Effects of mode localization on input-output directional properties of structures

A. Muǧan*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

6 Citations (Scopus)


The singular-value decomposition (SVD) is employed to study the effects of localization phenomena on input-output relationships, and power and energy transmission ratios of structures. For weakly and strongly coupled systems, existence of strong localization of singular vectors and abrupt veering of singular value loci are shown. Occurrence of strong localization causes abrupt changes in input-output directional properties. In contrast to eigenvalues, singular values do not veer away by introducing a disorder in weakly coupled systems. In particular, the use of singular values and vectors is computationally advantageous in considering multiple load cases. While eigenvalue-based analyses give information about the resonance frequencies and vibration modes of a structure, singular values of the structure are related to the forced response characteristics and give the dynamic behavior in the frequency domain. Representative examples in structural dynamics are presented.

Original languageEnglish
Pages (from-to)45-63
Number of pages19
JournalJournal of Sound and Vibration
Issue number1
Publication statusPublished - Nov 2002


This research was supported in part by Istanbul Technical University Research Foundation. The author would like to thank Prof. Noboru Kikuchi and Assoc. Prof. Gregory M. Hulbert of the University of Michigan and the anony mous reviewer for helpful suggestions and corrections.

FundersFunder number
Istanbul Technical University Research Foundation


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