A linearized procedure for solving inverse sensitivity equations of non-defective systems

Research output: Journal Publications and ReviewsRGC 21 - Publication in refereed journalpeer-review

4 Scopus Citations
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Author(s)

  • A. Y T Leung
  • L. F. Chen
  • W. L. Wang

Detail(s)

Original languageEnglish
Pages (from-to)513-524
Journal / PublicationJournal of Sound and Vibration
Volume259
Issue number3
Publication statusPublished - 2003

Abstract

A linearized algorithm for solving inverse sensitivity equations of non-defective systems is presented. It is based on the orthonormal decomposition of the first order directional derivatives and directional continuity along τ of the τ - λ base. The least-squares methods which minimize the trace of eigenmode matrix suggested by Pešek and Lallement, respectively, for self-adjoint systems are extended to general non-defective systems in this paper. Moreover, the new algorithm has intuitive simple geometrical significance and is consistent with the first order Taylor expansion of the τ - λ base. The numerical results calculated from the aforementioned three methods are compared, respectively, with the exact solution using two simulation examples. It demonstrates that the results of the proposed algorithm are the nearest to the exact solution.

Citation Format(s)

A linearized procedure for solving inverse sensitivity equations of non-defective systems. / Leung, A. Y T; Chen, L. F.; Wang, W. L.
In: Journal of Sound and Vibration, Vol. 259, No. 3, 2003, p. 513-524.

Research output: Journal Publications and ReviewsRGC 21 - Publication in refereed journalpeer-review