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Optimal control of hydroforming processes
Author(s) -
Koller Daniela,
Ulbrich Stefan
Publication year - 2011
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.201110386
Subject(s) - hydroforming , blank , solver , sheet metal , galerkin method , process (computing) , benchmark (surveying) , mathematical optimization , computer science , control (management) , mathematics , control theory (sociology) , finite element method , mechanical engineering , structural engineering , engineering , geology , geodesy , artificial intelligence , operating system
We consider an optimal control problem for sheet metal hydroforming. As a first step derivative free optimization algorithms are used to control the time dependent blank holder force and the fluid pressure, which are typical control variables. Our goal is to obtain a desired final configuration. We present numerical examples for 2D and 3D ABAQUS simulations for the hydroforming process of complexly curved sheet metals with bifurcated cross‐sections. Since a single ABAQUS simulation takes a long time, optimization algorithms based on reduced models are under investigation. The reduced order model is based on a Galerkin solver for the elastoplasticity problem. (© 2011 Wiley‐VCH Verlag GmbH & Co. KGaA, Weinheim)