Method and apparatus for predicting post-buckling deformation of

Details Method and apparatus for predicting post-buckling deformation of Method and apparatus for predicting post-buckling deformation of

1993-10-28

1995-02-14

Gordon, Paul P.

Boots, shoes, and leggings

364476, 29 34R, 298972, 72347, 723792, G06F 1546, B21D 502

Patent

active

053901274

ABSTRACT:
Method for predicting post-buckling deformation of a sheet of metal during a draw forming process, for use with a computer including memory, by introducing a set of springs to stabilize the sheet metal close to the onset of buckling, thereby enhancing convergence of numerical solutions. The method is for use with sheet metal forming tools including a draw die, a punch and binder having surfaces designed to form the sheet metal into a part, the sheet metal being represented as a mesh including a plurality of nodes. The method includes applying a displacement increment to the sheet metal nodes and identifying a singularity in a tangent stiffness matrix associated with the sheet metal close to the onset of buckling. The method also includes introducing a plurality of springs at the sheet metal nodes so as to eliminate the singularity and enhance convergence of the numerical solution of the displacement increment.

REFERENCES:
patent: 4912954 (1990-04-01), Vegter et al.
patent: 5128877 (1992-07-01), Tang
"Analysis of Sheet Metal Stamping by a Finite-Element Method.", by N.--M. Wang et al., Journal of Applied Mechanics, Mar. 1978, vol. 45, pp. 73-82.
"Sheet Metal Forming Modeling of Automobile Body Panels.", by S. C. Tang et al., ASM International, May, 1988.
"Application of Mechanics Methods to Evaluation of Forming and Process Design.", by T. Balun et al., SAE Technical Paper Series, Paper #930521, International Congress and Exposition, Detroit, Michigan, Mar. 1-5, 1993, pp. 181-187.
Computer Modeling of Sheet Metal Forming Process; Theory, Verification and Application, Wang et al, The Metallurgical Society, Inc., Apr. 1985, pp. 37-50.

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