APPLICATION OF GREY THEORY IN DEEP

DRAWING ROBUST DESIGN

XIE Yanmin  YU Huping  CHEN Jun  RUAN Xueyu

(National Die & Mold CAD Engineering Research Center, Shanghai Jiaotong University, Shanghai 200030 )

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: Grey theory Deep drawing Multi-objective optimization design Robust design

CLC No: TG386

国家自然科学基金资助项目(50475020). Received 20060613, received in revised form  20070104