14-6-735-745
[8] Mikheev V.A., Grechnikova A.F., Alvarenga R.D. et al. The clamps of sheet blank movement trajectory simulation under the shell part stretch forming process. IOP Conf. Ser.: Mater. Sci. Eng., 2021, vol. 1181, art. 12016, doi: https://doi.org/10.1088/1757-899X/1181/1/012016
[9] Eliseev V.V., Khlivnenko L.V., Goltsev A.M. et al. Experimental determination of friction coefficient by stretch-forming method. Vestnik Voronezhskogo gosudarstvennogo tekhnicheskogo universiteta [Bulletin of Voronezh State Technical University], 2018, vol. 14, no. 6, pp. 135–139. (In Russ.).
[10] Lu K., Zou T., Luo J. et al. Stretch bending process design by machine learning. Int. J. Adv. Manuf. Technol., 2022, vol. 120, pp. 781–799, doi: https://doi.org/10.1007/s00170-021-08145-5
[11] Schmidt A. Numerical prediction and sequential process optimization in sheet forming based on genetic algorithm. Mater. Manuf. Process., 2011, vol. 26, no. 3, pp. 521–526, doi: https://doi.org/10.1080/10426914.2010.536926
[12] Grigoras C.C., Zichil V., Chirita B. et al. Adaptive stretch-forming process: a computer vision and statistical analysis approach. Machines, 2021, vol. 9, no. 12, art. 357, doi: https://doi.org/10.3390/machines9120357
[13] Pogartseva M.M. Issledovanie protsessov formoobrazovaniya detaley letatelnykh apparatov metodami izgiba s rastyazheniem i posleduyushchim udaleniem chasti materiala. Diss. kand. tekh. nauk [Study of the processes of shaping aircraft parts using bending with stretching and subsequent removal of part of the material. Kand. tech. sci. diss,]. Komsomolsk-na-Amure, KnAGU Publ., 2020. 186 p. (In Russ.).
[14] Surudin S.V. Razrabotka sposobov obtyazhki obvodoobrazuyushchikh obolochek dvoynoy krivizny primenitelno k pressam s programmnym upravleniem. Diss. kand. tekh. nauk [Development of methods for tightening double-curved casings as applied to CNC presses. Kand. tech. sci. diss.]. Samara, SGAU im. S.P. Koroleva Publ., 2016. 154 p. (In Russ.).
[15] Feoktistov S.I. Determination of tensile forces along the generatrix punch taking into account friction during bending with stretching. Uchenye zapiski Komsomolskogo-na-Amure gosudarstvennogo tekhnicheskogo universiteta [Scientific Notes of Komsomolsk-On-Amour State Technical University], 2021, no. 1, pp. 76–82, doi: https://doi.org/10.17084/20764359_2021_49_76 (in Russ.).
[16] Korobeynikov C.H. Nelineynoe deformirovanie tverdykh tel [Nonlinear deformation of solids]. Novosibirsk, Izd-vo SO RAN Publ., 2000. 261 p. (In Russ.).
[17] Wriggers P. Computational contact mechanics. Springer, 2006. 518 p.