Development of a Wittrick-Williams algorithm for the spectral element model of elastic-piezoelectric two-layer active beams

Research output: Journal Publications and Reviews (RGC: 21, 22, 62)21_Publication in refereed journalpeer-review

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  • Usik Lee
  • Joohong Kim
  • Jinho Shin
  • A. Y T Leung


Original languageEnglish
Pages (from-to)305-318
Journal / PublicationInternational Journal of Mechanical Sciences
Issue number2
Publication statusPublished - Feb 2002
Externally publishedYes


In this paper, a Wittrick-Williams algorithm is developed for the elastic-piezoelectric two-layer active beams. The exact dynamic stiffness matrix (or spectral element matrix) is used for the development. This algorithm may help calculate all the required natural frequencies, which lie below any chosen frequency, without the possibility of missing any due to close grouping or due to the sign change of the determinant of spectral element matrix via infinity instead of via zero. The uniform and partially patched active beams are considered as the illustrative examples to confirm the present algorithm. © 2002 Elsevier Science Ltd. All rights reserved.

Research Area(s)

  • Natural frequency, Spectral element model, Two-layer active beam, Wittrick-Williams algorithm

Citation Format(s)