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Analysis of a Monolithic, Nonperiodic Array of Quartz Crystal Microbalances

机译:石英晶体微天平的单片非周期性阵列的分析

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摘要

We study thickness-shear and thickness-twist vibrations of a crystal plate with a nonperiodic array of surface mass layers for mass sensor applications. A theoretical analysis is performed. The equations of anisotropic elasticity are used. An analytical solution is obtained for the free vibration eigenvalue problem using trigonometric series from which the resonant frequencies and mode shapes are calculated. Results show that, depending on the geometric and physical parameters of the mass layers, the vibration may be mainly trapped under some of the mass layers but not under others.
机译:我们研究质量传感器应用中具有非周期性表面质量层阵列的晶体板的厚度剪切和厚度扭曲振动。进行理论分析。使用各向异性弹性方程。使用三角序列获得了自由振动特征值问题的解析解,并由此计算了共振频率和振型。结果表明,取决于质量层的几何和物理参数,振动可能主要陷于某些质量层下,而不能捕获在其他质量层下。

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  • 来源
    《Japanese journal of applied physics》 |2013年第7issue1期|077301.1-077301.4|共4页
  • 作者单位

    Department of Mechanical and Materials Engineering, University of Nebraska-Lincoln, Lincoln, NE 68588-0526, U.S.A.;

    Department of Mechanical and Materials Engineering, University of Nebraska-Lincoln, Lincoln, NE 68588-0526, U.S.A.,Piezoelectric Device Laboratory, School of Mechanical Engineering and Mechanics, Ningbo University, Ningbo, Zhejiang 315211, China;

    Piezoelectric Device Laboratory, School of Mechanical Engineering and Mechanics, Ningbo University, Ningbo, Zhejiang 315211, China;

    Department of Chemistry, Medical Technology, and Physics, Monmouth University, West Long Branch, NJ 07764-1898, U.S.A.,Advanced Technology Group, MacAulay-Brown, Inc., Dayton, OH 45430, U.S.A.;

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