Derivation of a force factor equation for a langevin-type flexural mode transducer

Yoshikazu Koike, Takeshi Tamura, Sadayuki Ueha

研究成果: Article

5 引用 (Scopus)

抄録

We propose a calculation method for the force factor of a Langevin-type flexural mode transducer. In this proposed method, after calculating the flexural vibration mode and the resonance frequency using the analytical solution given by Miklowitz for the Timoshenko beam theory, the force factor is calculated by substituting the obtained vibration distribution into the piezoelectric equation. In the calculation of vibration distribution, piezoelectric elements bound by metal blocks are considered using the matrix expression of the Miklowitz solutions. Differences between calculation results and measurements are within 35% for several bonded transducers. Therefore, this calculation method is useful for the design of Langevin-type flexural mode transducers.

元の言語English
ページ(範囲)3274-3280
ページ数7
ジャーナルJapanese Journal of Applied Physics, Part 1: Regular Papers and Short Notes and Review Papers
35
発行部数5 B
出版物ステータスPublished - 1996
外部発表Yes

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Transducers
transducers
derivation
Timoshenko beams
vibration
vibration mode
Chemical elements
Vibrations (mechanical)
matrices
metals
Metals

ASJC Scopus subject areas

  • Physics and Astronomy (miscellaneous)
  • Engineering(all)

これを引用

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abstract = "We propose a calculation method for the force factor of a Langevin-type flexural mode transducer. In this proposed method, after calculating the flexural vibration mode and the resonance frequency using the analytical solution given by Miklowitz for the Timoshenko beam theory, the force factor is calculated by substituting the obtained vibration distribution into the piezoelectric equation. In the calculation of vibration distribution, piezoelectric elements bound by metal blocks are considered using the matrix expression of the Miklowitz solutions. Differences between calculation results and measurements are within 35{\%} for several bonded transducers. Therefore, this calculation method is useful for the design of Langevin-type flexural mode transducers.",
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AU - Koike, Yoshikazu

AU - Tamura, Takeshi

AU - Ueha, Sadayuki

PY - 1996

Y1 - 1996

N2 - We propose a calculation method for the force factor of a Langevin-type flexural mode transducer. In this proposed method, after calculating the flexural vibration mode and the resonance frequency using the analytical solution given by Miklowitz for the Timoshenko beam theory, the force factor is calculated by substituting the obtained vibration distribution into the piezoelectric equation. In the calculation of vibration distribution, piezoelectric elements bound by metal blocks are considered using the matrix expression of the Miklowitz solutions. Differences between calculation results and measurements are within 35% for several bonded transducers. Therefore, this calculation method is useful for the design of Langevin-type flexural mode transducers.

AB - We propose a calculation method for the force factor of a Langevin-type flexural mode transducer. In this proposed method, after calculating the flexural vibration mode and the resonance frequency using the analytical solution given by Miklowitz for the Timoshenko beam theory, the force factor is calculated by substituting the obtained vibration distribution into the piezoelectric equation. In the calculation of vibration distribution, piezoelectric elements bound by metal blocks are considered using the matrix expression of the Miklowitz solutions. Differences between calculation results and measurements are within 35% for several bonded transducers. Therefore, this calculation method is useful for the design of Langevin-type flexural mode transducers.

KW - Flexural mode

KW - Force factor

KW - Langevin-type transducer

KW - Piezoelectric equation

KW - Timoshenko beam theory

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