Reduced order modelling for spatial-temporal temperature and property estimation in a multi-stage hot sheet metal forming process

A concise approach is proposed to determine a reduced order control design oriented dynamical model of multi-stage hot sheet metal forming process starting from high-dimensional coupled thermo-mechanical model. The obtained nonlinear parametric serves as basis for the an Extended Kalman filter estimate spatial-temporal temperature distribution in blank during based on sparse local measurements. To address modeling and approximation errors capture physical effects neglected such phase transformation austenite martensite disturbance integrated into achieve joint state estimation. extension property estimation introduced. evaluated hole-flanging using simulation LS-DYNA. Here, number states approximately 17 000 30 while preserving relevant dynamics computational time 1000 times shorter. performance combined validated different scenarios with three spatially fixed