Steel in Translation

, Volume 49, Issue 9, pp 581–586 | Cite as

Straightening of Relatively Flexible Cylindrical Parts. Part II. Stress State of the Cylinder Workpiece in Transverse Rolling between Flat Plates

  • S. A. ZaidesEmail author
  • Le Hong QuangEmail author


The intended form of relatively flexible cylindrical parts (shafts and axles) may be restored by straightening by flexure under a distributed load, with subsequent strengthening of the workpiece by surface plastic deformation based on transverse rolling between flat plates. It is well known that the nonequilibrium stresses are generated in the whole workpiece after straightening by transverse flexure, and the part is eventually deformed again. Therefore, the workpieces should be additionally straightened with surface plastic deformation after straightening by flexure. We use transverse rolling by flat plates for that purpose. The aim in the present work is to determine the capture conditions and the stress state of the workpiece in transverse rolling of cylindrical parts between flat plates. The mathematical analysis is based on the theory of an elastoplastic solid; ANSYS Workbench software is employed. A new method is proposed for control of stress state in straightening of cylinderical workpieces. The limiting capture angle α ranging 2–8 degrees and the maximum absolute reduction depending on friction coefficient and on the diameter of workpiece are obtained. The optimum reduction varies ΔH = 0.07–0.15 mm. The calculation data show that the stress state of uniform extension occurs at the center in the workpiece cross section after transverse rolling, and the stress state of reduction is formed at the peripheral areas of the workpiece. The straightening method of transverse rolling between flat plates eliminates crack formation and destruction of the material in the central area of the cylindrical parts.


straightening capture angle absolute reduction coefficient of friction transverse rolling residual stress stress state 



