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An enhanced Craig–Bampton method
Author(s) -
Kim JinGyun,
Lee PhillSeung
Publication year - 2015
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.4880
Subject(s) - transformation (genetics) , eigenvalues and eigenvectors , matrix (chemical analysis) , finite element method , reduction (mathematics) , residual , transformation matrix , mathematics , algorithm , mathematical optimization , computer science , engineering , geometry , structural engineering , physics , materials science , biochemistry , chemistry , kinematics , quantum mechanics , classical mechanics , composite material , gene
Summary In this paper, we propose a new component mode synthesis method by enhancing the Craig–Bampton (CB) method. To develop the enhanced CB method, the transformation matrix of the CB method is enhanced considering the effect of residual substructural modes and the unknown eigenvalue in the enhanced transformation matrix is approximated by using O'Callahan's approach in Guyan reduction. Using the newly defined transformation matrix, original finite element models can be more accurately approximated by reduced models. For this reason, the accuracy of the reduced models is significantly improved with a low additional computational cost. We here present the formulation details of the enhanced CB method and demonstrate its performance through several numerical examples. Copyright © 2015 John Wiley & Sons, Ltd.