Skip to main content
Log in

New Variational Solutions for the Rolling of Flanged Sections in Universal Roll Passes

  • Published:
Metallurgist Aims and scope

The variational principle of minimum total power and modern computational means are used to describe the deformation of metal in and to determine the power/force conditions for rolling rails and I-beams in universal beam passes. The results are engineering formulas for designing roll passes and calculating process parameters.

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.

Fig. 1.

Similar content being viewed by others

References

  1. I. Ya. Tarnovskii, A. A. Pozdeev, V. L. Kolmogorov, et al., Metal Forming Theory: Variational Methods of Calculating Forces and Strains, Metallurgizdat, Moscow (1963).

    Google Scholar 

  2. I. Ya. Tarnovskii, A. N. Skorokhodov, and B. M. Ilyukovich, Elements of the Theory of Rolling Complex Sections, Metallurgiya, Moscow (1972).

    Google Scholar 

  3. V. K. Smirnov, V. A. Shilov, and K. I. Litvinov, Strains and Forces in Simple Roll Passes, Metallurgiya, Moscow (1982).

    Google Scholar 

  4. A. A. Sidorov, “Present and future of modeling of metal-forming processes,” SAPR Grafika, No. 10, 78–79 (2007).

  5. A. A. Aleksandrov, K. A. Orlov, and V. F. Ochkov, “Mathematical packages as new approaches to the design of thermodynamic and other processes,” Izv. VUZov, Probl. Energet., No. 11–12, 80–86 (2005).

  6. D. L. Shvarts, “Rolling of rail profiles in a universal groove. Part 1,” Steel in Transl., 45, No. 6, 430–435; No. 7, 499–502 (2015).

  7. S. O. Nepryakhin, V. A. Shilov, and D. L. Shvarts, “Metal flow and forces when rolling I beams in universal grooves,” Steel in Transl., 44, No. 11, 842–846 (2014).

    Article  Google Scholar 

  8. V. K. Smirnov, I. Ya. Tarnovskii, V. I. Nikitin, et al., “A numerical technique for solving the variational equation describing rolling in roll passes,” in: Rolling-Mill Theory and Technology, Magnitogorsk (1970), Iss. 67, pp. 92–98.

  9. P. I. Polukhin, Rolling of and Roll Pass Design for I-Beams, Metallurgizdat, Moscow (1956).

    Google Scholar 

  10. N. F. Gritsuk and S. P. Antonov, Production of W-Beams, Metallurgiya, Moscow (1973).

    Google Scholar 

Download references

The study was supported by Program 211 of the Government of the Russian Federation (Agreement No. 02.A03.21.0006).

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to D. L. Shvarts.

Additional information

Translated from Metallurg, No. 12, pp. 54–58, December, 2016.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Shvarts, D.L., Nepryakhin, S.O. & Shilov, V.A. New Variational Solutions for the Rolling of Flanged Sections in Universal Roll Passes. Metallurgist 60, 1256–1261 (2017). https://doi.org/10.1007/s11015-017-0437-5

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11015-017-0437-5

Keywords

Navigation