Influence of Viscosity Loss on Coupled Vibrations of Ultrahigh Frequency AT-Cut Quartz Plates
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概要
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We numerically analyze the influence of viscosity loss in quartz on the unwanted coupling between fundamental thickness-shear (TS) and spurious modes. Classical mode-matching is used to solve the two-dimensional coupled vibrations in an AT-cut quartz plate with an inverted-mesa shape. Using this technique, we calculate the loci of admittance near the main TS response as a function of the loss factor. The temperature behavior of frequency and conductance is also examined for the main TS resonance. The results reveal that, for two strongly coupled vibrations of TS and spurious modes, two resonances on the real frequency-axis are combined into one with increasing loss, although there are still two resonances in the complex frequency plane. We also find that the conductance–temperature behavior of the main TS response is more sensitive to mode coupling than the frequency–temperature behavior, and it therefore works well as a detector of mode coupling.
- Published by the Japan Society of Applied Physics through the Institute of Pure and Applied Physicsの論文
- 2006-05-30
著者
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Watanabe Yasuaki
Graduate School of Science and Engineering, Tokyo Metropolitan Univ.
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Sekimoto Hitoshi
Graduate School Of Engineering Tokyo Metropolitan University
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Goka Shigeyoshi
Graduate School Of Engineering Tokyo Metropolitan University
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Onozaki Yoshihisa
Graduate School Of Engineering Tokyo Metropolitan University
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Onozaki Yoshihisa
Graduate School of Engineering, Tokyo Metropolitan University, Hachioji, Tokyo 192-0397, Japan
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Watanabe Yasuaki
Graduate School of Engineering, Tokyo Metropolitan University, 1-1 Minamiosawa, Hachioji, Tokyo 192-0397, Japan
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