Surrogate POD models for parametrized sheet metal forming applications

摘要

The aim of this work is to present a POD (Proper Orthogonal Decomposition) based surrogate approach for sheet metal forming parametrized applications. The final displacement field for stamped work-pieces computed using a finite element approach is approximated using the method of snapshots for POD mode determination and kriging for POD coefficients interpolation. An error analysis, performed on a validation set, shows that the accuracy of the surrogate POD model is excellent for the representation of finite element displacement fields. The surrogate POD model is then used to assess the quality of stamped sheets. For a given design parameter, the Green-Lagrange strain tensor is derived and forming limit diagrams are computed on-the-fly. Furthermore, the minimization of a cost function based on the surrogate POD model is performed showing its potential for solving design identification problems.