A two-dimensional analysis of surface acoustic waves in finite elastic plates with eigensolutions

作     者：WANG Ji DU JianKe PAN QiaoQiao 

作者机构：Piezoelectric Device Laboratory Department of Mechanics and Engineering Science School of Engineering Ningbo University Ningbo 315211 China Piezoelectric Device Laboratory Department of Mechanics and Engineering Science School of Engineering Ningbo University Ningbo 315211 China Piezoelectric Device Laboratory Department of Mechanics and Engineering Science School of Engineering Ningbo University Ningbo 315211 China 

出 版 物：《Science China(Physics,Mechanics & Astronomy)》 (中国科学：物理学、力学、天文学（英文版）)

年 卷 期：2007年第50卷第5期

页      面：631-649页

核心收录：

学科分类：07[理学] 08[工学] 

基　　金：Supported by Qianjiang River Fund established by Zhejiang Provincial Government and Ningbo University and administered by Ningbo University and the National Natural Science Foundation of China (Grant No. 10572065) 

主　　题：surface, acoustic, waves, Rayleigh, propagation, plate, velocity, vibration, resonator 

摘      要：It is generally known that surface acoustic waves, or Rayleigh waves, have different mode shapes in infinite plates. To be precise, there are both exponentially decaying and growing components in plates appearing in pairs, representing symmetric and antisymmentric modes in a plate. As the plate thickness increases, the combined modes will approach the Rayleigh mode in a semi-infinite solid, exhibiting surface acoustic wave deformation and velocity. In this study, the two-dimensional theory for surface acoustic waves in finite plates is extended to include the exponentially growing modes in the expansion function. With these extra equations, we study the surface acoustic waves in a plate with different thickness to examine the coupling of the exponentially decaying and growing modes. It is found that for small thick- ness, the two groups of waves are strongly coupled, showing the significance of including the effect of thickness in analysis. As the thickness increases to certain values, such as more than five wavelengths, the exponentially decaying modes alone will be able to predict vibrations of surface acoustic wave modes accurately, thus simplifying the equations and solutions significantly.