A Matrix Technique for Analyzing the Performance of Multilayered Front Matched and Backed Piezoelectric Ceramic Transducers
A Matrix Technique for Analyzing the Performance of Multilayered Front Matched and Backed Piezoelectric Ceramic Transducers
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分析多层前配后背压电陶瓷换能器性能的矩阵技术
DOI：
10.1007/978-1-4613-2943-5_25
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发表时间：
1980
期刊：
影响因子：
--
通讯作者：
G. Lewis
中科院分区：
文献类型：
--
作者：
G. Lewis
许多作者已利用传输线类比来预测压电换能器的频率响应。2,4,5,6 尽管这些类比非常有用，但随着匹配部分数量的增加，模型的复杂性也会增加。此外，当使用集总传输线类比时，在计算传递函数时必须小心，因为模型中的元素值往往会在某些频率下爆炸。因此，Martin 等人3 发现在计算换能器在这些频率下的性能时，有必要使用 L’Hospital 规则的修改后的数值形式。此外，大多数作者解决的是频域中的换能器分析问题，而很少参考实际的瞬态性能。 7 为了弥补这一差距，我们开发了一种矩阵公式化方法，简化了多个正面匹配和背面压电陶瓷的频率分析，并避免了某些频率下的不确定性问题。通过利用复杂的矩阵求逆，找到换能器的频率响应，并通过使用快速傅立叶变换例程，获得实际的瞬态响应。
Transmission line analogies have been utilized by many authors to predict the frequency response of piezoelectric transducers.2,4,5,6 Although these analogies are extremely useful, the model grows in complexity as the number of matching sections increase. Also, when lumped transmission line analogies are utilized, care must be exercised in calculating transfer functions since the element values in the model tend to blow up at certain frequencies. Thus, Martin et.al.3 have found it necessary to use a modified numerical form of L’Hospital’s rule when calculating the performance of transducers at these frequencies. Furthermore, most authors address the problem of transducer analysis in the frequency domain, and little reference has been made to the actual transient performance. 7 To bridge this gap, a matrix formularization has been developed which simplifies the frequency analysis of multiple front matched and backed piezoelectric ceramics and avoids the problem of indeterminancy at certain frequencies. By utilization of complex matrix inversion, the frequency response of the transducer is found and by using a fast Fourier transform routine the actual transient response is obtained.