Model Order Reduction for Parametric Non‐linear Mechanical Systems: State of the Art and Future Research

Model Order Reduction for Parametric Non‐linear Mechanical Systems: State of the Art and Future... 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. (© 2017 Wiley‐VCH Verlag GmbH & Co. KGaA, Weinheim) http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Proceedings in Applied Mathematics & Mechanics Wiley

Model Order Reduction for Parametric Non‐linear Mechanical Systems: State of the Art and Future Research

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Publisher
Wiley Subscription Services, Inc., A Wiley Company
Copyright
Copyright © 2017 Wiley Subscription Services
ISSN
1617-7061
eISSN
1617-7061
D.O.I.
10.1002/pamm.201710011
Publisher site
See Article on Publisher Site

Abstract

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. (© 2017 Wiley‐VCH Verlag GmbH & Co. KGaA, Weinheim)

Journal

Proceedings in Applied Mathematics & MechanicsWiley

Published: Jan 1, 2017

References

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