On Transient Response of Piezoelectric Transducers

Abstract

In this paper, we report a new model in analysis of spherical thin-shell piezoelectric transducers for transient response, based on Fourier transform and the principle of linear superposition. We show that a circuit-network, a combination of a series of parallel-connected equivalent-circuits, can be used in description of a spherical thin-shell piezoelectric transducer. When excited by a signal with multiple frequency components, each circuit would have a distinctive radiation resistance and a radiation mass, arising from an individual frequency component. Each frequency component would act independently on the electric/mechanic-terminals. A cumulative signal-output from the mechanic/electric-terminals is measured as the overall 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.

Network Modeling of Piezoelectric Transducers for Energy Conversion

“…Following the network in Figure 1, the electric to acoustic conversion is processed in part I and the acoustic to electric conversion is achieved in part III. The converted waves from the network model are comparable to experimental measurements by Fa, et al [23][24][25][26][27]. Figure 3 presents the sample results of waveform and amplitude spectra at the receiving electricterminals, comparing the measured signals to the network model.…”

Physical Characteristics of and Transient Response from Thin Cylindrical Piezoelectric Transducers Used in a Petroleum Logging Tool

“…Then, it is acted on by a counterforce caused by the acoustic field. On the outer surface, by using a similar method described in References [34,35], we can obtain this counter-force as follows:…”

“…The complex effect of radiation resistance and radiation mass on the radiated acoustic-signal wavelet was reported by Fa and co-workers, where the deriving-voltage signal contained multi-frequency components. These researchers reported the case of thin spherical-shell transducers polarized in the radial direction, which radiated acoustic waves omnidirectionally [34][35][36][37]. Even though these reports are meaningful for modeling, the adopted transducers in the acoustic-logging tools and many other practical applications are mostly cylindrical, with radiation directivities quite different from that of the thin spherical-shell transducers.…”

“…In this paper, we report a study of thin cylindrical transducers widely used in petroleum acoustic-logging tools. By adopting the method describing a thin spherical-shell transducer's transient response [34] for the excited driving-voltage signal wavelet with multi-frequency components, we established the parallel-connected equivalent circuits for the thin cylindrical-shell transducers polarized in the radial direction. By solving the corresponding equations of motion, we analyzed the physical properties related to the transient response.…”

Goos-Hänchen Effect: An Intriguing Phenomenon from Optics to Acoustics

“…It is noted that when an optical wave is propagating from a denser medium to a thinner medium, the total reflection generates coherent interference; the final propagated wave yields a lateral displacement relative to the incidence position at the interface. This optical effect is critically important in practical applications of optical interfacial-transition, e.g., slow-light processes [5], interfaced-induced superconductivity [6][7][8][9][10][11][12], material nucleation [13], nanophotonics and optic-electromagnetic applications [14][15][16][17][18], as well as many practical applications involving media interfaces in acoustics [19][20][21][22][23][24][25][26][27][28].…”