nam a22 4500 528784072 20180924065516.0 cr unu---uuuuu 180924e20180824xx s 000 0 eng 10.3929/ethz-b-000284435 doi (ETHRESEARCH)oai:www.research-collection.ethz.ch:20.500.11850/284435 Krylov and Modal Subspace based Model Order Reduction with A-Priori Error Estimation [Elektronische Daten] [Daniel Spescha, Sascha Weikert, Stefanie Retka, Konrad Wegener] 2018 24 p. Open access ethresearch Versatile model order reduction techniques for the reduction of dynamic systems have been presented in the last decades. Krylov subspace based methods are considered as efficient in terms of computational effort and reduction order and can be used in order to match the transfer function locally. However, they lack of a simple and efficient automatisation and error estimation. On the other hand, modal reduction is popular because it leads to exactly matching eigenfrequencies. The static behaviour and the overall accuracy of the frequency response, though, are poor. In this paper, a combination of both methods is presented and discussed. In order to characterise a method for the reduction of mechanical models for the simulation of machine tools and similar mechatronic systems, first, the requirements on the model reduction method are derived. Criteria for the relative error of the frequency response function, the transmission zeros, and the poles are defined and the idea of defining a frequency range of interest is established. Subsequently, a combination of Krylov and modal subspaces for the reduction of dynamic systems with second-order structure and proportional damping is presented. It is shown that the combination of the bases of the two methods leads to a combination of the advantages and an elimination of the drawbacks of them both. Moreover, an estimation for the upper bound of the defined error criteria is developed and verified with numerical results. The result of this paper is an a priori parametrisable and numerically efficient model reduction method, which leads to reduced systems of low order with a definable error limit within a definable frequency range. In Copyright - Non-Commercial Use Permitted http://rightsstatements.org/page/InC-NC/1.0 ethresearch Dynamic system ethresearch Model order reduction (MOR) ethresearch Krylov subspace ethresearch Modal subspace ethresearch Component mode synthesis ethresearch Spescha Daniel joint author Weikert Sascha joint author Retka Stefanie joint author Wegener Konrad joint author http://hdl.handle.net/20.500.11850/284435 text/html WWW-Backlink auf das Repository (Open access) 1 Working Paper ethresearch ETHRESEARCH 856 40 http://hdl.handle.net/20.500.11850/284435 text/html WWW-Backlink auf das Repository (Open access) ETHRESEARCH 700 1- Spescha Daniel joint author ETHRESEARCH 700 1- Weikert Sascha joint author ETHRESEARCH 700 1- Retka Stefanie joint author ETHRESEARCH 700 1- Wegener Konrad joint author BK010053 XK010053 XK010000 ETHRESEARCH ETHRESEARCH ETHRESEARCH Working Paper Open access