An analysis of nonlinear thickness-shear vibrations of quartz crystal plates using the two-dimensional finite elementmethod.

Autor: Chen, Yangyang, Wu, Rongxing, Wang, Lihong, Jing, Huimin, Du, Jianke, Hu, Yuantai, Li, Guoqing, Wang, Ji
Předmět:
Zdroj: Mechanics of Advanced Materials & Structures; 2018, Vol. 25 Issue 5, p395-406, 12p
Abstrakt: A nonlinear analysis of high-frequency thickness-shear vibrations of AT-cut quartz crystal plates is presented with the two-dimensional finite element method. The Mindlin plate equations are truncated to the firstorder ones as an approximation, and then they are used for the formulation of nonlinear finite element analysis with all zero- and first-order displacements. The matrix equation of motion is established with the first-order harmonic approximation, and the generalized nonlinear eigensystem is solved by a direct iterative procedure. A displacement amplitude versus frequency curve and corresponding mode shapes are obtained and examined. The nonlinear finite element program is developed based on the earlier linear edition and can be utilized to predict nonlinear characteristics of miniaturized quartz crystal resonators in the design process. [ABSTRACT FROM AUTHOR]
Databáze: Complementary Index
Externí odkaz:
Nepřihlášeným uživatelům se plný text nezobrazuje