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Optimal component mode synthesis for medium frequency problem
Author(s) -
Herran Mathieu,
Nélias Daniel,
Combescure Alain,
Chalons Hervé
Publication year - 2010
Publication title -
international journal for numerical methods in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.421
H-Index - 168
eISSN - 1097-0207
pISSN - 0029-5981
DOI - 10.1002/nme.3064
Subject(s) - orthogonalization , basis (linear algebra) , diagonal , matrix (chemical analysis) , computation , frequency domain , computer science , diagonal matrix , control theory (sociology) , coupling (piping) , component (thermodynamics) , mass matrix , sort , mode (computer interface) , transformation matrix , algorithm , mathematics , mathematical analysis , physics , geometry , engineering , control (management) , artificial intelligence , materials science , composite material , nuclear physics , thermodynamics , mechanical engineering , neutrino , operating system , kinematics , classical mechanics , information retrieval
Abstract The component mode synthesis (CMS) with fixed interface (denoted Craig–Bampton) method uses a combination of static and dynamic modes. The usual definition of this CMS leads to a coupling between static and dynamic modes which are not orthogonal with respect to the stiffness matrix. This type of basis is not well suited for dynamic explicit computations, because the resulting mass matrix is not diagonal. If one keeps the same basis mode set but uses an orthogonalization process with respect to the mass matrix, the quality of the reduced Craig–Bampton system is kept but the basis vectors are combined differently. The aim of this paper is to propose a new way to control the accuracy of the reduced dynamic system for a specific frequency domain. Thus a new CMS is defined in order to be accurate in the medium frequency range. Copyright © 2010 John Wiley & Sons, Ltd.