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A Dual Craig‐Bampton State‐Space Approach for Model Reduction of Damped Systems
Author(s) -
Gruber Fabian M.,
Rixen Daniel J.
Publication year - 2017
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.201710121
Subject(s) - reduction (mathematics) , coupling (piping) , dual (grammatical number) , flexibility (engineering) , representation (politics) , dual representation , state space , space (punctuation) , state (computer science) , interface (matter) , degrees of freedom (physics and chemistry) , control theory (sociology) , computer science , mathematics , physics , mathematical analysis , geometry , mechanics , algorithm , engineering , artificial intelligence , mechanical engineering , quantum mechanics , art , law , literature , operating system , control (management) , bubble , political science , statistics , politics , maximum bubble pressure method
The dual Craig‐Bampton method for the reduction of undamped systems is modified for the case of general viscous damping. The final reduction is based on the use of complex free interface normal modes, (residual) flexibility modes and state‐space rigid body modes. For the coupling of the substructures in state‐space representation, a dual coupling procedure based on the interface forces between adjacent substructures is used that is novel compared to other methods that commonly apply primal coupling procedures. (© 2017 Wiley‐VCH Verlag GmbH & Co. KGaA, Weinheim)