This paper proposes and develops a kinematics-based, systematic approach to determine the region of a plate to be rolled, in order to fabricate smoothly curved plates. The approach includes a kinematic analysis to calculate the plate’s curvature distribution, and, in addition, a linear regression analysis to determine the initial and final locations of the roller during the roll bending process. Three artificial cases and two real cases have been studied, and the results are in good agreement with field practices. This approach will play an important role in the automation and optimization of the plate forming process.

Issue Section:
Technical Papers
Keywords:
flexible structures, bending, rolling, kinematics, manufacturing processes
Topics:
Kinematics, Plates (structures), Manufacturing, Shapes, Regression analysis
1.
Hansen
,
N. E.
, and
Jannerup
,
O.
,
1979
, “
Modelling of Elastic-Plastic Bending of Beams Using a Roller Bending Machine
,”
ASME J. Eng. Ind.
101
, pp
304
–
310
.
2.
Kim, Y. I., Shin, J. G., and Lee, J. H., 1996, “Analysis of Ship Hull Plate Bending by Roll Bending Machine,” Proceedings, 1996 Spring Conference, Society of Naval Architects of Korea, pp. 281–284 (in Korean).
3.
Shin, J. G., Kim, W. D., and Lee, J. H., 1996, “Kinematics and Thermoplastic Analysis of Ship Hull Plate Forming,” Proceedings, Sixth International Offshore and Polar Engineering Conference, Vol. IV, pp. 160–165.
4.
Letcher
,
J. S.
,
1993
, “
Lofting and Fabrication of Compound-Curved Plates
,”
J. Ship Res.
,
37
, No.
2
, pp
166
–
175
.
5.
Fung, Y. C., 1965, Foundations of Solid Mechanics, Prentice Hall, pp. 456–463.
6.
Lipschutz, M. M., 1969, Theory and Problems of Differential Geometry, Schaum’s Outline Series, McGraw-Hill Book Co., pp. 171–184.
7.
O’Neill, B., 1997, Elementary Differential Geometry, 2nd ed., Academic Press, pp. 201–208.
8.
Choi
,
B. K.
,
1991
, Surface Modeling for CAD/CAM,
Advances in Industrial Engineering
, Vol.
11
, Elsevier, pp.
122
–
125
.
9.
Park, T. J., 1997, “Forming Information of the First Roll Bending Process by a Statistical Approach,” Master’s Thesis, Department of Naval Architecture and Ocean Engineering, Seoul National University.
10.
Johnson, R. A., and Wichern, D. W., 1992, Applied Multivariate Statistical Analysis, 3rd ed., Prentice Hall, pp. 308–314.
11.
Weisberg, S., 1985, Applied Linear Regression, Second ed., John Wiley & Sons, pp. 106–118
12.
TRIBON User’s Guide, 1997, “Shell Plate Development,” Hull Curved Modeling, Section III, Kockums Company.
Copyright © 2001
 by ASME
You do not currently have access to this content.