Model Order Reduction for Mechanical Systems with Piezo Actuators
We are investigating model reduction of a finite element model of a spindle head configuration in a machine tool. The special feature of this spindle head is that it is partially driven by a set of piezo actuators. Due to this piezo actuation the resulting model is a second order differential algebraic system of index-1. The index-1 character allows the application of sparse low-rank ADI techniques, whereas the second-order form of the system can be treated in similar ways as the systems that appeared in the FVV and WAZorFEM projects. The long-term goal of the research activity is to extend the approaches to higher index mechanical systems.
Reduced Order State Space Modeling of Piezo-Mechanical Systems, Jens Saak; 83rd GAMM anual meeting in Darmstadt, Germany, March 26-30, 2012.
Efficient Methods for Reduced Order State Space Modeling of Piezo-Mechanical Systems, M. M. Uddin; GAMM Workshop in Anif, Salzburg, Austria, September 18-21, 2012.
Second Order to Second Order Balancing for Index-1 Vibrational Systems, M. M. Uddin; 7th ICECE 2012, Dhaka, Bangladesh, December 20-22, 2012.