A lattice model of the thickness-mode piezoelectric transducer
A lattice model of the thickness-mode piezoelectric transducer
复制标题
厚度模式压电换能器的晶格模型
DOI：
10.1109/t-uffc.1986.26795
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发表时间：
1986
期刊：
影响因子：
--
通讯作者：
M. N. Jackson
中科院分区：
文献类型：
--
作者：
G. Hayward;M. N. Jackson
本文应用线性系统理论，提出了一种新的厚度模式压电换能器的三端口模型。一个离散的双向晶格被用来描述机械波的传播和连续的传递函数来表示电参数。当以框图形式呈现时，获得了对压电相互作用的性质的极其有价值的洞察。晶格的概念被扩展到多层结构的分析，并在离散时间域中实现时，与实验数据的密切一致。一些实验和模拟结果进行了比较。I.引言传统的厚度模式压电换能器的模型总是利用transmissionline模拟，其中系统的机电性能通过电气网络的概念进行评估。这方面的示例包括Mason [1]的等效电路和最近的KLM [2]模型，其使用中心抽头传输线来模拟声波传播。在这种形式下，这两种模型也很容易适用于多层换能器结构的分析。然而，电模拟具有一些缺点，这限制了它们在应用于压电换能器建模时的灵活性[3]。对换能过程本质的物理洞察常常被掩盖，因此，外部电气和机械负载条件对换能器行为的影响难以确定。为了克服这一点，海沃德[3]提出了一种替代策略，他采用了系统反馈方法，
Abstmct-The development of a new three-port model of the thickness-mode piezoelectric transducer, employing linear systems theory, is presented. A discrete bidirectional lattice is used to describe mechanical wave propagation and continuous transfer functions to represent the electrical parameters. When presented in block-diagram format, an extremely valuable insight is gained into the nature of piezoelectric interaction. The lattice concept is extended to the analysis of multilayered structures and, when implemented in the discrete time domain, close agreement with experimental data is obtained. A number of experimental and simulation results are included for comparison. I. INTRODUCTION ONVENTIONAL models of the thickness-mode piezoelectric transducer invariably utilize transmissionline analogs in which the electromechanical properties of the system are evaluated by means of electrical network concepts. Examples of this include the equivalent circuits of Mason [l] and the more recent KLM [2] model, which uses a center-tapped transmission line to model acoustic wave propagation. In this form both models are also readily adapted for the analysis of multilayered transducer structures. However, electrical analogs possess some disadvantages which limit their flexibility when applied to piezoelectric transducer modelling [3]. Physical insight into the nature of the transduction process is often masked, and as a'result the influence of external electrical and mechanical load conditions on transducer behaviour is difficult to determine. To overcome this, an alternative strategy has been proposed by Hayward [3] who adopted a systems feedback approach to