Bozkurt Ayhan
Electronics Engineering Program of Sabanci University, Orhanli, Tuzla, Istanbul, Turkey.
IEEE Trans Ultrason Ferroelectr Freq Control. 2008 Sep;55(9):2046-52. doi: 10.1109/TUFFC.896.
The radiation impedance of a piston transducer mounted in a rigid baffle has been widely addressed in the literature. The real and imaginary parts of the impedance are described by the first order Bessel and Struve functions, respectively. Although there are power series expansions for both functions, the analytic formulation of a lumped circuit is not trivial. In this paper, we present an empirical approach to the derivation of a lumped-circuit model for the radiation impedance expression, based on observations on the near-field behavior of stored kinetic and elastic energy. The field analysis is carried out using a finite element method model of the piston and surrounding fluid medium. We show that fluctuations in the real and imaginary components of the impedance can be modeled by series and shunt tank circuits, each of which shape a certain section of the impedance curve. Because the model is composed of lumped-circuit elements, it can be used in circuit simulators. Consequently, the proposed model is useful for the analysis of transducer front-end circuits.
安装在刚性障板中的活塞换能器的辐射阻抗在文献中已得到广泛探讨。阻抗的实部和虚部分别由一阶贝塞尔函数和斯特鲁夫函数描述。尽管这两个函数都有幂级数展开式，但集总电路的解析公式并非易事。在本文中，我们基于对存储的动能和弹性能量近场行为的观察，提出了一种推导辐射阻抗表达式集总电路模型的经验方法。使用活塞和周围流体介质的有限元方法模型进行场分析。我们表明，阻抗实部和虚部的波动可以由串联和并联谐振电路建模，每个电路塑造阻抗曲线的特定部分。由于该模型由集总电路元件组成，因此可用于电路模拟器。因此，所提出的模型对于换能器前端电路的分析很有用。
