Identyfikatory
Warianty tytułu
Języki publikacji
Abstrakty
The piezoelectric unimorphs are essential resonant components of many oscillating systems including electroacoustic devices. The unimorph spectral properties are namely dependent on geometric dimensions, applied materials and mounting. Preliminary dimensioning and optimization of unimorph shape are usually carried out prior to comprehensive design work mostly based on finite element method. Simple analytical model is a suitable tool for initial design phase. This paper presents a derivation of calculation model describing natural vibrations of a circular unimorph with the piezoelectric layer diameter smaller than the elastic layer diameter. The system of equations with closed-form solution is instrumental to calculation of resonant frequencies and mode shapes for unimorphs with clamped, simply supported and free circumference. The theoretical results are compared with vibration velocity measurement of clamped unimorph sample in a wide frequency range. Analytical model derived in this paper is used to assess the effect of the thickness tolerance on unimorph resonant frequencies.
Słowa kluczowe
Wydawca
Czasopismo
Rocznik
Tom
Strony
743--751
Opis fizyczny
Bibliogr. 15 poz., rys., tab., wykr.
Twórcy
autor
- VÚTS, a.s., Svárovská 619, 460 01 Liberec XI, Czech Republic
autor
- Institute of Thermomechanics AS CR, v.v.i., Dolejškova 5, 182 00 Praha 8, Czech Republic
Bibliografia
- 1. Adelman N. T., Stavsky Y. (1980), Flexuralextensional behavior of composite piezoelectric circular plates, The Journal of the Acoustical Society of America, 67, 3, 819-822.
- 2. Deshpande M., Saggere L. (2007), An analytical model and working equations for static deflections of a circular multi-layered diaphragm-type piezoelectric actuator, Sensors and Actuators A: Physical, 136, 2, 673-689.
- 3. Dobrucki A. B., Pruchnicki P. (1997), Theory of piezoelectric axisymmetric bimorph, Sensors and Actuators A: Physical, 58, 3, 203-212.
- 4. Dong S., Uchino K., Li L., Viehland D. (2007), Analytical solutions for the transverse deflection of a piezoelectric circular axisymmetric unimorph actuator, IEEE Transactions on Ultrasonics, Ferroelectrics, and Frequency Control, 54, 6, 1240-1249.
- 5. Gazis D. C., Mindlin R. D. (1960), Extensional vibrations and waves in a circular disk and a semi-infinite plate, Journal of Applied Mechanics, 27, 3, 541-547.
- 6. Leissa A. W. (1969), Vibration of plates, NASA, SP-160, Washington D.C.
- 7. Li S., Chen S. (2003), Analytical analysis of a circular PZT actuator for valveless micropumps, Sensors and Actuators A: Physical, 104, 2, 151-161.
- 8. Li X., Shih W. Y., Aksay I. A., Shih W. H. (1999), Electromechanical behavior of PZT-brass unimorphs, Journal of the American Ceramic Society, 82, 7, 1733-1740.
- 9. Liu C., Cui T., Zhou Z. (2003), Modal analysis of a unimorph piezoelectrical transducer, Microsystem Technologies, 9, 6-7, 474-479.
- 10. Mo C., Wright R., Slaughter W. S., Clark W. W. (2006), Behaviour of a unimorph circular piezoelectric actuator, Smart Materials and Structures, 15, 4, 1094-1102.
- 11. Mo C., Radziemski L. J., Clark W. W. (2010), Analysis of piezoelectric circular diaphragm energy harvesters for use in a pressure fluctuating system, Smart Materials and Structures, 19, 2, 025016.
- 12. Papila M., Sheplak M., Cattafesta L. N. (2008), Optimization of clamped circular piezoelectric composite actuators, Sensors and Actuators A: Physical, 147, 1, 310-323.
- 13. Prasad S. A. N., Gallas Q., Horowitz S., Homeijer B., Sankar B. V., Cattafesta L. N., Sheplak M. (2006), Analytical electroacoustic model of a piezoelectric composite circular plate, AIAA Journal, 44, 10, 2311-2318.
- 14. Wang Q., Quek S. T., Sun C. T., Liu X. (2001), Analysis of piezoelectric coupled circular plate, Smart Materials and Structures, 10, 2, 229-239.
- 15. Yang J., Zhou H., Dong S. (2006), Analysis of plate piezoelectric unimorphs, IEEE Transactions on Ultrasonics, Ferroelectrics, and Frequency Control, 53, 2, 456-462.
Uwagi
Opracowanie rekordu w ramach umowy 509/P-DUN/2018 ze środków MNiSW przeznaczonych na działalność upowszechniającą naukę (2018).
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-a7404382-17f1-4209-9321-6fc20483f54d