Effect of strain-gradients of surface micro-beams on frequency-shift of a quartz crystal resonator under thickness-shear vibrations

作     者：Ling-Cheng Kong Yuan-Tai Hu 

作者机构：Department of MechanicsHuazhong University of Science and Technology 

出 版 物：《Acta Mechanica Sinica》 (力学学报（英文版）)

年 卷 期：2015年第31卷第5期

页      面：647-652页

核心收录：

学科分类：080904[工学-电磁场与微波技术] 0809[工学-电子科学与技术（可授工学、理学学位）] 08[工学] 0802[工学-机械工程] 0801[工学-力学（可授工学、理学学位）] 

基　　金：supported by the National Science Foundation of China(Grants 11272127 and 51435006) Research Fund for the Doctoral Program of Higher Education of China(Grant 20130142110022) the Grant from the Impact and Safety of Coastal Engineering Initiative Program of Zhejiang Provincial Government at Ningbo University(Grant zj1213) 

主　　题：Micro-beams Strain-gradient Quartz crystal resonator Frequency shift 

摘      要：With introduction of the first-order strain-gradient of surface micro-beams into the energy density function,we developed a two-dimensional dynamic model for a compound quartz crystal resonator（QCR） system,consisting of a QCR and surface micro-beam *** frequency shift that was induced by micro-beams with consideration of strain-gradients is discussed in detail and some useful results are obtained,which have important significance in resonator design and applications.