Hier finden Sie wissenschaftliche Publikationen aus den Fraunhofer-Instituten.

Optimization of partial differential equations for minimizing the roughness of laser cutting surfaces

: Vossen, G.; Schüttler, J.; Nießen, M.


Diehl, M.:
Recent advances in optimization and its applications in engineering : 14th Belgian-French-German Conference on Optimization (BFG09) organized in Leuven, Belgium, on September 14 - 18, 2009 ; selection of reviewed articles
Berlin: Springer, 2010
ISBN: 978-3-642-12597-3
ISBN: 978-3-642-12598-0
Belgian-French-German Conference on Optimization (BFG) <14, 2009, Leuven>
Fraunhofer ILT ()

This work introduces a mathematical model for laser cutting which involves two coupled nonlinear partial differential equations. The model will be investigated by linear stability analysis to study the occurence of ripple formations at a cutting surface. We define a measurement for the roughness of the cutting surface and give a method for minimizing the roughness with respect to process parameters. A numerical solution of this nonlinear optimization problem will be presented and compared with the results of the linear stability analysis.