Biannual Report - Fachbereich Mathematik - Technische Universität ...

one makes use of a hierarchical order of models describing a problem. Examples for these
models are discretization levels or models with increasing physical fidelity.
Partner: Collaborative Research Center (SFB) 568: “Flow and Combustion in Future Gas
Turbine Combustion Chambers”; speaker J. Janicka (Department of Mechanical Engineering,
TU Darmstadt)
Support: German Research Foundation (DFG)
Contact: R. Roth, S. Ulbrich
Project: Optimal design and control of adaptronic systems
This project is part of the LOEWE-Center AdRIA, which is a collaborative reserach initiative
of the Fraunhofer Institute for Structural Durability and System Reliability LBF, the TU
Darmstadt and the Hochschule Darmstadt to create a leading international research center
for adaptronic systems.
As part of the project "quiet office" we develop cost-effective system solutions to optimize
the sound insulation in office buildings to the prototypical market for flat building elements
(windows, facades, partition walls), building services (plumbing, heating and air
conditioning), and office equipment (projector, printer, copier). The demonstrator "acoustic
aquarium" provides an appropriate platform to interpret, implement and evaluate the
approaches, methods and solutions for vibration reduction.
An FE model of the acoustic demonstrator was developed and approximated by model
order reduction. Based on this model, a method for optimal placement of sensors and
actuators is developed. Afterwards we deal with the optimization of controller parameters
and the development of linear and nonlinear model predictive control (MPC) algorithms.
With the MPC approach, we plan to reduce the noise and vibration by an online optimization
method at the acustic demonstrator. The developed methods will be tested and
compared with existing methods.
Partner: LOEWE-Center AdRIA: S. Herold
Contact: S. Ulbrich, C. Schäfer
References
[1] F. Kartzow, L. Schewe, and O. Janda. Simultaneous optimization of damper parameters on a
truss. DAGA, 2010.
[2] M. Kurch, H. Atzrodt, F. Kartzow, L. Schewe, and O. Janda. On model order reduction for
parameter optimisation of vibration absorbers. RASD, 2010.
Project: Mathematical Programming in Robust Design
The presence of uncertainty is a prevalent characteristic in mechanical engineering which
can lead to severe economical and safety consequences. This applies particularly to fields
like lightweight design, e.g. aircraft construction, where high load-bearing capacity has to
be combined with low weight and where system failure is not tolerable at any point.
As part of the Collaborative Research Centre (SFB) 805: “Control of uncertainty of load
carrying systems in mechanical engineering” we want to find - for load carrying mechanical
systems - the optimal robust design regarding uncertainty of parameters, e.g. material
properties and loading scenarios, as well as uncertainty of the manufacturing quality.
This is achieved by simulation-based optimization of geometry, topology and the placement
1.2 Research Groups 81