Design of Computer Experiment for Draw bead Design in Sheet Metal Restraint

In automotive part manufacturers, drawbead on many sheet metal stamping dies is an important feature to control the flow of materials. Different drawbead configurations can lead to significantly different restraining forces. Also, the restraining force depends on the blank properties. This paper presents a design of computer experiment (DOCE) on drawbead restraining force so that the design process can fully utilize an analytical drawbead model. An explicit finite element method (FEM) is applied to obtain the drawbead restraining force used in the analytical or line drawbeads in forming analysis. The design was constructed by applying latin hypercube sample (LHS) design under a given parameterization. Three surrogate models, i.e., the second order polynomial model (Poly), radial basis function (RBF), and Kriging model, are applied on the restraining force obtained from finite element analysis (FEA) to the drawbead configurations. It is found that Poly cannot well represent the system while RBF and Kriging can well represent the system through evaluating the percentage of root mean square error (PRMSE).

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