Radial vibration characteristics of spherical piezoelectric transducers

Kim, Jin O.; Lee, Jung Gu; Han, Chun

doi:10.1016/j.ultras.2005.01.004

Cited by 33 publications

(18 citation statements)

References 6 publications

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“…͑1͒ are spherical Bessel functions of zeroth order, for consistency with the development for the piezoelectric and elastic layers, the solutions are expressed in terms of the cylindrical Bessel functions by applying a variable transformation. 8 Let…”

Section: Consider a Spherical Piezoelectric Transducer Shown Inmentioning

confidence: 99%

“…This set of equations was solved using the matrix Frobenius power series method. Kim et al 8 studied the free vibration of piezoelectric spheres after assuming the piezoelectric sphere to be isotropic in order to simplify the analytical development. The numerical results thus obtained were compared with those obtained using finite element method and experiments.…”

Section: Introductionmentioning

confidence: 99%

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Receiving sensitivity and transmitting voltage response of a fluid loaded spherical piezoelectric transducer with an elastic coating

George

Ebenezer

Bhattacharyya

2010

The Journal of the Acoustical Society of America

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A method is presented to determine the response of a spherical acoustic transducer that consists of a fluid-filled piezoelectric sphere with an elastic coating embedded in infinite fluid to electrical and plane-wave acoustic excitations. The exact spherically symmetric, linear, differential, governing equations are used for the interior and exterior fluids, and elastic and piezoelectric materials. Under acoustic excitation and open circuit boundary condition, the equation governing the piezoelectric sphere is homogeneous and the solution is expressed in terms of Bessel functions. Under electrical excitation, the equation governing the piezoelectric sphere is inhomogeneous and the complementary solution is expressed in terms of Bessel functions and the particular integral is expressed in terms of a power series. Numerical results are presented to illustrate the effect of dimensions of the piezoelectric sphere, fluid loading, elastic coating and internal material losses on the open-circuit receiving sensitivity and transmitting voltage response of the transducer.

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Section: Consider a Spherical Piezoelectric Transducer Shown Inmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Receiving sensitivity and transmitting voltage response of a fluid loaded spherical piezoelectric transducer with an elastic coating

George

Ebenezer

Bhattacharyya

2010

The Journal of the Acoustical Society of America

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show abstract

“…Previous techniques to enlarge the beam pattern of probes are: cylindrical PVDF film transducers [10], twisted acoustic lenses [11] and spherical piezoelectric transducers [12]. PVDF film transducers [10] are cylindrical therefore their pressure field is constant for orientations 0 • to 180 • along a plane normal to the height of the cylinder.…”

Section: Introductionmentioning

confidence: 99%

“…Twisted lenses [11] provide an enlarged beam pattern, though the difference between the maximum and the minimum values of the beam pattern is 20dB to 30dB. Finally, although radial modes of spherical piezoelectric transducers [12] are detailed, the directional properties of these probes are not.…”

Section: Introductionmentioning

confidence: 99%

Airborne broad-beam emitter from a capacitive transducer and a cylindrical structure

Guarato

Lima

Windmill

et al. 2016

2016 IEEE International Ultrasonics Symposium (IUS)

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Beamwidth broadening of an ultrasonic air-coupled transducer is performed by an emitter constituted of an electrostatic transducer and of a cylinder with an opening at the top covering the surface of the transducer. The acoustic emission is thus forced through a hole smaller than the diameter of the transducer’s surface. In particular, a cylinder with an upper diameter of 10mm and a height of 5mm ensures the beam pattern of the final emitter is broad across a wide frequency range. Sound attenuation is reduced and lobes in the transducer’s beam pattern are cancelled. Beam broadening can improve range estimation techniques and ultrasonic sonar as a wider area can be inspected with one emission with no need for scanning

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“…In some cases the shape is cylindrical or spherical. Piezoelectric cylindrical or spherical transducers with radial polarization have resonance characteristics determined by their thickness and curvature (13,14) . Torsional transducers made of piezoelectric disks polarized in the circumferential direction have resonance characteristics determined by thickness (15) .…”

Section: Introductionmentioning

confidence: 99%

Measurements of Radial In-plane Vibration Characteristics of Piezoelectric Disk Transducers

Kim¹,

Oh²,

Kim³

2015

Transactions of the Korean Society for Noise and Vibration Engi

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The paper experimentally deals with the radial in-plane vibration characteristics of disk-shaped piezoelectric transducers. The radial in-plane motion, which is induced due to Poisson's ratio in the piezoelectric disk polarized in the thickness direction, was measured by using an in-plane laser vibrometer, and the natural frequencies were measured by using an impedance analyzer. The experimental results have been compared with theoretical predictions obtained by simplified theoretical and finite-element analyses. It appears that the fundamental mode of a piezoelectric disk transducer is a radial mode and its radial displacement distribution from the center to the perimeter is not monotonic but shows maximum slightly apart from the perimeter. The theoretically-calculated fundamental frequencies agree well with the finite-element results for small thickness-to-diameter ratio, and they are accurate within 7 % error for the ratio up to 0.4.

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Radial vibration characteristics of spherical piezoelectric transducers

Cited by 33 publications

References 6 publications

Receiving sensitivity and transmitting voltage response of a fluid loaded spherical piezoelectric transducer with an elastic coating

Receiving sensitivity and transmitting voltage response of a fluid loaded spherical piezoelectric transducer with an elastic coating

Airborne broad-beam emitter from a capacitive transducer and a cylindrical structure

Measurements of Radial In-plane Vibration Characteristics of Piezoelectric Disk Transducers

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