(Berlin : Weierstraß-Institut für Angewandte Analysis und Stochastik, 2009) Hömberg, Dietmar; Steinbrecher, Andreas; Stykel, Tatjana
In this article we will consider the optimal control of robot guided laser material treatments, where the discrete multibody system model of a robot is coupled with a PDE model of the laser treatment. We will present and discuss several optimization approaches of such optimal control problems and its properties in view of a robust and suitable numerical solution. We will illustrate the approaches in an application to the surface hardening of steel.
(Berlin : Weierstraß-Institut für Angewandte Analysis und Stochastik, 2009) Hömberg, Dietmar; Kern, Daniela
The goal of this paper is to show how the heat treatment of steel can
be modelled in terms of a mathematical optimal control problem. The approach
is applied to laser surface hardening and the cooling of a steel slab
including mechanical effects. Finally, it is shown how the results can be
utilized in industrial practice by a coupling with machine-based control.
