Industrial Forging Design Using an Inverse Technique
An approach to optimal shape design in forging is presented. The design problem is
formulated as an inverse problem incorporating a finite element 3D analysis model and an
optimisation technique based on design sensitivities. The mechanical analysis provides
information to predict deformation, stresses and strains necessary to the shape optimisation
problem. The objective is to minimise a function describing the non-quality of the design
measured by the die underfill and excessive material waste. Analytical derivations of the
objective function are required and the calculation of discrete derivatives based on the
differentiation of the discrete problem equations is considered. Due to the time dependent
deformation process the direct differentiation method has been implemented. The capability
of the optimisation method applied to industrial forging problems is demonstrated.
Luísa C. SOUSA, Catarina F. CASTRO, Carlos C. ANTÓNIO, Abel D. SANTOS
Reçu le 16 juillet 2001.
Accepté le 29 octobre 2001.
FEM, shape optimisation, sensitivity analysis, forging, optimal design.