Evaluation of stress–strain state in the combined process of straightening and strengthening of non-rigid cylindrical parts
https://doi.org/10.17073/0368-0797-2026-3-294-304
Abstract
The article examines the stress-strain state of flexible cylindrical parts during the combined process of straightening and strengthening with flat wedge plates. The relevance of the work is determined by the need to improve the geometric accuracy and operational reliability of long, low-rigid shafts subjected to significant deformations during manufacturing and heat treatment. The authors developed a new method for straightening and strengthening flexible cylindrical parts such as shafts and axles in a single technological operation. It is intended primarily for machining parts made of ductile metals and alloys. The objective of the study was to determine the permissible geometric values of curved cylindrical parts and rational technological parameters for the straightening and strengthening process with flat wedge plates. A theoretical model was developed during the study, which made it possible to determine the critical conditions for gripping and stable rotation of a cylindrical billet between the working surfaces of flat wedge plates. Based on the theoretical calculation, the permissible value of the billet initial deflection was determined, which should not exceed 4 mm over a length of 200 mm. To verify the theoretical data, computer simulations were conducted using the ANSYS software package. Using the finite element method, the process’s stable boundaries were clarified. The simulation results revealed that, to ensure the straightness of the billet axis without damaging the surface, the initial deflection should not exceed 3.5 mm over a length of 200 mm. An assessment of the distribution of residual stresses and plastic deformations revealed that the optimal relative reduction ratio is within the range of 1.3 – 1.5 %. The obtained results can be used in development of effective technologies for machining flexible cylindrical parts, contributing to improved performance and manufacturing accuracy.
About the Authors
S. A. ZaidesRussian Federation
Semen A. Zaides, Dr. Sci. (Eng.), Prof. of the Chair of Materials Science, Welding and Additive Technologies
83 Lermontova Str., Irkutsk 664074, Russian Federation
Bui Manh Dung
Russian Federation
Manh Dung Bui, Postgraduate of the Chair of Technology and Equipment for Mechanical Engineering Production
83 Lermontova Str., Irkutsk 664074, Russian Federation
References
1. Antimonov A.M., Pushkareva N.B., Reshetnikov E.G. Cylindrical shell edges bending process technological features. In: Proceedings of the 4th Int. Conf. on Industrial Engineering. ICIE 2018. Springer; 2019:811–817. https://doi.org/10.1007/978-3-319-95630-5_84
2. Muratkin G.V., Sarafanova V.A. Straightening of shafts by surface plastic deformation with elastic flexure of the workpiece. Russian Engineering Research. 2020;40(8):637–641. https://doi.org/10.3103/S1068798X20080183
3. Swic A., Gola A., Sobaszek L., Smidova N. A thermo-mechanical machining method for improving the accuracy and stability of the geometric shape of long low-rigidity shafts. Journal of Intelligent Manufacturing. 2021;32: 1939–1951. https://doi.org/10.1007/s10845-020-01733-4
4. Xing S. Analytical modeling for mechanical straightening process of case-hardened circular shaft. Applied Mechanics. 2023;4(2):715–728. https://doi.org/10.3390/applmech4020036
5. Lu H., Zang Y., Zhang X., Zhang Y., Li L. A general stroke-based model for the straightening process of D-type shaft. Processes. 2020;8(5):528. https://doi.org/10.3390/pr8050528
6. Dimov Yu.V. Formation of residual stresses during vibroabrasive machining of parts. Vestnik mashinostroeniya. 2024;103(10):821–828. (In Russ.). https://doi.org/10.36652/0042-4633-2024-103-10-821-828
7. Li S., Wei C., Long Y. Deformation analysis of engineering reinforcement straightening based on Bauschinger effect. International Journal of Steel Structures. 2020;20:1–12. https://doi.org/10.1007/s13296-019-00264-w
8. Hwang Y.M., Lin Y.Q., Cheng G. Roller plunge schedule and roller design in straightening of metal H-beams. International Journal of Advanced Manufacturing Technology. 2025;136:2245–2262. https://doi.org/10.1007/s00170-024-14942-5
9. Suslov A.G., etc. Technological Support and Improvement of Operational Properties of Parts and Their Connections. Moscow: Mashinostroenie; 2006:448. (In Russ.).
