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Damped dynamic substructures
Author(s) -
Leung A. Y. T.
Publication year - 1988
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.1620261102
Subject(s) - substructure , stiffness , flexibility method , modal , flexibility (engineering) , convergence (economics) , natural frequency , component (thermodynamics) , normal mode , structural engineering , modal analysis , direct stiffness method , mode (computer interface) , mathematical analysis , mathematics , stiffness matrix , vibration , computer science , physics , engineering , materials science , finite element method , acoustics , statistics , polymer chemistry , economics , thermodynamics , economic growth , operating system
Abstract The dynamic substructure method is extended to lightly or heavily damped systems. Both internal and external dampings are considered. The damped dynamic flexibility associated with the slave co‐ordinates is first expanded in terms of the damped fixed interface natural modes and the condensed dynamic stiffness associated with the master co‐ordinates is formed subsequently. The convergence of the condensed dynamic stiffness with respect to the damped natural modes can be improved by means of the static matrices. Since the dynamic stiffness method is equivalent to the modal synthesis method, the component mode method and Kron's method, the theory presented here is readily applicable to these methods are restricted to symmetric damping matrices.