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Enineering Applications
 | Commanding Uncertainties in Systems of Mechanical EnigneeringDepending on the level of abstraction, various processing chains with uncertainties occur within this project. Here, we start with a mathematical model for process chains and their inherent uncertainties with the help of a distribution over a set of random envents or scenarios. We follow two approaches. One deals with very large structured mixed integer programs as known from stochastic programming. The other one deals with PSPACE-complete problems like Quantified Integer Programs or some special classes of the Dynamic Graph Reliability problem. Contact: Alexander Martin (alexander.martin [at] math.uni-erlangen.de), Ulf Lorenz (lorenz [at] mathematik.tu-darmstadt.de), Nicole Ziems (nicole.ziems [at] math.uni-erlangen.de) |
 | Optimal combination of active and passive parts in load carrying systemsMechanical trusses are found in many applications (undercarriages of airplanes, bicycles, electrical towers, etc.). Those trusses are often overdimensioned to withstand given forces under several uncertainties in loadings, material, production processes, etc. Active parts (e.g. piezo-elements) can react on these uncertain effects and reduce the dimension of trusses. CRC 805 introduces new technologies to handle uncertainty in load carrying systems. Mathematically, this leads to a mixed-integer semi-definite programming problem. |
 | Robust Optimization of Load Carrying Systems in Mechanical EngineeringThe presence of uncertainty is a prevalent subject in mechanical engineering which can lead to severe economical and safety consequences. The aim of this project is to find -for load-bearing mechanical systems- the optimal robust design regarding uncertainty of parameters (material properties, loading szenarios, etc.) as well as uncertainty of the manufacturing quality. To this end we use simulation-based optimization of geometry, topology and the placement of piezoelectric actuators, whereat we want to apply and extend modern robust optimization techniques. |
 | Collaborative Research Centre 666: Integral sheet metal design with higher order bifurcations - Development, Production, Evaluation Branches are found in a lot of sheet metal products. The CRC 666 studies two new techniques, called "Linear flow splitting" and "Linear bend splitting", to create integral sheet metal products with branches. Mathematical Optimization is the emphasis of two subprojects. The aim of the Contact: Hendrik Lüthen (luethen [at] mathematik.tu-darmstadt.de), Thea Göllner (goellner [at] mathematik.tu-darmstadt.de) or Daniela Koller (koller [at] mathematik.tu-darmstadt.de) |
SPP 1253: Advanced Numerical Methods for PDE Constrained Optimization with Application to Optimal Design and Control of a Racing Yacht in the America's CupThe goal of this project is the development, analysis, and implementation of robust and efficient optimization algorithms for the optimal design and control of a racing yacht competing in the America's Cup. The project focuses on the optimization of the hull-keel-winglet configuration toward drag minimization. This involves optimization problems including very complex and highly coupled systems of PDE constraints. The main research topics of the project are:
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 | Collaborative Research Centre 568: Flow and Combustion in Modern Gas Turbine Combustion Chambers of the FutureIn modern gas turbine combustion chambers, there are still many different aspects that are not fully understood. Contact: Stefan Ulbrich (ulbrich [at] mathematik.tu-darmstadt.de), Rolf Roth (rroth[at] mathematik.tu-darmstadt.de) |
LOEWE-Zentrum AdRIA (Adaptronik-Research, Innovation, Application)Adaptronics is an interdisciplinary science dealing with mechanical structures which adjust autonomously to changing conditions. In order to realize such adaptive structures, actuator and sensor systems as well as real-time-capable controllers are developed. Adaptive structures have many possible fields of application among them active vibration control. Contact: Stefan Ulbrich (ulbrich [at] mathematik.tu-darmstadt.de), Franziska Plehn (plehn[at] mathematik.tu-darmstadt.de) | |
Adaptive Multigrid Methods for Fluid-Structure Interaction OptimizationStrong fluid structure coupling is a part of many technical systems. In recent years, encouraging progress has been made concerning the numerical simulation of Fluid-Structure Interaction (FSI) problems. The aim of this project is to combine methods for PDE constrained optimization, adaptivity and FSI simulation to develop an efficient adaptive multigrid method for Fluid-Structure Interaction optimization. Thus we go for an adjoint based Trust-Region SQP method that allows adaptive refinement of both, spatial and temporal grids. Contact: Stefan Ulbrich (ulbrich [at] mathematik.tu-darmstadt.de), Michael Schäfer ( schaefer [at] fnb.tu-darmstadt.de), Sarah Kessler (skessler [at] mathematik.tu-darmstadt.de) | |
Generation of Certificates for the Infeasibility of technical CapacitiesThis project is part of the BMWi project "Investigation of the technical capacities of gas networks", in which six research partners and one gas transportation company are involved. The technical capacities determine the upper bounds on the amount of gas that can be charged into or discharged from a gas network, which limit the revenue of a gas transportation company. Therefore, a central aspect is to compute the technical capacities. Contact: Marc Pfetsch (pfetsch [ a t ] opt [ d o t ] tu-darmstadt [ d o t ] de), Imke Joormann (joormann [ a t ] mathematik [ d o t ] tu-darmstadt [ d o t ] de) |
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Research Group Optimization
Ursula Röder
roeder (at) mathematik.tu-darmstadt.de
Phone: +49 (0) 6151 16-4700
Fax: +49 (0) 6151 16-3954
Olga Vanzura
vanzura (at) mathematik.tu-darmstadt.de
Phone: +49 (0) 6151 16-4703
Fax: +49 (0) 6151 16-3954
Dolivostraße 15
64293 Darmstadt
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