THE INVERSE APPROACH AND MATHEMATICAL PROGRAMMING TECHNIQUES FOR OPTIMUM DESIGN OF SHEET FORMING PARTS

摘要

An efficient algorithm to estimate the large elasto-plastic strains resulting from deep drawing operations of thin metallic sheets is continuously developed by the authors since 1987. The method called Inverse Approach (I.A.) is mainly based on a priori knowledge of the useful 3D surface of the workpiece. Some recent developments of the I.A. are briefly described. Then a mathematical programming technique combined with the I.A. is proposed to define automatically the optimum shape of the initial blank for a particular objective function. A square cup deep drawing problem based on a NUMISHEET 93 benchmark problem is presented for illustration.