National University of Science and Technology “MISIS” (Moscow, Russia)

M. N. Skripalenko, Cand. Eng., Associate Prof., Dept. of Metal Forming, e-mail: tfsmn@yandex.ru
V. A. Fadeev, Associate Prof., Dept. of Metal Forming, e-mail: fdv_viktor@mail.ru
M. M. Skripalenko, Cand. Eng., Associate Prof., Dept. of Metal Forming, e-mail: mms@misis.ru

“DKN-T” JSC (Moscow, Russia)

G. P. Zhigulev, Cand. Eng., Associate Prof., e-mail: aldebaran2000@mail.ru

Technique for detection of optimal parameters during tube billet forming process was designed. These parameters are mentioned: bending roller displacement (Δh) and distance between centers of back-up rolls (L). The objective was to detect such values of these parameters which ensure minimum value of bending moment while tube billet forming with specified inner radius using PBT 25 machine. Using of the developed technique is shown by the example of detecting Δh (bending roller displacement) and L (distance between centers of bearing rollers) by the criterion of minimum bending moment while forming of steel sheet into tube billet with 191.42 mm inner diameter. Technological and design restrictions, which were applied during detection of desirable parameters, including maximum displacement at preset values of diameters of bending and back-up rolls, are presented. Taking into account these restrictions, L was varied within the range 195–250 mm and then Δh were calculated at the preset inner radius of the tube billet. Range of possible combinations of Δh and L, which provide obtaining of preset tube billet radius, was calculated considering maximal allowable bending roller displacement. Optimal values for the range of allowable values of Δh and L in concordance with the criterion of minimum bending moment were detected. Indirect estimation of the optimal values of Δh and L calculation results was done by checking the hydraulic pressure of PBT 25 bending machine. Regression equation was obtained on the basis of complete factorial experiment as a result of this indirect estimation. This regression equation links hydraulic pressure with Δh and L forming process parameters.

1. Kagzi S. A., Raval H. K. An analysis of forces during three roller bending process. Int. J. Mater. Prod. Tec. 2015. Vol. 51 (3). pp. 48–263. DOI: 10.1504/IJMPT.2015.072245
2. Ilyichev V. G. Features of roll forming in tube billet production. Chernye metally. 2017. No. 9. pp. 63–68.
3. Gandhi A. H. et al. Formulation of springback and machine setting parameters for multi-pass three-roller cone frustum bending with change of flexural modulus. International Journal of Material Forming. 2009. No. 2. pp. 45–57.
4. Skorokhodov A. N., Polukhin P. I., Ilyukovich B. M. et al. Optimization of rolling production. Moscow : Metallurgiya. 1983. 432 p.
5. Technical directives. Calculation of forces in the rolls of threeand four-roller sheet bending machines. (Specifications and guidelines). RTM 26, 123-73. Volgograd : VNIIPTkhimnefteapparatura. 1973. 53 p.
6. Chudasama M. K., Raval H. K. Development of Analytical Model of Bending Force during 3-Roller Conical Bending Process and Its Experimental Verification. International Journal of Mechanical Engineering and Robotics Research. 2013. Vol. 7. No. 11. pp. 2362–2370.
7. Zhang W., Zhao G., Zhai Z. et al. Calculation method of spatial configuration of tube billet in roll forming process of a high strength steel drive shaft tube. Int. J. Adv. Manuf. Technol. 2018. Vol. 97. pp. 3339–3358. DOI: 10.1007/s00170-018-2209-1
8. Zhigulev G.P., Skripalenkо M.N., Fadeev V. A. et al. Modeling of Deformation Zone during Plate Stock Molding in Three-Roll Plate Bending Machine. Metallurgist. Vol. 64. pp. 348–355. DOI: 10.1007/s11015-020-01002-y
9. Zhigulev G. P., Skripalenko M. M., Fadeev V. A., Skripalenko M. N., Danilin V. N.. Modelling of the sheet forming while 3-roller bending process. CIS Iron and Steel Review. 2022. Vol. 23. pp. 45–49.
10. Hochpräzise Profilbiegemaschinen für anspruchsvollste Anwendungen. www.pbt-ag.com (reference date 12.02.2023).
11. Cistyakov A. D., Chistyakov I. D. Predictions of parameters of technological equipment. Rostov-na-Donu: Izdatelskiy tsentr DGTU. 2003. 113 p.
12. Matveev Yu. M. Theoretical grounds of production of welded tubes. Мoscow: Metallurgiya. 1967. 168 p.
13. Antony J. Design of Experiments for Engineers and Scientists. Oxford: Butterworth Heinemann. 2003, 1st edition. 190 p.
14. Bondar A. G., Statyukha G. A. Experiment planning in chemical technology. Мoscow : Vysshaya shkola. 1976. 184 p.
15. Prokopenko N. Yu. Optimization methods. Nizhniy Novgorod : NNGASU. 2018. 118 p.