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An exact component mode synthesis approach
Author(s) -
Suarez L. E.,
Singh M. P.
Publication year - 1988
Publication title -
earthquake engineering and structural dynamics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 2.218
H-Index - 127
eISSN - 1096-9845
pISSN - 0098-8847
DOI - 10.1002/eqe.4290160210
Subject(s) - eigenvalues and eigenvectors , modal , coupling (piping) , simple (philosophy) , component (thermodynamics) , scheme (mathematics) , mathematics , exact solutions in general relativity , modal analysis , element (criminal law) , modal analysis using fem , mathematical analysis , finite element method , computer science , modal testing , engineering , structural engineering , physics , mechanical engineering , materials science , philosophy , epistemology , quantum mechanics , political science , law , polymer chemistry , thermodynamics
The paper presents a method for synthesizing the modal properties of substructures to obtain the exact modal properties of a combined structure. Unlike the currently available modal synthesis approaches, the proposed approach does not require the solution of any transformed eigenvalue problem of the combined structure by conventional means. The substructures are assumed to be coupled by connecting elements and the coupling is done sequentially with one element at a time. The eigenvalues at each stage of coupling are obtained by solving a non‐linear characteristic equation. A simple Newton‐Raphson solution scheme is adequate for this purpose. Once the eigenvalues are determined, the eigenvectors can be calculated in closed form. Several examples demonstrating the applicability of the proposed approach are presented.