10. Muratkin G.V., Sarafanova V.A., Suvorov M.O. Improving on relaxation resistance of material by surface plastic straining methods. Tekhnologiya metallov. 2017;(7):19–26. (In Russ.).
11. Liu C., Dong Z., Ma L., Hou X., Qiao N. Research on optimization of basic rail top bending prediction model. Scientific Reports. 2024;14:9844. https://doi.org/10.1038/s41598-024-60583-9
12. Shinkin V.N. Calculation of steel sheet’s curvature under preliminary flattening on the seven-roller straightening machine. Izvestiya. Ferrous Metallurgy. 2016;59(12):870–874. (In Russ.). https://doi.org/10.17073/0368-0797-2016-12-870-874
13. Bezyazychnyi V.F. Effect of technological processing conditions on cold-work hardening depth in surface layer of part at machining by blade tool. Uprochnyayushchie tekhnologii i pokrytiya. 2019;15(8(176)):348–354. (In Russ.).
14. Lammi C.J., Lados D.A. Effects of residual stresses on fatigue crack growth behavior of structural materials: Analytical corrections. International Journal of Fatigue. 2008;33(7): 858–867. https://doi.org/10.1016/j.ijfatigue.2011.01.019
15. Zaides S.A., Bui M.Z. Method of straightening and strengthening of cylindrical parts. Patent RF no. 2827624 C1; Pybl. 30.09.2024.
16. Zaides S.A., Bui M.Z. Effect of geometrical parameters of cylindrical workpiece on stress-strain state when straightening of local area with flat plates. Tekhnologiya metallov. 2025;(3):28–38. (In Russ.). https://doi.org/10.31044/1684-2499-2025-0-3-28-38
17. Sun J., Li K., Sun M., Lu X., Peng Y. Longitudinal profiled plate straightening process based on curvature integral method. Journal of Iron and Steel Research International. 2021;28:291–302. https://doi.org/10.1007/s42243-020-00538-2
18. Zaides S.A., Bui M.Z., Ponomarev B.B. Straightening of a local section of cylindrical parts before rolling with smooth plates. Vestnik of Nosov Magnitogorsk State Technical University. 2024;22(3):71–80. (In Russ.). https://doi.org/10.18503/1995-2732-2024-22-3-71-80
19. Meng Q., Zhai R., Fu P., Zhang Y., Zhao J. Springback analysis of rotary bending considering strain paths. Journal of Materials Processing Technology. 2023;315:117930. https://doi.org/10.1016/j.jmatprotec.2023.117930
20. Zaides S.A., Bui M.Z. Determination of the stress state in the deformation zone when rolling rotation of a carbon steel workpiece at a local site. Chernye Metally. 2025;(4):41–47. (In Russ.). https://doi.org/10.17580/chm.2025.04.07
21. Shin J.H., Kim S.W., Yoon H.S. A stroke model for straightening partially heat-treated ball screws with complex mechanical properties. International Journal of Precision Engineering and Manufacturing. 2024;25:1875–1884. https://doi.org/10.1007/s12541-024-01012-9
22. Muratkin G.V., Kotova I.V. Criteria for bending rigidity of rod parts. Remont, vosstanovlenie, modernizatsiya. 2006;(2):42–45. (In Russ.).
23. Yi G., Wang Y., Liu X., Wang Ch. Multi-roll levelling for wave defects of metal sheets based on the beam-membrane method. The International Journal of Advanced Manufacturing Technology. 2019;105:4783–4795. https://doi.org/10.1007/s00170-019-04615-z
24. Niu T., Luo Y., Chen F., Baddour N., Li Ch., Peng B. Investigation of rotary straightening process for the rollers of planetary roller screw. Journal of the Brazilian Society of Mechanical Sciences and Engineering. 2025;47:116. https://doi.org/10.1007/s40430-025-05434-y
Review
For citations:
Zaides S.A., Dung B. Evaluation of stress–strain state in the combined process of straightening and strengthening of non-rigid cylindrical parts. Izvestiya. Ferrous Metallurgy. 2026;69(3):294-304. (In Russ.) https://doi.org/10.17073/0368-0797-2026-3-294-304
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