Integrated Simulation of the System "Machine Tool - Actuation - Stock Removal Process" based on Model Order Reduction of the Structural FEM Model

Machine tools today are complex mechatronic production systems, whose development takes place under enormous pressure on innovation, time and rising costs. The simulation technique thereby represents a key technology for the early recognition of product properties. Their employment is increasingly more effective, the earlier in the product development process substantial insight on the behavioral character of the overall system can be achieved. In the ideal case we expect that the feasibility of new functions, quality and performance requirements can be warranted while still in the design phase. A particularly efficient and early applicable technique for the estimation of the attainable efficiency and accuracy of numerical control machine drafts is the coupling of finite element models of the mechanical structure with the regulation-technical simulation of the electrical drive systems. Already first draft models of the mechanical and electrical construction as well as control engineering are integrated into a mechatronic overall model at only slight auxiliary expenditure for the models data processing.

The emphasis of the research project to this method is the employment and the adjustment of new mathematical procedures for the automated model reduction of the finite element models, the efficient modeling of couplings of rotational and ball-type linear drives with the machine tool frame, as well as the implementation of a process model for machining by stock removal, and the verification of the suitability of the developed models for process control.

Publications with (co-)authors from Chemnitz:

Peter Benner und Jens Saak, Efficient Balancing based MOR for Second Order Systems Arising in Control of Machine Tools in I. Troch; F. Breitenecker: No. 35 Vol. 2 of ARGESIM-Reports; ISBN/ISSN: 978-3-901608-35-3
Peter Benner, Michael Döhler, Matthias Pester und Jens Saak, "PLiCMR - Usage on CHiC",
User's Guide, Chemnitz Scientific Computing Preprint, TU Chemnitz, April 2008
Peter Benner, "Integrierte Simulation des Systems Werkzeugmaschine - Antriebe - Zerspanprozess auf der Grundlage ordnungsreduzierter FEM-Strukturmodelle",
work report, Department of Mathematics, TU Chemnitz, May 2008

Presentations and talks by MiIT members:

Peter Benner; ADI-based Methods for Algebraic Lyapunov and Riccati Equations;
CICADA / MIMS workshop on Numerics for Control and Simulation;
University of Manchaster, June 17, 2009.
Jens Saak; Efficient Balancing Based MOR for Large Sparse Second Order Systems;
Südostdeutsches Kolloquium zur Numerischen Mathematik;
Chemnitz University of Technologie, May 8, 2009.
Peter Benner; System-Theoretic Methods for Model Reduction of Large-Scale Systems: Simulation, Control, and Inverse Problems;
MathMod 2009;
Vienna University of Technology, February 11- 13, 2009.
Jens Saak; Efficient Balancing based MOR for Second Order Systems Arising in Control of Machine Tools;
MathMod 2009;
Vienna University of Technology, February 11- 13, 2009.

Links: