Friday, 11:30 - 11:55 h, Room: MA 415

 

Daniela Koller
Optimal control of hydroforming processes based on POD

Coauthor: Stefan Ulbrich

 

Abstract:
The sheet metal hydroforming process is a complex forming process, which
involves contact, friction and plasticity to manufacture curved
sheet metals with bifurcated cross section. These sheet metal products
are examined within the Collaborative Research Centre (CRC) 666.
Mathematically, the sheet metal hydroforming process leads to an evolution
quasi-variational inequality. We seek for optimal controls of the process
relevant control variables, e.g., the time dependent blank holder force and
the fluid pressure.
Since the resulting VI-constrained optimization problem is very complex and
computationally intensive, we apply model reduction techniques. We use
Proper Orthogonal Decomposition (POD) to obtain a low-order model of the
hydroforming process.
Based on a Galerkin approximation and a semismooth reformulation we will
discuss the derivation of a reduced model for the evolution variational
inequality.
Numerical results of a simplified engineering application for the optimal
control of hydroforming processes will be presented.

 

Talk 3 of the contributed session Fri.1.MA 415
"Reduced order model based optimization" [...]
Cluster 19
"PDE-constrained optimization & multi-level/multi-grid methods" [...]

 

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