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Three-dimensional analysis of spurious vibrations in rectangular AT-cut quartz plates

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3 Author(s)
Ishizaki, A. ; Dept. of Electr. & Inf. Eng., Tokyo Metropolitan Univ., Japan ; Sekimoto, H. ; Watanabe, Y.

This paper presents the three-dimensional analysis of spurious vibrations in rectangular AT-cut quartz plates, based on exact equations of motion. According to the classical concept, three-dimensional displacements are described with linear combination of the eigenmodes guided along the X crystal axis. Guided eigenmodes are determined by applying the one-dimensional finite element method to the two-dimensional problem, and their amplitudes are determined using the variational technique for the three-dimensional problem. By means of the present method, we can perform the three-dimensional analysis of spurious vibrations with a high degree of accuracy within a reasonable computation time. As numerical examples, frequency spectra for rectangular AT-cut quartz plates are computed and compared with Koga's experimental data. A convergence study is carried out for the mode for which the frequency spectra are not satisfactory, and corresponding vibrational patterns are also shown

Published in:

Frequency Control Symposium, 1996. 50th., Proceedings of the 1996 IEEE International.

Date of Conference:

5-7 Jun 1996