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

Yoshikazu Koike, Takeshi Tamura, Sadayuki Ueha

Research output: Contribution to journalArticlepeer-review

7 Citations (Scopus)


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.

Original languageEnglish
Pages (from-to)3274-3280
Number of pages7
JournalJapanese Journal of Applied Physics, Part 1: Regular Papers and Short Notes and Review Papers
Issue number5 B
Publication statusPublished - 1996
Externally publishedYes


  • Flexural mode
  • Force factor
  • Langevin-type transducer
  • Piezoelectric equation
  • Timoshenko beam theory

ASJC Scopus subject areas

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


Dive into the research topics of 'Derivation of a force factor equation for a langevin-type flexural mode transducer'. Together they form a unique fingerprint.

Cite this