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Overview of Craig‐Bampton Substructuring Approaches for Model Order Reduction of Nonclassically Damped Systems
Author(s) -
Gruber Fabian M.,
Rixen Daniel J.
Publication year - 2018
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.201800242
Subject(s) - eigenvalues and eigenvectors , reduction (mathematics) , representation (politics) , model order reduction , mathematics , state space , space (punctuation) , order (exchange) , mathematical analysis , control theory (sociology) , computer science , physics , algorithm , geometry , projection (relational algebra) , statistics , control (management) , finance , quantum mechanics , artificial intelligence , politics , political science , law , economics , operating system
The classical Craig‐Bampton method (1968) does not take any damping effects into account for the model order reduction of damped systems. One procedure to handle nonclassically damped systems is to transform the second‐order differential equations into state‐space representation. Solving the corresponding eigenvalue problem allows the damped equations to be decoupled, but complex eigenmodes and eigenvalues occur. A comparison between different formulations for nonclassically damped systems is given and demonstrated by an example.