Mechanics-Based Determination of the Center Roller Displacement in Three-Roll Bending for Smoothly Curved Rectangular Plates

  • Shin, Jong-Gye (Department of Naval Architecture and Ocean Engineering, Seoul National University) ;
  • Lee, Jang-Hyun (Department of Naval Architecture and Ocean Engineering, Seoul National University) ;
  • Kim, You-Il (Division of Research and Development, Daewoo Shipbuilding) ;
  • Hyunjune Yim (Department of Mechanical Engineering, Hong-Ik University)
  • Published : 2001.12.01

Abstract

The objective of this paper is to develop a logical procedure to determine the center roller displacement, in the three-roll bending process, which is required in the fabrication of curved rectangular plates with a desired curvature. To this end, the mechanics of the process was analyzed by both analytical and finite element approaches. Comparisons of the results reveal that a simple analytical procedure, based on the beam theory, yields a reasonably accurate relationship between the center roller displacement and residual curvature. With further development and refinement, the proposed in this work has great premise for practical application, particularly automation of the process.

Keywords

References

  1. Hansen, N. E. and Jannerup, O., 1979, 'Modeling of Elastic-Plastic Bending of Beams Using a Roller Bending Machine,' Journal of Engineering for Industry, Vol. 101, pp. 304-310
  2. Hardt, D. E., Wright, A., and Constantine, E., 1990, 'A Design-Oriented Model of Plate Fanning for Shipbuilding,' Journal of Ship Production, Vol. 6, No.4, pp. 212-218
  3. Hardt, D. E., Constantine, E., and Wright, A., 1992, 'A Model or the Sequential Bending Process for Manufacturing Simulation,' Journal of Engineering for Industry, Vol. 114, pp. 181-187
  4. Kim, Y. I., 1996, Analysis of Plate Bending by Pyramid Type Three-Rolf Bending Machine, Master's Thesis, Department of Naval Architecture and Ocean Engineering, Seoul National University
  5. Oh, S. I. and Kobayashi, S., 1980, 'Finite Element Analysis of Plane-strain Sheet Bending,' International Journal of Mechanical Science, Vol. 22, pp. 583-594 https://doi.org/10.1016/0020-7403(80)90020-X
  6. Timoshenko, S. P., and Woinowsky-Krieger, S., 1959, Theory of Plates and Shells, McGraw - Hill, Inc.
  7. Shin, J. G., Park, T. J., and Yim, H., 2001, 'Kinematics- Based Determination of the Rolling Region in Roll Bending for Smoothly Curved Plates,' Journal of Manufacturing Science and Engineering, (accepted for publication) https://doi.org/10.1115/1.1367338
  8. Yang, M. and Shima, S., 1988, 'Simulation of Pyramid Type Three-roll Bending Process,' International Journal of Mechanical Science, Vol. 30, No. 12, pp. 877-886 https://doi.org/10.1016/0020-7403(88)90071-9
  9. Yang, M., Shima, S., and Watanabe, T., 1990, 'Model-based Control for Three-Roll Bending Process of Channel Bar,' Journal of Engineering for Industry, Vol. 112, pp. 346-351