The research group MSMS was established in April 2017 by Prof. Tamara Bechtold.
- Modeling and simulation of (micro-)mechatronic systems
- Model order reduction
- Topology optimization
Due to its nature as an energy converter, the coupling of multiple energy domains is an inherent feature of many microsystems. Their modeling at the continuum level and the numerical simulation of individual components is regarded as state of the art. However, as soon as a co-operation of the component with the surrounding electronics, the housing or other components is to be considered, more compact models with acceptable accuracy are necessary.
A reduced model is obtained by mathematical reduction of the number of degrees of freedom of a numerical model. The main advantage of a mathematical model or reduction (MOR) is its automatability and high accuracy. Our MOR methods can be applied directly to large differential equations systems, which arise, for example, in the Finite Element Method (FEM). Reduced multiphysical models can be solved in a time-efficient manner and can be used as a part of an optimization.
Modern mechatronic components operate based on principles of different physical domains. In addition, they often feature complex geometries. Modelling such components as a continuous systems, i.e. with partial differential equations, is highly complex and requires time-consuming numerical solutions. The finite element method is capable of these computations. As soon as the mechatronic components are to be simulated together with the associated control system, housing or other components, the models have to become more efficient.
Mathematical methods of model order reduction offer one approach to create compact but still accurate models. Reduced models drastically increase the computational efficiency of system simulations and design optimizations.