Model order reduction for parametric non-linear mechanical systems: state of the art and future research

One research objective in the Priority Program 1897 "Calm, Smooth and Smart" of the German Research Foundation (DFG - SPP 1897) is the development of model order reduction techniques for parametric non-linear mechanical systems to enable efficient design, simulation, analysis, optimization and control of those. As a starting point for our research, this contribution provides an overview of the main challenges and well-established reduction techniques in this research area, at that stage, neglecting parameter dependencies. This includes simulation-based as well as simulation-free reduction bases generation and hyperreduction of the non-linear force terms. An extension of the Krylov directions in moment matching based on the concept of modal derivatives is also sketched.     «

One research objective in the Priority Program 1897 "Calm, Smooth and Smart" of the German Research Foundation (DFG - SPP 1897) is the development of model order reduction techniques for parametric non-linear mechanical systems to enable efficient design, simulation, analysis, optimization and control of those. As a starting point for our research, this contribution provides an overview of the main challenges and well-established reduction techniques in this research area, at that stage, neglect...     »