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The important modes of subsystems: A moment‐matching approach
Author(s) -
Liao BenShan,
Bai Zhaojun,
Gao Weiguo
Publication year - 2006
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.1940
Subject(s) - substructure , modal , matching (statistics) , coupling (piping) , moment (physics) , component (thermodynamics) , modal analysis , matrix (chemical analysis) , mode (computer interface) , scheme (mathematics) , computer science , reduction (mathematics) , algorithm , method of moments (probability theory) , topology (electrical circuits) , mathematics , engineering , structural engineering , mathematical analysis , physics , finite element method , geometry , classical mechanics , mechanical engineering , combinatorics , materials science , statistics , estimator , polymer chemistry , composite material , thermodynamics , operating system
Substructure coupling methods, such as the component mode synthesis (CMS) method, have been studied in structural dynamics analysis since 1960s. The modes of subsystems associated with the lowest frequencies are typically retained in these methods. In this paper, we present a coupling‐matrix based mode selection scheme for the CMS method, referred to as the CMS χ method. This new scheme is derived using a moment‐matching principle defined on the interface between substructures. It is compatible to the one in recently proposed optimal modal reduction (OMR) method due to Givoli et al . The improvements of the CMS χ method to the CMS and OMR methods are demonstrated by numerical examples from structural dynamics in both frequency and time domains. Copyright © 2006 John Wiley & Sons, Ltd.