Abstract
We report a new model in analysis of the spherical thin-shell piezoelectric transducers based on the principle of linear superposition. We have established a parallel-connected circuit-network to describe a spherical thin-shell piezoelectric transducer. When excited by a signal with multiple frequency components, this network would be a series of parallel-connected equivalent-circuits. Each circuit would have a distinctive radiation-impedance arising from an individual frequency component. Each frequency component would act independently on the electric/mechanic-terminals. A cumulative output-signal from the mechanic/electric-terminals is measured as the acoustic/electric output. As a prototype example in testing the new model, we have designed two spherical shin-shell transducers, applied a gated sine electric-signal as the initial excitation, and recorded the experimental information. The transient response and the output signals are calculated based on the new model. The results of calculation are in good agreement with that of experimental observation.
Highlights
A unique characteristic of the piezoelectric-materials is their ability of electric-mechanical transduction, converting mechanical energy to electrical energy or vice versa
A transient response of an acoustic transducer is critically important to the aforementioned applications
Such a simplified approach has its limitations in practical application: (i) by reducing the order on time, the charge Q on each surface of a transducer with respect to time variable is applicable only to the case of harmonic vibrations, as shown in the algebraic equation (S22) of Supplementary Material Note 1; (ii) two mechanic elements in the established electric-acoustic equivalent-circuit, namely, the radiation resistance and radiation mass, are the function of frequency
Summary
Lin Fa 1*, Jinpeng Mou 1, Yuxiao Fa 2, Xin Zhou 1, Yandong Zhang 1, Meng Liang 1, Pengfei Ding 1, Shaojie Tang 1, Hong Yang 1, Qi Zhang 1, Maomao Wang 1, Guihui Li 1 and Meishan Zhao 3. Reviewed by: Daniele Chiappini, Università degli Studi Niccolò Cusano, Italy Alexandre De Castro, Empresa Brasileira de Pesquisa Agropecuária (EMBRAPA), Brazil. Specialty section: This article was submitted to Computational Physics, a section of the journal
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