### 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.

Original language | English |
---|---|

Pages (from-to) | 3274-3280 |

Number of pages | 7 |

Journal | Japanese Journal of Applied Physics, Part 1: Regular Papers and Short Notes and Review Papers |

Volume | 35 |

Issue number | 5 B |

Publication status | Published - 1996 |

Externally published | Yes |

### Fingerprint

### Keywords

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

### ASJC Scopus subject areas

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

### Cite this

*Japanese Journal of Applied Physics, Part 1: Regular Papers and Short Notes and Review Papers*,

*35*(5 B), 3274-3280.

**Derivation of a force factor equation for a langevin-type flexural mode transducer.** / Koike, Yoshikazu; Tamura, Takeshi; Ueha, Sadayuki.

Research output: Contribution to journal › Article

*Japanese Journal of Applied Physics, Part 1: Regular Papers and Short Notes and Review Papers*, vol. 35, no. 5 B, pp. 3274-3280.

}

TY - JOUR

T1 - Derivation of a force factor equation for a langevin-type flexural mode transducer

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

UR - http://www.scopus.com/inward/record.url?scp=0030149326&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0030149326&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:0030149326

VL - 35

SP - 3274

EP - 3280

JO - Japanese Journal of Applied Physics, Part 1: Regular Papers & Short Notes

JF - Japanese Journal of Applied Physics, Part 1: Regular Papers & Short Notes

SN - 0021-4922

IS - 5 B

ER -