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总览 评价 郭永强 1， ， 陈伟球 2，* （ 1、 兰州大学土木工程与力学学院； 2、 浙江大学工程力学系； ） 摘要： 基于三维压电体的基本方程，构建了修正的回传射线矩阵列式用于分析多层压电板中波的传播问题。首先，从状态方程出发得到了内含待求波幅的平面
郭永强1，， 陈伟球2，*
（
1、兰州大学土木工程与力学学院； 2、浙江大学工程力学系； ）
摘要：
基于三维压电体的基本方程，构建了修正的回传射线矩阵列式用于分析多层压电板中波的传播问题。首先，从状态方程出发得到了内含待求波幅的平面波形式解。然后，在回传射线矩阵法的框架下，建立了相位关系和散射关系，但避免了传统上的矩阵求逆操作。在相位关系中，在非均匀波情形时需特别注意排除具有正指数的指数函数。数值结果显示新的列式是无条件稳定的，且能给出所有的表面波、界面波和体波解，因此适宜用于声表面波和体波器件的分析，特别是高频性能研究。
关键词：
压电层合板；回传射线矩阵法；波动；弥散关系
Guo Yongqiang1,， Chen Weiqiu2,*
（
1、School of Civil Engineering and Mechanics, Lanzhou University； 2、Department of Engineering Mechanics, Zhejiang University, Yuquan Campus； ）
Abstract：
The method of reverberation-ray matrix (MRRM) are modified and extended to the analysis of wave propagation in multilayered acoustic wave devices based on three-dimensional linear piezoelectricity. By the plane wave solution assumption, state equations are established whose solutions are expressed with unknown wave amplitudes. Within the framework of MRRM, the phase and scattering relations are properly set up to determine the unknowns without involving exponentially growing functions and matrix inversion operations in an easy and uniform way. Thus the present MRRM is unconditionally stable and free from limitations to the frequency, the thickness of individual layers and the total number of layers. The surface waves, the interface waves and the bulk waves are all included in the formulation. Therefore, the present formulation applies to SAW devices as well as BAW devices. Numerical examples are given to illustrate the well performance of the proposed formulation of MRRM for the analysis of free waves in multilayered acoustic wave devices.
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