中文摘要：

利用灰色系统理论，以目标序列之间的关联度作为目标函数，将多目标优化转化为单目标优化问题。在板料成形的稳健设计中，通常需要满足多个目标，如不拉裂、不起皱、变形充分等质量要求，而且要满足响应波动减少的要求。对成形中可控因子进行试验设计，利用有限元分析软件获得拉深成形中各个目标对应的响应值。对计算获得的目标序列灰色关联度进行方差分析，得到各个因子各个水平对响应的影响程度，从而获得因子的最佳参数。最后利用最佳参数进行有限元分析，结果表明质量明显提高。研究表明，将灰色理论应用到板料拉深成形稳健设计中，取得较好的结果，说明该方法在多目标稳健设计中有很大的适用性。

英文摘要：

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.