Comparison of Optimum and Square Blanks Using the Sensitivity Approach

Abstract—This paper studies the modified sensitivity analysis applied into an elastic-plastic finite element analysis of a 3D blank design in sheet metal forming. Originally the sensitivity method has successfully been applied to several arbitrary shapes. In the present paper the sensitivity coefficients are not considered constant during the analysis. The presented approach computes the new coefficients from the two last iterations. This method can produce an initial blank boundary shape that has any arbitrary flange shape. A cup with uniform flange has been studied in detail and results show a faster solution convergence than the published sensitivity method. Experimental tests were conducted to compare with the numerical simulations. The optimum blank shape obtained from the numerical simulations was used during the experimental trials. The results of experimental tests for both square and optimum blank are presented here. Index Terms— Finite element method, modified sensitivity analysis, optimum blank, sheet metal forming.

[1]  Shiro Kobayashi,et al.  Metal forming and the finite-element method , 1989 .

[2]  H. B. Shim,et al.  Optimal Blank Design for the Drawings of Arbitrary Shapes by the Sensitivity Method , 2000, Manufacturing Engineering.

[3]  J. L. Duncan,et al.  The modelling of sheet metal stampings , 1986 .

[4]  G. N. Blount,et al.  Computerised blank shape prediction for sheet metal components having doubly-curved surfaces , 1995 .

[5]  Shiro Kobayashi,et al.  Deformation analysis and blank design in square cup drawing , 1985 .

[6]  M. Karima,et al.  Blank Development and Tooling Design for Drawn Parts Using a Modified Slip Line Field Based Approach , 1989 .

[7]  Hoon Huh,et al.  Blank design and strain prediction of automobile stamping parts by an inverse finite element approach , 1997 .

[8]  Naksoo Kim,et al.  Blank design in rectangular cup drawing by an approximate method , 1986 .

[9]  Sang-Moon Hwang,et al.  Implementation of backward tracing scheme of the FEM to blank design in sheet metal forming , 2001 .

[10]  Jian Cao.  NUMISHEET 2005 : proceedings of the 6th International Conference and Workshop on Numerical Simulation of 3D Sheet Metal Forming Processes, Detroit, Michigan, 15-19 August 2005 , 2005 .

[11]  D. Seo,et al.  Blank design and formability for non-circular deep drawing processes by the finite-element method , 1998 .

[12]  森 謙一郎,et al.  Simulation of materials processing : theory, methods and applications : proceedings of the 7th International Conference on Numerical Methods in Industrial Forming Processes - NUMIFORM 2001, Toyohashi, Japan, 18-20 June 2001 , 2001 .