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Dynamic condensation: The ‘Free Mode’ method
Author(s) -
Dubigeon S.,
Peseux B.
Publication year - 1994
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.1620372007
Subject(s) - flexibility (engineering) , condensation , computer science , mode (computer interface) , simple (philosophy) , residual , matrix (chemical analysis) , algorithm , flexibility method , mathematical optimization , mathematics , engineering , finite element method , structural engineering , materials science , physics , statistics , philosophy , epistemology , composite material , thermodynamics , operating system
The dynamic condensation methods make it possible to reduce the size of large matrix systems occurring in mechanics in order to obtain an accurate description of behaviours. In the first instance, we have reviewed the methods currently available. Then, we have presented the latest improvements which have been introduced with respect to the ‘Free Mode’ method. The use of an innovative technique for the determination of residual flexibility matrices, the consideration of an additional term in the expansions and a shift in frequencies have made this method particularly accurate and worthy of interest. In the present paper, we have presented an example which, however simple, has the merit of highlighting the qualities of the proposed method by drawing comparisons with the results achieved through the application of other methods.