Abstract: Based on the grey theory, the multi-objective robust design can be converted into single objective robust design by the grey rational grade. In the sheet forming robust design, multi-objectives need be met, such as not resulting in crack, not resulting in wrinkle, and enough deforming, and variation of responses should be less. On the basis of design of experiment, the each objective value is obtained making use of finite element analysis software (FEA). The analysis of variance for the grey relational grades is implemented, and the effects of factors on the responses are obtained, so that the optimum combination of the factors is confirmed. At last, deep drawing is simulated making use of the optimum parameters again, and the quality is improved. It is showed that the optimum multi-objective result is obtained making use of the grey theory in the deep drawing, and it can be used to solve the multi-objective robust design adequately.

Key words: Deep drawing, Grey theory, Multi-objective optimization design, Robust design