TY - JOUR
T1 - Component mode synthesis methods for non-proportionally damped systems
AU - Morgan, Jeffrey A.
AU - Pierre, Christophe
AU - Hulbert, Gregory M.
PY - 1999
Y1 - 1999
N2 - This paper presents several new methods of component mode synthesis (CMS) for non-proportionally damped systems. In contrast to existing CMS approaches, these methods are based upon a first-order state-space formulation which engenders complex-valued modal vectors, transformation matrices, and reduced structural matrices. Four new methods are presented. These are baseband and non-baseband versions of `constraint modes' and `residual flexibility' methods. The constraint modes methods are applicable when existing finite element matrices can be employed for analytical implementation. The residual flexibility methods are used within an experimentally-based implementation with test data. The experimentally-based methodology produces matrices that are compatible with the analytical matrices; thus, system models comprising both types of matrices can be analyzed as a single assembly. The performances of the new methods are assessed using a system of two coupled beams with non-proportional viscous damping. Good results are obtained for all methods, when compared to calculated results based on modeling the entire structure.
AB - This paper presents several new methods of component mode synthesis (CMS) for non-proportionally damped systems. In contrast to existing CMS approaches, these methods are based upon a first-order state-space formulation which engenders complex-valued modal vectors, transformation matrices, and reduced structural matrices. Four new methods are presented. These are baseband and non-baseband versions of `constraint modes' and `residual flexibility' methods. The constraint modes methods are applicable when existing finite element matrices can be employed for analytical implementation. The residual flexibility methods are used within an experimentally-based implementation with test data. The experimentally-based methodology produces matrices that are compatible with the analytical matrices; thus, system models comprising both types of matrices can be analyzed as a single assembly. The performances of the new methods are assessed using a system of two coupled beams with non-proportional viscous damping. Good results are obtained for all methods, when compared to calculated results based on modeling the entire structure.
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M3 - Conference article
AN - SCOPUS:0032678373
SN - 1046-6770
VL - 2
SP - 1472
EP - 1480
JO - Proceedings of the International Modal Analysis Conference - IMAC
JF - Proceedings of the International Modal Analysis Conference - IMAC
T2 - Proceedings of the 1999 17th International Modal Analysis Conference, IMAC. Part 1 (of 2)
Y2 - 8 February 1999 through 11 February 1999
ER -