Analysis of longitudinal and torsional resonance vibrations of a piezoelectrically excited bar by introducing piezoelectric loss coefficients

Yang Bai, Safakcan Tuncdemir, Jifeng Guo, Kenji Uchino

Research output: Contribution to journalArticle

8 Citations (Scopus)

Abstract

In this study, a method to develop a resonance vibration model of a piezo-bar with slanted ceramics is presented by considering piezoelectric loss coefficients. The vibration model reported here predicts natural frequencies and mode shapes for longitudinal and torsional modes. Analytical results for the longitudinal and torsional vibration displacements were formulated as a function of material and geometric properties. Parametrical analysis of the resonance vibration modes and the explicit solution of the vibration displacement provide a tool for improving the design and developing control schemes for devices such as ultrasonic motors that utilize this structure. Model calculations were compared with ATILA™ finite element analysis simulations and good agreements were found. The model and the formulas to find the resonance frequencies and to calculate the vibration displacement were verified for different design parameters. Although the model was developed for a slanted ceramic stator of a multimode ultrasonic motor, the method to develop the model can be utilized for other single-degree-of-freedom piezoelectric ceramic applications.

Original languageEnglish (US)
Pages (from-to)453-462
Number of pages10
JournalJournal of Intelligent Material Systems and Structures
Volume23
Issue number4
DOIs
StatePublished - Mar 1 2012

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Vibrations (mechanical)
Ultrasonics
Piezoelectric ceramics
Stators
Natural frequencies
Finite element method

All Science Journal Classification (ASJC) codes

  • Materials Science(all)
  • Mechanical Engineering

Cite this

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abstract = "In this study, a method to develop a resonance vibration model of a piezo-bar with slanted ceramics is presented by considering piezoelectric loss coefficients. The vibration model reported here predicts natural frequencies and mode shapes for longitudinal and torsional modes. Analytical results for the longitudinal and torsional vibration displacements were formulated as a function of material and geometric properties. Parametrical analysis of the resonance vibration modes and the explicit solution of the vibration displacement provide a tool for improving the design and developing control schemes for devices such as ultrasonic motors that utilize this structure. Model calculations were compared with ATILA™ finite element analysis simulations and good agreements were found. The model and the formulas to find the resonance frequencies and to calculate the vibration displacement were verified for different design parameters. Although the model was developed for a slanted ceramic stator of a multimode ultrasonic motor, the method to develop the model can be utilized for other single-degree-of-freedom piezoelectric ceramic applications.",
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Analysis of longitudinal and torsional resonance vibrations of a piezoelectrically excited bar by introducing piezoelectric loss coefficients. / Bai, Yang; Tuncdemir, Safakcan; Guo, Jifeng; Uchino, Kenji.

In: Journal of Intelligent Material Systems and Structures, Vol. 23, No. 4, 01.03.2012, p. 453-462.

Research output: Contribution to journalArticle

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