Robust Optimization for Deep-Drawing Process of Sheet Metal Based on CAE with Grey Relational Analysis Method

The theory of grey systems is a new technique for performing prediction, relational analysis and decision making in many areas. In this paper, the use of grey relational analysis for optimizing the deep-drawing process parameters with considerations of the multiple response is introduced. Various deep-drawing parameters are considered. An orthogonal array is used for the experimental design. The process simulation is justified to be valid by experimental results. The multiple response values are obtained making use of finite element analysis (FEA). Optimal process parameters are determined by the grey relational grade obtained from the grey relational analysis for multi-performance characteristics. The analysis of variance (ANOVA) for the grey relational grade is implemented. The results have shown that the wrinkle, crack and the thinning variation in the deep-drawing process can be improved effectively through the new approach. The grey relational analysis can be applied in multiple response designs.