Structural modification analysis using Rayleigh quotient iteration

W. M. To, D. J. Ewins

Research output: Contribution to journalArticlepeer-review

18 Citations (Scopus)


This paper highlights the application to structural dynamics of the sensitivity analysis methods developed by numerical analysts and presents a historical development of first- and higher-order eigenvalue and eigenvector sensitivities. Different formulae for an eigenvalue sensitivity are presented and it is shown that all of these are implicitly the same. A condition number is presented to give the limited bound of application for the first-order eigenvalue and eigenvector sensitivities. An alternative structural modification method based on Rayleigh Quotient Iteration is presented. A lumped spring-mass system with 7 degrees-of-freedom (7DoF) is used to show the applicability of the Rayleigh quotient iteration method.

Original languageEnglish
Pages (from-to)169-179
Number of pages11
JournalInternational Journal of Mechanical Sciences
Issue number3
Publication statusPublished - 1990
Externally publishedYes


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