  1. 1.
    Avent, R.R., Mukai, D.J., and Robinson, P.F., Heat straightening rolled shapes, J. Struct. Eng., 2000, vol. 126, no. 7, pp. 755–763.CrossRefGoogle Scholar
  2. 2.
    Zaides, S.A. and Kuang, L.Kh., Analytical calculation of the main parameters of small low-rigid cylindrical parts straightening by transverse cheesing with flat plates, Vestn. Irkutsk. Gos. Tekh. Univ., 2018, vol. 22, no. 3, pp. 24–34.Google Scholar
  3. 3.
    Shchukin, V.Ya., Osnovy poperechno-klinovoi prokatki (Fundamentals of Cross-Wedge Rolling), Minsk: Nauka i Tekhnika, 1986.Google Scholar
  4. 4.
    Klushin, V.A. and Rudovich, A.O., Tekhnologiya i oborudovanie poperechno-klinovoi prokatki (Technology and Equipment of Cross-Wedge Rolling), Minsk: Fiz.-Tekh. Inst., Nats. Akad. Nauk Bel., 2010.Google Scholar
  5. 5.
    Tomlenov, A.D., Mekhanika protsessov obrabotki metallov davleniem (Mechanics of Metal Forming Processes), Moscow: Mashgiz, 1963.Google Scholar
  6. 6.
    Zaides, S.A. and Nguyen Van Hinh, Influence of oscillatory smoothing on the residual stress in cylindrical components, Russ. Eng. Res., 2018, vol. 38, no. 11, pp. 859–864.CrossRefGoogle Scholar
  7. 7.
    Sobolevski, E.G., Residual stress analysis of components with real geometries using the incremental hole-drilling technique and a differential evaluation method, PhD Thesis, Kassel: Kassel Univ. Press, 2007.Google Scholar
  8. 8.
    Zaides, S.A. and Fong, F.D., Roughness of cylindrical parts in transverse burnishing by flat plates, Russ. Eng. Res., 2018, vol. 38, no. 12, pp. 921–925.CrossRefGoogle Scholar
  9. 9.
    Walton, H.W., Deflection methods to estimate residual stress, in Handbook of Residual Stress and Deformation of Steel, Materials Park, OH: ASM Int., 2002, pp. 89–98.Google Scholar
  10. 10.
    Mrochek, Zh.A., Makarevich, S.S., Kozhuro, L.M., Pashkevich, M.F., and Il’yushenko, A.F., Ostatochnye napryazheniya (Residual Stresses), Minsk: Tekhnoprint, 2003.Google Scholar
  11. 11.
    Sjogren, S., Choosing the right wire straightener for specific applications, Euro Wire, 2001, no. 11.Google Scholar
  12. 12.
    Blyumenshtein, V.Yu. and Smelyanskii, V.M., Mekhanika tekhnologicheskogo nasledovaniya na stadiyakh obrabotki i ekspluatatsii detalei mashin (Mechanics of Technological Inheritance at Processing and Operation of Machine Parts), Moscow: Mashinostroenie, 2007.Google Scholar
  13. 13.
    Zaides, S.A. and Le Hong Quang, Straightening of relatively flexible cylindrical parts. Part I. Establishing the loading conditions in transverse straightening, Steel Transl., 2019, vol. 49, no. 7, pp. 440–446.CrossRefGoogle Scholar
  14. 14.
    Grudev, A.P., Vneshnee trenie pri prokatke (External Friction during Rolling), Moscow: Metallurgiya, 1973.Google Scholar
  15. 15.
    Muratkin, G.V. and Kotova, I.V., Mathematical model of the process of details correction by the method of surface plastic deformation with the preliminary bending of the billet, Metalloobrabotka, 2004, no. 6, pp. 27–31.Google Scholar
  16. 16.
    Korolev, A.V., Balaev, A.F., and Savran, S.A., Mathematical model of vibromechanical stabilization of geometrical parameters of lengthy details, Usp. Sovrem. Nauki, 2016, vol. 2, no. 7, pp. 73–77.Google Scholar
  17. 17.
    Dong, J., Epp, J., Rocha, A.S., Nunes, R.M., and Zoch, H.W., Investigation of the influence factors on distortion in induction-hardened steel shafts manufactured from cold-drawn rod, Metall. Mater. Trans. A, 2016, vol. 47, no. 2, pp. 877–888.CrossRefGoogle Scholar
  18. 18.
    Quang, L.H. and Zaides, S.A., Analytical determination of stressed state of the cylindrical details at transverse cheesing by flat plates, Vestn. Irkutsk. Gos. Tekh. Univ., 2018, vol. 22, no. 9, pp. 50–66.Google Scholar
  19. 19.
    Shinkin, V.N., Calculation of technological parameters of O-forming press for manufacture of large-diameter steel pipes, CIS Iron Steel Rev., 2017, vol. 13, pp. 33–37.CrossRefGoogle Scholar
  20. 20.
    Baier, W. and Zusset, A., Straightening Technology and Machine, 2001, Dec.Google Scholar
  21. 21.
    Buchanan, D.J. and John, R., Relaxation of shot-peened residual stresses under creep loading, Scr. Mater., 2008, no. 3, pp. 286–289.CrossRefGoogle Scholar
  22. 22.
    Shinkin, V.N., The mathematical model of the thick steel sheet flattening on the twelve-roller sheet-straightening machine. Message 2. Forces and moments, CIS Iron Steel Rev., 2016, vol. 12, pp. 40–44.CrossRefGoogle Scholar
  23. 23.
    Witels, A., The Straightening System: an Indispensable Process for the Production of Wire Materials, Albert Witels, 2003.Google Scholar
  24. 24.
    Shinkin, V.N., Springback coefficient of the main pipelines’ steel large-diameter pipes under elastoplastic bending, CIS Iron Steel Rev., 2017, vol. 14, pp. 28–33.CrossRefGoogle Scholar
  25. 25.
    Jahromi, B.H., Nayeb-Hashemi, H., and Vaziri, A., Elasto-plastic stresses in a functionally graded rotating disk, J. Eng. Mater. Technol., 2012, vol. 134, no. 2, pp. 021004 1–11.Google Scholar
  26. 26.
    Basov, K.A., ANSYS v primerakh i zadachakh (ANSYS in Examples and Tasks), Moscow: Komp’yuter Press, 2002.Google Scholar
  27. 27.
    Chen, X. and Liu, Y., Finite Element Modeling and Simulation with ANSYS Workbench, Boca Raton, FL: CRC Press, 2014.CrossRefGoogle Scholar

Copyright information

© Allerton Press, Inc. 2019

Authors and Affiliations

  1. 1.Irkutsk National Research Technical UniversityIrkutskRussia

Personalised recommendations