Interactions between Structure and Process in Manufacturing Systems
D. Hömberg (TU Berlin and WIAS)
The goal of this mini-symposium is to shed light on the interactions between processes and structures in modern production facilities. The knowledge of these interactions will enable a reliable and reproducible process control including ramp-up and the systematic design of production equipment - tasks that currently involve a high amount of empirical knowledge.
The applications considered range from metal chipping, milling, and grinding to robot-guided laser material treatments.
The mathematical tasks covered are important modelling issues arising in the coupling of process and structure, including mechanical interactions and the role of heat production and release, numerical methods for an efficient simulation of the arising coupled systems and, last but not least, their optimal control.
The first talk deals with the simulation of metal chipping. Here the focus is on a boundary element and finite element coupling procedure for the elastoplastic thermo-mechanical contact problem with a linear elasticwork tool and an elastoplastic work piece.
In the second talk the influence of machine and structure on the stability of milling processes is considered. The emphasis is on modelling and a comparison of stability results for coupled and non-coupled models of high-speed milling.
The third talk is related to the NC-shape grinding process. Here, the main point is the efficient numerical simulation, especially the adaptive finite element discretization of the spindle-grinding-wheel-system.
The last talk deals with robot-guided laser material treatments. The central issue is the optimal control of the multibody system, which describes the robot, together with the PDE model of the laser material treatment, in this case either welding or hardening.