Effect of Electrodes on Force–Frequency Characteristics of Rotated Y-Cut Quartz Resonators

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概要

• 論文の詳細を見る

• The change in the resonance frequency of the thickness-shear vibration of rotated Y-cut quartz resonators using various electrode materials was studied. We used a three-dimensional finite element method to calculate the strain distribution of a circular plate and the electrodes under a pair of diametrical forces so that the anisotropy of the blank can be accurately considered. The relationship between mass-loading and force–frequency ($F$–$ f$) characteristics is obtained for several types of electrode material. The results show that, for some electrode materials, the change in the $F$–$ f$ coefficients induced by the initial strain field distribution in the electrode through the third-order elastic constants is significant, but for others, the variations are small. We also find that the change is proportional to the thickness of the electrode. Furthermore, different materials have different effects. For most metals, such as gold, silver, copper, aluminum and nickel, with the increase in thickness, the $F$–$ f$ coefficient increase. However, for chromium, the increase in thickness may result in a lower $F$–$ f$ coefficient.

• Published by the Japan Society of Applied Physics through the Institute of Pure and Applied Physicsの論文
• 2006-12-15

著者

• Zhang De

  Institute Of Acoustics State Key Lab Of Modern Acoustics Nanjing University

• Chen Jin

  Institute of Acoustics, Department of Electronic Science and Engineering, Nanjing University, No. 22 Hankou Road, Nanjing, Jiangsu 210093, China

• Xiong Jun

  Institute of Acoustics, Department of Electronic Science and Engineering, Nanjing University, No. 22 Hankou Road, Nanjing, Jiangsu 210093, China

• Gong Xun

  Institute of Acoustics, Department of Electronic Science and Engineering, Nanjing University, No. 22 Hankou Road, Nanjing, Jiangsu 210093, China

• Zhang De

  Institute of Acoustics, Department of Electronic Science and Engineering, Nanjing University, No. 22 Hankou Road, Nanjing, Jiangsu 210093, China

• Jing Yun

  Institute of Acoustics, Department of Electronic Science and Engineering, Nanjing University, No. 22 Hankou Road, Nanjing, Jiangsu 210093, China

• Gong Guiqiu

  Institute of Acoustics, Department of Electronic Science and Engineering, Nanjing University, No. 22 Hankou Road, Nanjing, Jiangsu 210093, China

• Shang Xiaoli

  Institute of Acoustics, Department of Electronic Science and Engineering, Nanjing University, No. 22 Hankou Road, Nanjing, Jiangsu 210093, China

• Duan Jie

  Institute of Acoustics, Department of Electronic Science and Engineering, Nanjing University, No. 22 Hankou Road, Nanjing, Jiangsu 210093, China

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