Development of Analytical Model of Bending Force during 3-Roller Conical Bending Process and Its Experimental Verification
Commenced in January 2007
Frequency: Monthly
Edition: International
Paper Count: 33122
Development of Analytical Model of Bending Force during 3-Roller Conical Bending Process and Its Experimental Verification

Authors: Mahesh Chudasama, Harit Raval

Abstract:

Conical sections and shells made from metal plates are widely used in various industrial applications. 3-roller conical bending process is preferably used to produce such conical sections and shells. Bending mechanics involved in the process is complex and little work is done in this area. In the present paper an analytical model is developed to predict bending force which will be acting during 3-roller conical bending process. To verify the developed model, conical bending experiments are performed. Analytical results and experimental results were compared. Force predicted by analytical model is in close proximity of the experimental results. The error in the prediction is ±10%. Hence the model gives quite satisfactory results. Present model is also compared with the previously published bending force prediction model and it is found that the present model gives better results. The developed model can be used to estimate the bending force during 3-roller bending process and can be useful to the designers for designing the 3-roller conical bending machine.

Keywords: Bending-force, Experimental-verification, Internal-moment, Roll-bending.

Digital Object Identifier (DOI): doi.org/10.5281/zenodo.1090765

Procedia APA BibTeX Chicago EndNote Harvard JSON MLA RIS XML ISO 690 PDF Downloads 4030

References:


[1] Wang C., Kinzel G., Altan T., Mathematical modeling of plane-strain bending of sheet and plate, Journal of Materials Processing Technology, 1993, Vol-39, pp. 279–304.
[2] Hua M., Sansome D.H., Baines K., Mathematical modeling of the internal bending moment at the top roll contact in multi-pass four-roll thin-plate bending, Journal of Materials Processing Technology, 1995, Vol-52, pp. 425-459.
[3] Baines K., Hua M., Cole I.M., Rao K.P., A formulation for determining the single-pass mechanics of the continuous four-roll thin plate bending process, Journal of Materials Processing Technology, 1997, Vol- 67, pp. 189-194.
[4] Hua M., Lin Y.H., Large deflection analysis of elastoplastic plate in steady continuous four-roll bending process, International Journal of Mechanical Sciences, 1999, Vol-41, pp.1461-1483.
[5] Hua M., Lin Y.H., Influence of strain hardening on continuous plate roll-bending process, International Journal of Non-Linear Mechanics, 2000, Vol-35, pp. 883-896.
[6] Moreira L.P., Ferron G., Influence of the plasticity model in sheet metal forming simulations, Journal of Materials Processing Technology, 2004, Vol-155–156, 1596–1603.
[7] Firat M., Computer aided analysis and design of sheet metal forming processes: Part II – Deformation response modeling, Materials and Design, 2007, Vol-28, pp. 1304–1310.
[8] Kim H, Nargundkar N., Altan T., Prediction of Bend Allowance and Springback in Air Bending, ASME Transactions, 2007, 129, 342-351
[9] Gandhi A H, H. K. Raval, Analytical and Empirical Modeling of top roller position for 3-roller cylindrical bending of plates and its & experimental verification, Journal of Materials Processing Technology, 2008, 197, 268-278.
[10] Gandhi A. H., Shaikh A. A., Raval H. K., Formulation of springback and machine setting parameters for multi-pass three-roller cone frustum bending with change of flexural modulus, International Journal of Material Forming, 2009, 2, 45–57.
[11] Sanchez L. R, A new cyclic anisotropic model for plane strain sheet metal forming, International Journal of Mechanical Sciences, 2000, Vol-42, pp. 705-728.
[12] Chudasama M. K., Raval H. K., An approximate bending force prediction for 3-roller conical bending process, International Journal of Material Forming, 2013,Vol. 6 No 2 pp. 303-314.
[13] Hill R., The Mathematical theory of Plasticity, Oxford University Press, 1950.
[14] Hasek, V. V., "An evaluation of the applicability of Theoretical Analyses to the Forming Limit Diagram”, Proc. Of 4th Int. Conf. On Fracture, 2, p. 476, June 1977.
[15] Wagoner R. H., Chenot J.L., Fundamentals of Metal forming, Willey eastern, 1997.
[16] Mielnik E., Metalworking Science and Engineering, McGraw Hill 1991.
[17] Marciniac Z., Duncan J.L., Hu S. J., Mechanics of sheet metal forming, Butterworth-Heinemann, 1992.
[18] Nepershin R. I., Bending of a Thin Strip by a Circular Tool, Mechanics of Solids, 2007, Vol-42-4, pp. 568-582.