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含陀螺效应的声表面波波动方程的求解
引用本文:李良儿,施文康.含陀螺效应的声表面波波动方程的求解[J].传感技术学报,2005,18(3):565-569.
作者姓名:李良儿  施文康
作者单位:浙江海洋学院,电气工程系,浙江,舟山,316004;上海交通大学,电子信息与电气工程学院,上海,200030
摘    要:含陀螺效应的声表面波(SAW)波动方程的求解是分析旋转压电基体SAW传播特性和设计SAW角速度传感器的理论基础.以旋转条件下压电基体声表面波方程的建立和求解为研究内容,推导了含陀螺效应的Christoffel方程的一般表达式,提出了在求解中必须注意对解耦波的判别及进行相应的处理,设计了计算机数值求解的软件,并给出了流程.以新型压电材料硅酸镓镧作为求解的实例,验证了算法的可行性.理论与算法可为与陀螺效应有关的SAW器件的设计提供参考.

关 键 词:声表面波  陀螺效应  求解波动方程  解耦
文章编号:1005-9490(2005)0565-05
收稿时间:2004-11-16
修稿时间:2004年11月16日

Study of Solving wave Equation of Surface Acoustic waves with Gyroscopic Effect
L I L i anger,S H I Wenkang.Study of Solving wave Equation of Surface Acoustic waves with Gyroscopic Effect[J].Journal of Transduction Technology,2005,18(3):565-569.
Authors:L I L i anger  S H I Wenkang
Abstract:The Solutions of Surface Acoustic Wave(SAW) wave equation with gyroscopic effect is the theory foundation of analyzing the propagation characteristics of SAW on rotated piezoelectric substrate and designing SAW angular rate sensor.The establishment and resolving of the SAW wave equations under rotation condition are researched.The general expressions of Christoffel equation with gyroscopic effect are derived,and it was put forward that the judgment and transaction of decoupling wave must be given high attention.The numerical calculation software is designed,and the calculation flow is given also.As an example of numerical solution,the La3Ga5SiO4 material is calculated and the feasibility of algorithm is validated.The theory and algorithm of this paper can provide some guides for the design of SAW devices related to gyroscopic effect.
Keywords:surface acoustic waves  gyroscopic effect  solving wave equations  decoupling
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