Development of a Wittrick–Williams algorithm for the spectral element model of elastic–piezoelectric two-layer active beams
✍ Scribed by Usik Lee; Joohong Kim; Jinho Shin; A.Y.T Leung
- Publisher
- Elsevier Science
- Year
- 2002
- Tongue
- English
- Weight
- 152 KB
- Volume
- 44
- Category
- Article
- ISSN
- 0020-7403
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✦ Synopsis
In this paper, a Wittrick-Williams algorithm is developed for the elastic-piezoelectric two-layer active beams. The exact dynamic sti ness 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 inÿnity instead of via zero. The uniform and partially patched active beams are considered as the illustrative examples to conÿrm the present algorithm.