Skip to main content
SpringerLink
Log in

Roll Flattening Analytical Model in Flat Rolling by Boundary Integral Equation Method

  • Published:
Journal of Iron and Steel Research International Aims and scope Submit manuscript

Abstract

In order to improve rolled strip quality, precise plate shape control theory should be established. Roll flattening theory is an important part of the plate shape theory. To improve the accuracy of roll flattening calculation based on semi-infinite body model, especially near the two roll barrel edges, a new and more accurate roll flattening model is proposed. Based on boundary integral equation method, an analytical model for solving a finite length semi-infinite body is established. The lateral surface displacement field of the finite length semi-infinite body is simulated by finite element method (FEM) and lateral surface displacement decay functions are established. Based on the boundary integral equation method, the numerical solution of the finite length semi-infinite body under the distributed force is obtained and an accurate roll flattening model is established. Different from the traditional semi-infinite body model, the matrix form of the new roll flattening model is established through the mathematical derivation. The result from the new model is more consistent with that by Fem especially near the edges.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. SUN Jing-na, XUE Tao, DU Feng-shan. FEM Analysis of Contact Stress and Crown Control for Six-High CVC Mill [J]. Iron and Steel, 2012, 47(2): 50 (in Chinese).

    Google Scholar 

  2. LI Xue-tong, WU Zhi-he, DU Feng-shan. FE Analysis of Roll and Sheet Coupling Deformation in Four-High Skin Mill [J]. Journal of Iron and Steel Research, 2008, 20(10): 30 (in Chinese).

    Google Scholar 

  3. YU Hui, DU Feng-shan, XU Zhi-qiang. Influence of Pass Parameters on Retained Mandrel Rolling Process [J]. Journal of Iron and Steel Research, International, 2011, 18(2): 31.

    Article  Google Scholar 

  4. Roark R J. Formulas for Stress and Strain [M]. New York: McGraw-Hill, 1954.

    Google Scholar 

  5. Tozawa Y, Ueda M. Analysis to Obtain the Pressure and Distribution From the Contour of Deformed Roll [J]. Journal of the Japan Society for Technology of Plasticity, 1970, 11(108): 29.

    Google Scholar 

  6. Xiao H, Xie H B, Zhang G M. A Coupled Numerical Simulation for Strip Rolling Process of PC Mill [J]. Eng Mech, 2005, 22(3): 216.

    Google Scholar 

  7. WANG Tao, XIAO Hong, ZHAO Tie-yong, et al. Improvement of 3-D FEM Coupled Model on Strip Crown and Flatness in Hot Rolling [J]. Journal of Iron and Steel Research, International, 2012, 19(3): 14.

    Article  Google Scholar 

  8. QI Xiang-dong, WANG Tao, XIAO Hong. Optimization of Pass Schedule in Hot Strip Rolling [J]. Journal of Iron and Steel Research, International, 2012, 19(8): 26.

    Article  Google Scholar 

  9. Timoshenko S. Theory of Elasticity [M]. New York: McGraw-Hill, 1951.

    MATH  Google Scholar 

  10. Berger B, Pawelski O, Funke P. Archive for the Iron and Steel Industry [M]. Berlin: Verlag Stahleisen, 1976.

    Google Scholar 

  11. Zhou S X, Funke P, Zhong J. Influence of Roll Geometry and Strip Width on Flattening in Flat Rolling [J]. Steel Res, 1996, 67(5): 200.

    Article  Google Scholar 

  12. Zhou S X, Funke P, Zhong J, et al. Modification of a Classical Formula for Determination of Roll Flattening in Flat Rolling [J]. Steel Res, 1996, 67(11): 491.

    Article  Google Scholar 

  13. Hacquin A, Montmitonnet P, Guillerault J P. A Three-Dimensional Semi-Analytical Model of Rolling Stand Deformation With Finite Element Validation [J]. Eur J Mech, 1998, 17(1): 79.

    Article  Google Scholar 

  14. Liang J, Liew K M. Boundary Elements for Half-Space Problems via Fundamental Solutions: A Three-Dimensional Analysis [J]. Int J Numer Meth Eng, 2001, 52(11): 1189.

    Article  Google Scholar 

  15. Liu M, Farris T N, Three-Dimensional Infinite Boundary Elements for Contact Problems [J]. Int J Numer Meth Eng, 1993, 36(19): 3381.

    Article  Google Scholar 

  16. Zhang C, Song C, Wang G, et al. 3-D Infinite Boundary Elements and Simulation of Monolithic Dam Foundations [J]. Comm Appl Numer Meth, 1989, 5(6): 389.

    Article  Google Scholar 

  17. Mindlin R D. Force at a Point in the Interior of a Semi-Infinite Solid [J]. Physics, 1936, 7(5): 195.

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. National Engineering Research Center for Equipment and Technology of Cold Strip Rolling, Yanshan University, Qinhuangdao, Hebei, 066004, China

    Hong Xiao (Professor), Zheng-wen Yuan & Tao Wang

  2. College of Mechanical Engineering, Yanshan University, Qinhuangdao, Hebei, 066004, China

    Hong Xiao (Professor), Zheng-wen Yuan & Tao Wang

Authors
  1. Hong Xiao
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Zheng-wen Yuan
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Tao Wang
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Hong Xiao.

Additional information

Foundation Item: Item Sponsored by NationRI Natural Science Foundation of China (51075353)

Rights and permissions

Reprints and permissions

About this article

Cite this article

Xiao, H., Yuan, Zw. & Wang, T. Roll Flattening Analytical Model in Flat Rolling by Boundary Integral Equation Method. J. Iron Steel Res. Int. 20, 39–45 (2013). https://doi.org/10.1016/S1006-706X(13)60174-0

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1016/S1006-706X(13)60174-0

Key words

Search

Navigation