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Application of grey relational analysis in sheet metal forming for multi-response quality characteristics
基金项目:Project (No. 50475020) supported by the National Natural ScienceFoundation of China
摘    要: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 square hole flanging process parameters with considerations of the multiple response (the average flanging height, regular flanging and maximum strain) is introduced. Various flanging parameters, such as the blank inner radius rb, blank inner width B0, are considered. An orthogonal array is used for the experimental design. Multiple response values are obtained using finite element analysis (FEA). Optimal process parameters are determined by the grey relational grade obtained from the grey relational analysis for multi-performance characteristics (flanging height, regular flanging and maximum strain). Analysis of variance (ANOVA) for the grey relational grade is implemented. The results showed good agreement with the experiment result. Grey relational analysis can be applied in multiple response optimi-zation designs.

收稿时间:4 August 2006
修稿时间:21 November 2006

Application of grey relational analysis in sheet metal forming for multi-response quality characteristics
Authors:XIE Yan-min  YU Hu-ping  CHEN Jun  RUAN Xue-yu
Institution:(1) National Die & Mold CAD Engineering Research Center, Shanghai Jiao Tong University, Shanghai, 200030, China
Abstract: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 square hole flanging process parameters with considerations of the multiple response(the average flanging height,regular flanging and maximum strain) is introduced. Various flanging parameters,such as the blank inner radius rb,blank inner width B0,are considered. An orthogonal array is used for the experimental design. Multiple response values are obtained using finite element analysis(FEA). Optimal process parameters are determined by the grey relational grade obtained from the grey relational analysis for multi-performance characteristics(flanging height,regular flanging and maximum strain). Analysis of variance(ANOVA) for the grey relational grade is implemented. The results showed good agreement with the experiment result. Grey relational analysis can be applied in multiple response optimi-zation designs.
Keywords:Grey relational analysis  Flanging  Multiple response  Optimization design
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