Rates of change of closed‐loop eigenvalues and eigenvectors of actively controlled structures

T. S. Pan, S. S. Rao, V. B. Venkayya

Research output: Contribution to journalArticlepeer-review

6 Scopus citations

Abstract

The sensitivity of the closed-loop eigenvalues and eigenvectors of actively controlled flexible structures with distinct eigenvalues is considered. The sensitivity information is essential in the optimization of large space structures with stability/performance robustness, closed-loop eigenvalues or damping ratios treated as objective or constraint functions. The efficiency of the analytical expressions derived for the rates of change of the closed-loop eigenvalues with respect to structural design variables is demonstrated through two numerical examples. The utility of the sensitivity of the closed-loop eigenvalues and eigenvectors in evaluating the derivatives of the stability and performance robustness indices is also indicated and illustrated through numerical examples.

Original languageEnglish (US)
Pages (from-to)1013-1028
Number of pages16
JournalInternational Journal for Numerical Methods in Engineering
Volume30
Issue number5
DOIs
StatePublished - Oct 5 1990
Externally publishedYes

ASJC Scopus subject areas

  • Numerical Analysis
  • Engineering(all)
  • Applied Mathematics

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