Boundary Element Method in Predicting Roll Deformation in Cold Rolling — Toward A Library of CAD/CAM Programmes

  • A. M. A. Mansour
Chapter

Summary

Hitchcock’s formula is usually used to predict the roll radius in cold rolling theories. For a CAD/CAM package, this approach is not appropriate. In this work a small BASIC computer programme based on the simplest type of Indirect Boundary Elements is employed. The programme is shown to be fast and capable of predicting the displacement and the inconstant radius of the roll in the contact zone. It is shown that this computer code can be incorporated in a CAD/CAM package more easily than a Finite Element program. The need to use such a package is demonstrated by presenting the roll deformation for standard load cases, and showing the differences with Hitchcock’s formula.

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Notes

  1. 1.
    J.M. Alexander (1972) On the Theory pf Rolling, Proceedings of the Royal Society of London, series A 326, p.326 and 329 p. 493 or J.M, Alexander (1985) Micro Computer Programs for Rolling and Extrolling, Metal Forming and Impact Mechanics, Edited by S.R. Reid, Pergamon Press, p. 91.Google Scholar
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    J. Chakrabarty (1987) Theory of Plasticity, McGraw-Hill, p. 554Google Scholar
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    V.P. Polukhin (1975) Mathematical Simulation and Computer Analysis of Thin Strip Rolling Mills, Mir Publishers, Moscow, p. 435Google Scholar
  4. 4.
    D. Jortner, J.F. Osterle and CF. Zorowski (1959) An Analysis of the Mechanics of Cold Strip Rolling, Iron and Steel Engineer, May, p. 127Google Scholar
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    A. Atreya and J.G. Leanard (1979) A Study of Cold Strip Rolling, Journal of Engineering Materials and Technology 101, p. 129Google Scholar
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    D. Danson, C.A. Brebbia and R.A. Adey (1982) The BEASY System, CAD82 — 5th International Conference and Exhibition on Computers on Design Engineering, Butterworth, p. 482Google Scholar
  7. 7.
    P.K. Banerjee and Butterfield (1981) Boundary Element Methods in Engineering Science, McGraw-Hill, UK, p. 391Google Scholar
  8. 8.
    S.L. Crouch and A.M. Starfield (1983) Boundary Element Methods in Solid Mechanics, George Allen and Unwin Publishers Ltd, London, p. 34 and p. 277Google Scholar
  9. 9.
    Ibid p. 39Google Scholar
  10. 10.
    P. Cosse and M. Economopoulous (1968) Mathematical Study of Cold Rolling, C.N.R.M. 17, p. 15Google Scholar
  11. 11.
    W.L. Roberts (1978) Cold Rolling of Steel, Marcel Dekker, N.Y., p. 491Google Scholar

Copyright information

© Department of Mechanical Engineering University of Manchester Institute of Science and Technology 1988

Authors and Affiliations

  • A. M. A. Mansour
    • 1
  1. 1.Production Engineering DepartmentCairo UniversityEgypt

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