Experiment and simulation validated analytical equivalent circuit model for piezoelectric micromachined ultrasonic transducers

An analytical Mason equivalent circuit is derived for a circular, clamped plate piezoelectric micromachined ultrasonic transducer (pMUT) design in 31 mode, considering an arbitrary electrode configuration at any axisymmetric vibration mode. The explicit definition of lumped parameters based entirely...

Full description

Bibliographic Details
Main Authors: Kim, Sang-Gook, Smyth, Katherine M.
Other Authors: Massachusetts Institute of Technology. Department of Mechanical Engineering
Format: Article
Language:en_US
Published: Institute of Electrical and Electronics Engineers (IEEE) 2015
Online Access:http://hdl.handle.net/1721.1/98507
https://orcid.org/0000-0002-3125-3268
https://orcid.org/0000-0001-5212-6762
_version_ 1811076759158784000
author Kim, Sang-Gook
Smyth, Katherine M.
author2 Massachusetts Institute of Technology. Department of Mechanical Engineering
author_facet Massachusetts Institute of Technology. Department of Mechanical Engineering
Kim, Sang-Gook
Smyth, Katherine M.
author_sort Kim, Sang-Gook
collection MIT
description An analytical Mason equivalent circuit is derived for a circular, clamped plate piezoelectric micromachined ultrasonic transducer (pMUT) design in 31 mode, considering an arbitrary electrode configuration at any axisymmetric vibration mode. The explicit definition of lumped parameters based entirely on geometry, material properties, and defined constants enables straightforward and wide-ranging model implementation for future pMUT design and optimization. Beyond pMUTs, the acoustic impedance model is developed for universal application to any clamped, circular plate system, and operating regimes including relevant simplifications are identified via the wave number-radius product ka. For the single-electrode fundamental vibration mode case, sol-gel Pb(Zr[subscript 0.52])Ti[subscript 0.48]O[subscript 3] (PZT) pMUT cells are microfabricated with varying electrode size to confirm the derived circuit model with electrical impedance measurements. For the first time, experimental and finite element simulation results are successfully applied to validate extensive electrical, mechanical, and acoustic analytical modeling of a pMUT cell for wide-ranging applications including medical ultrasound, nondestructive testing, and range finding.
first_indexed 2024-09-23T10:27:01Z
format Article
id mit-1721.1/98507
institution Massachusetts Institute of Technology
language en_US
last_indexed 2024-09-23T10:27:01Z
publishDate 2015
publisher Institute of Electrical and Electronics Engineers (IEEE)
record_format dspace
spelling mit-1721.1/985072022-09-26T17:58:25Z Experiment and simulation validated analytical equivalent circuit model for piezoelectric micromachined ultrasonic transducers Kim, Sang-Gook Smyth, Katherine M. Massachusetts Institute of Technology. Department of Mechanical Engineering Kim, Sang-Gook Smyth, Katherine M. Kim, Sang-Gook An analytical Mason equivalent circuit is derived for a circular, clamped plate piezoelectric micromachined ultrasonic transducer (pMUT) design in 31 mode, considering an arbitrary electrode configuration at any axisymmetric vibration mode. The explicit definition of lumped parameters based entirely on geometry, material properties, and defined constants enables straightforward and wide-ranging model implementation for future pMUT design and optimization. Beyond pMUTs, the acoustic impedance model is developed for universal application to any clamped, circular plate system, and operating regimes including relevant simplifications are identified via the wave number-radius product ka. For the single-electrode fundamental vibration mode case, sol-gel Pb(Zr[subscript 0.52])Ti[subscript 0.48]O[subscript 3] (PZT) pMUT cells are microfabricated with varying electrode size to confirm the derived circuit model with electrical impedance measurements. For the first time, experimental and finite element simulation results are successfully applied to validate extensive electrical, mechanical, and acoustic analytical modeling of a pMUT cell for wide-ranging applications including medical ultrasound, nondestructive testing, and range finding. Masdar Institute of Science and Technology (Massachusetts Institute of Technology Cooperative Agreement Grant 6923443) National Science Foundation (U.S.). Graduate Research Fellowship 2015-09-15T16:39:45Z 2015-09-15T16:39:45Z 2015-04 2014-09 Article http://purl.org/eprint/type/JournalArticle 0885-3010 http://hdl.handle.net/1721.1/98507 Smyth, Katherine, and Sang-Gook Kim. “Experiment and Simulation Validated Analytical Equivalent Circuit Model for Piezoelectric Micromachined Ultrasonic Transducers.” IEEE Trans. Ultrason., Ferroelect., Freq. Contr. 62, no. 4 (April 2015): 744–765. https://orcid.org/0000-0002-3125-3268 https://orcid.org/0000-0001-5212-6762 en_US http://dx.doi.org/10.1109/TUFFC.2014.006725 IEEE Transactions on Ultrasonics, Ferroelectrics, and Frequency Control Creative Commons Attribution-Noncommercial-Share Alike http://creativecommons.org/licenses/by-nc-sa/4.0/ application/pdf Institute of Electrical and Electronics Engineers (IEEE) Kim
spellingShingle Kim, Sang-Gook
Smyth, Katherine M.
Experiment and simulation validated analytical equivalent circuit model for piezoelectric micromachined ultrasonic transducers
title Experiment and simulation validated analytical equivalent circuit model for piezoelectric micromachined ultrasonic transducers
title_full Experiment and simulation validated analytical equivalent circuit model for piezoelectric micromachined ultrasonic transducers
title_fullStr Experiment and simulation validated analytical equivalent circuit model for piezoelectric micromachined ultrasonic transducers
title_full_unstemmed Experiment and simulation validated analytical equivalent circuit model for piezoelectric micromachined ultrasonic transducers
title_short Experiment and simulation validated analytical equivalent circuit model for piezoelectric micromachined ultrasonic transducers
title_sort experiment and simulation validated analytical equivalent circuit model for piezoelectric micromachined ultrasonic transducers
url http://hdl.handle.net/1721.1/98507
https://orcid.org/0000-0002-3125-3268
https://orcid.org/0000-0001-5212-6762
work_keys_str_mv AT kimsanggook experimentandsimulationvalidatedanalyticalequivalentcircuitmodelforpiezoelectricmicromachinedultrasonictransducers
AT smythkatherinem experimentandsimulationvalidatedanalyticalequivalentcircuitmodelforpiezoelectricmicromachinedultrasonictransducers