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BASEBAND METHODS OF COMPONENT MODE SYNTHESIS FOR NON-PROPORTIONALLY DAMPED SYSTEMS

✍ Scribed by JEFFREY A. MORGAN; CHRISTOPHE PIERRE; GREGORY M. HULBERT

Publisher
Elsevier Science
Year
2003
Tongue
English
Weight
149 KB
Volume
17
Category
Article
ISSN
0888-3270

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✦ Synopsis

This paper presents several new baseband methods of component mode synthesis (CMS) for non-proportionally damped systems. In contrast to most 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. Two new methods are presented. These are baseband versions of 'constraint modes' and 'residual flexibility' methods. The constraint modes method is applicable when existing finite element matrices can be employed for analytical implementation. The residual flexibility method is 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 analysed as a single assembly. Theoretical developments are presented in this paper and conclusions are drawn.

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In reference [1], the authors consider an n-degree-of-freedom linear system represented by for all te0, where the vectors The authors apply a linear change of co-ordinates to system (1) to obtain y¨(t)+C y˙(t)+L k y(t)=h(t), (2) for all tr0, where y(t), h(t) $ R n , C $ R n×n and L k $ R n×n is a