Analysis and equivalent circuit for accurate wideband calculations of the impedance for a piezoelectric transducer having loss

Hagmann, M. J.

doi:10.1063/1.5118897

Title: Analysis and equivalent circuit for accurate wideband calculations of the impedance for a piezoelectric transducer having loss

Abstract

Others have analyzed the operation of piezoelectric transducers by defining two complex parameters which have the units of frequency to allow for the effects of loss. The present paper presents an analysis in which this procedure is extended to include harmonics as well as the fundamental frequency. In this extension it is seen that both positive and negative extrema in both the resistance and the conductance occur at a series of harmonics. Equivalent circuits are also presented with examples for both high-Q and low-Q materials showing agreement with these simulations.

Authors:

^[1]

NewPath Research LLC, Salt Lake City, UT (United States)

Publication Date:: Mon Aug 19 00:00:00 EDT 2019

Research Org.:: NewPath Research, LLC, Salt Lake City, UT (United States)

Sponsoring Org.:: USDOE Office of Science (SC)

OSTI Identifier:: 1610850

Alternate Identifier(s):: OSTI ID: 1557884

Grant/Contract Number:: SC0006339

Resource Type:: Accepted Manuscript

Journal Name:: AIP Advances

Additional Journal Information:: Journal Volume: 9; Journal Issue: 8; Journal ID: ISSN 2158-3226

Publisher:: American Institute of Physics (AIP)

Country of Publication:: United States

Language:: English

Subject:: 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; Science & Technology - Other Topics; Materials Science; Physics

Citation Formats


                    Hagmann, M. J. Analysis and equivalent circuit for accurate wideband calculations of the impedance for a piezoelectric transducer having loss.  United States: N. p., 2019. 
Web.  doi:10.1063/1.5118897.

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                    Hagmann, M. J. Analysis and equivalent circuit for accurate wideband calculations of the impedance for a piezoelectric transducer having loss.  United States.  https://doi.org/10.1063/1.5118897

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                    Hagmann, M. J. Mon .  
"Analysis and equivalent circuit for accurate wideband calculations of the impedance for a piezoelectric transducer having loss".  United States.  https://doi.org/10.1063/1.5118897.  https://www.osti.gov/servlets/purl/1610850.

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@article{osti_1610850,

  title        = {Analysis and equivalent circuit for accurate wideband calculations of the impedance for a piezoelectric transducer having loss},

  author       = {Hagmann, M. J.},

  abstractNote = {Others have analyzed the operation of piezoelectric transducers by defining two complex parameters which have the units of frequency to allow for the effects of loss. The present paper presents an analysis in which this procedure is extended to include harmonics as well as the fundamental frequency. In this extension it is seen that both positive and negative extrema in both the resistance and the conductance occur at a series of harmonics. Equivalent circuits are also presented with examples for both high-Q and low-Q materials showing agreement with these simulations.},

  doi          = {10.1063/1.5118897},

  journal      = {AIP Advances},

  number       = 8,

  volume       = 9,

  place        = {United States},

  year         = {Mon Aug 19 00:00:00 EDT 2019},

  month        = {Mon Aug 19 00:00:00 EDT 2019}

}

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https://doi.org/10.1063/1.5118897

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Cited by: 3 works

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Works referenced in this record:

Resonance in piezoelectric vibrators
journal, January 1970

Ballato, A.
Proceedings of the IEEE, Vol. 58, Issue 1
DOI: 10.1109/proc.1970.7560

The Piezo-Electric Resonator and Its Equivalent Network
journal, June 1928

Van Dyke, K. S.
Proceedings of the IRE, Vol. 16, Issue 6
DOI: 10.1109/jrproc.1928.221466

Modeling piezoelectric and piezomagnetic devices and structures via equivalent networks
journal, September 2001

Ballato, A.
IEEE Transactions on Ultrasonics, Ferroelectrics, and Frequency Control, Vol. 48, Issue 5
DOI: 10.1109/58.949732

An accurate equivalent circuit for the unloaded piezoelectric vibrator in the thickness mode
journal, August 1997

Sherrit, S.; Wiederick, H. D.; Mukherjee, B. K.
Journal of Physics D: Applied Physics, Vol. 30, Issue 16
DOI: 10.1088/0022-3727/30/16/014

On the Equivalent Circuit Models of Piezoelectric Ceramics
journal, August 2009

Guan, M. J.; Liao, W. H.
Ferroelectrics, Vol. 386, Issue 1
DOI: 10.1080/00150190902961439

Accurate evaluation of the real and imaginary material constants for a piezoelectric resonator in the radial mode
journal, July 1991

Sherrit, S.; Gauthier, N.; Wiederick, H. D.
Ferroelectrics, Vol. 119, Issue 1
DOI: 10.1080/00150199108223323

PdP135. Nun-iterative evaluation of the real and imaginary material constants of piezoelectric resonators
journal, September 1992

Sherrit, S.; Wiederick, H. D.; Mukherjee, B. K.
Ferroelectrics, Vol. 134, Issue 1
DOI: 10.1080/00150199208015574

Thickness mode piezoelectric transducers
journal, January 1972

Meeker, T. R.
Ultrasonics, Vol. 10, Issue 1
DOI: 10.1016/0041-624x(72)90210-7

On Electrically-maintained Vibrations
journal, December 1914

Butterworth, S.
Proceedings of the Physical Society of London, Vol. 27, Issue 1
DOI: 10.1088/1478-7814/27/1/330

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Similar Records

Title: Analysis and equivalent circuit for accurate wideband calculations of the impedance for a piezoelectric transducer having loss

Abstract

Citation Formats

Resonance in piezoelectric vibrators journal, January 1970

The Piezo-Electric Resonator and Its Equivalent Network journal, June 1928

Modeling piezoelectric and piezomagnetic devices and structures via equivalent networks journal, September 2001

An accurate equivalent circuit for the unloaded piezoelectric vibrator in the thickness mode journal, August 1997

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Accurate evaluation of the real and imaginary material constants for a piezoelectric resonator in the radial mode journal, July 1991

PdP135. Nun-iterative evaluation of the real and imaginary material constants of piezoelectric resonators journal, September 1992

Thickness mode piezoelectric transducers journal, January 1972

On Electrically-maintained Vibrations journal, December 1914

Resonance in piezoelectric vibrators
journal, January 1970

The Piezo-Electric Resonator and Its Equivalent Network
journal, June 1928

Modeling piezoelectric and piezomagnetic devices and structures via equivalent networks
journal, September 2001

An accurate equivalent circuit for the unloaded piezoelectric vibrator in the thickness mode
journal, August 1997

On the Equivalent Circuit Models of Piezoelectric Ceramics
journal, August 2009

Accurate evaluation of the real and imaginary material constants for a piezoelectric resonator in the radial mode
journal, July 1991

PdP135. Nun-iterative evaluation of the real and imaginary material constants of piezoelectric resonators
journal, September 1992

Thickness mode piezoelectric transducers
journal, January 1972

On Electrically-maintained Vibrations
journal, December 1914