The constituent equations of piezoelectric cantilevered three-layer actuators with various external loads and geometry

• Autorzy: Mieczkowski G.

Identyfikatory

DOI

10.15632/jtam-pl.55.1.69

• Języki publikacji: EN

Abstrakty

EN

This paper presents test results for deformation conditions of three-layer, piezoelectric cantilever converters subjected to various electrical and mechanical boundary conditions. A general solution has been developed based on implementation of piezoelectric triple segments (PTS) to the beam. A working mechanism and conditions for strain of the PTS segment have been determined. Basing on the general solution, for the cantilever actuator subjected to an external force (of single and dual PTS segments) and a uniform load (of single PTS segment), particular solutions have also been developed. Moreover, dimensionless frequencies of the oscillating motion for the analyzed converters have been determined. In the next step, the influence of such factors as length, quantity and position of PTS segments, their relative stiffness and unit weight on values of the obtained frequencies of vibration have been defined. The resulting analytical solutions have been compared with the developed FEM solution.

Słowa kluczowe

EN

piezoelectric bender; constitutive equations; deflection; analytical solutions

• Wydawca: Polskie Towarzystwo Mechaniki Teoretycznej i Stosowanej
• Czasopismo: Journal of Theoretical and Applied Mechanics
• Rocznik: 2017
• Tom: Vol. 55 nr 1
• Strony: 69--86
• Opis fizyczny: Bibliogr. 30 poz., rys., tab.

Twórcy

autor

Mieczkowski G.

• Bialystok University of Technology, Białystok, Poland

Bibliografia

• 1. Askari Farsangi M.A., Saidi A.R., Batra R.C., 2013, Analytical solution for free vibrations of moderately thick hybrid piezoelectric laminated plates, Journal of Sound and Vibration, 332, 5981-5998
• 2. Berlincourt D.A., Curran D.R., Jaffe H., Mason W.P., 1964, Physical Acoustics, Principles and Methods, Academic Press, New York
• 3. Bleustein J.L., Tiersten H.F., 1968, Forced thickness-shear vibrations of discontinuously plated piezoelectric plates, Journal of the Acoustical Society of America, 43, 6, 1311
• 4. Buchacz A., Płaczek M., 2009, Damping of mechanical vibrations using piezoelements, including influence of connection layer’s properties, on the dynamic characteristic, Solid State Phenomena, 147/149, 869-875
• 5. Busch-Vishniac I.J., 1999, Electromechanical Sensors and Actuators, Springer-Verlag
• 6. Chen W.Q., Xu R.Q., Ding H.J., 1998, On free vibration of a piezoelectric composite rectangular plate, Journal of Sound and Vibration, 218, 4, 741-748
• 7. Clarc R.L., Fuller Ch.R.,Wicks A., 1991, Characterization of multiple piezoelectric actuators for structural excitation, Journal of Acoustical Society of America, 90, 346-357
• 8. Curie P.J., Curie J., 1880, Crystal physics-development by pressure 0/ polar electricity in hemihedral crystals with inclined faces (in French), Comptes rendus hebdomadaires des sances de l’Acadmie des sciences, 294, pp. 91
• 9. Djojodihardjo H., Jafari M., Wiriadidjaja S., Ahmad K.A., 2015, Active vibration suppression of an elastic piezoelectric sensor and actuator fitted cantilevered beam configurations as a generic smart composite structure, Composite Structures, 132, 848-863
• 10. Documentation for ANSYS, 2010, Coupled-Field Analysis Guide
• 11. Fertis D.G., 1996, Advanced Mechanics of Structures, Marcel Dekker, New York
• 12. Kawai H., 1969, The piezoelectricity of poly (vinylidene fluoride), Japanese Journal of Applied Physics, 8, 975
• 13. Liu X., Wang X., Zhao H., Du Y., 2014, Myocardial cell pattern on piezoelectric nanofiber mats for energy harvesting, Journal of Physics: Conference Series, 557, 012057
• 14. Mahmoud A.A., Nassar M.A., Free vibration of a stepped beam with two uniform and/or tapered parts, Mechanics and Mechanical Engineering, 4, 2, 165-181
• 15. Mieczkowski G., 2016, Electromechanical characteristics of piezoelectric converters with freely defined boundary conditions and geometry, Mechanika, 22, 4, 265-272
• 16. Mieszczak Z., Krawczuk M., Ostachowicz W., 2006, Interaction of point defects in piezoelectric materials – numerical simulation in the context of electric fatigue, Journal of Theoretical and Applied Mechanics, 44, 4, 650-665
• 17. Park J.K., Moon W.K., 2005, Constitutive relations for piezoelectric benders under various boundary conditions, Sensors and Actuators A, 117, 159-167
• 18. Pietrzakowski M., 2000,Multiple piezoceramic segments in structural vibration control, Journal of Theoretical and Applied Mechanics, 38, 378-393
• 19. Pietrzakowski M., 2001, Active damping of beams by piezoelectric system: effects of bonding layer properties, International Journal of Solids and Structures, 38, 7885-7897
• 20. Przybyłowicz P.M., 1999, Application of piezoelectric elements to semi-adaptive dynamic eleminator of torsional vibration, Journal of Theoretical and Applied Mechanics, 37, 2, 319-334
• 21. Raeisifard H., Bahrami M.N., Yousefi-Koma A., Fard H.R., 2014, Static characterization and pull-in voltage of a micro-switch under both electrostatic and piezoelectric excitations, European Journal of Mechanics A/Solids, 44, 116-124
• 22. Rahmoune M., Osmont D., 2010, Classic finite elements for simulation of piezoelectric smart structures, Mechanika, 86, 6, 50-57
• 23. Rajabi A.H., Jaffe M., Arinzeh T.J., 2015, Piezoelectric materials for tissue regeneration: A review, Review Article, Acta Biomaterialia, 24, 15, 12-23
• 24. Rouzegar J., Abad F., 2015, Free vibration analysis of FG plate with piezoelectric layers using four-variable refined plate theory, Thin-Walled Structures, 89, 76-83
• 25. Smits J.G., Dalke S.I., Cooney T.K., 1991, The constituent equations of piezoelectric bimorphs, Sensors and Actuators A, 28, 41-61
• 26. S¸tef˘anescu D.M. 2011, Piezoelectric Force Transducers (PZFTs), [In:] Handbook of Force Transducers, 109-130
• 27. Tylikowski A., 1993, Stabilization of beam parametric vibrations, Jurnal of Theoretical and Applied Mechanics, 31, 3, 657-670
• 28. Tzou H.S., 1999, Piezoelectric Shells: Distributed Sensing and Control of Continua, Kluwer Academic Publishers, Dordrecht
• 29. Wang Q., Cross L.E., 1999, Constitutive equations of symmetrical triple-layer piezoelectric benders, IEEE Transactions on Ultrasonics, Ferroelectronics, and Frequency Control, 46, 1343-1351
• 30. Xiang H.J., Shi Z.F., 2008, Static analysis for multi-layered piezoelectric cantilevers, International Journal of Solids and Structures, 45, 1, 113-128

Uwagi

PL

Opracowanie ze środków MNiSW w ramach umowy 812/P-DUN/2016 na działalność upowszechniającą naukę (zadania 2017)