Structural Engineering and Mechanics

  • 제38권6호
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  • Pages.753-765
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  • 2011
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  • 1225-4568(pISSN)
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  • 1598-6217(eISSN)
테크노프레스 (Techno-Press)
권호 표지
DOI QR코드

DOI QR Code

Radial vibration behaviors of cylindrical composite piezoelectric transducers integrated with functionally graded elastic layer

  • Wang, H.M. (Department of Mechanics, Zhejiang University) ;
  • Wei, Y.K. (Department of Mechanics, Zhejiang University) ;
  • Xu, Z.X. (Department of Mechanics, Zhejiang University)
  • 투고 : 2010.05.24
  • 심사 : 2011.02.22
  • 발행 : 2011.06.25
⟨ 이전 논문 다음 논문 ⟩

초록

The radial vibration behaviors of a circular cylindrical composite piezoelectric transducer (CPT) are investigated. The CPT is composed of a piezoelectric ring polarized in the radial direction and an elastic ring graded in power-law variation form along the radial direction. The governing equations for plane stress state problem under the harmonic excitation are derived and the exact solutions for both piezoelectric and functionally graded elastic rings are obtained. The characteristic equations for resonant and anti-resonant frequencies are established. The presented methodology is fit to carry out the parametric investigation for composite piezoelectric transducers (CPTs) with arbitrary thickness in radial direction. With the aid of numerical analysis, the relationship between the radial vibration behaviors of the cylindrical CPT and the material inhomogeneity index of the functionally graded elastic ring as well as the geometric parameters of the CPTs are illustrated and some important features are reported.

키워드

참고문헌

  1. Abd-alla, A.M., Farhan, A.M. (2008), "Effect of the non-homogenity on the composite infinite cylinder of orthotropic material", Phys. Lett. A, 372, 756-760. https://doi.org/10.1016/j.physleta.2007.08.029
  2. Adelman, N.T., Stavsky, Y. and Segal, E. (1975), "Axisymmetric vibrations of radially polarized piezoelectric ceramic cylinders", J. Sound Vib., 38, 245-254. https://doi.org/10.1016/S0022-460X(75)80008-3
  3. Alibeigloo, A. (2009), "Static analysis of a functionally graded cylindrical shell with piezoelectric layers as sensors and actuators", Smart Mater. Struct., 18, 065004. https://doi.org/10.1088/0964-1726/18/6/065004
  4. Bugdayci, N., Bogy, D.B. and Talke, F.E. (1983), "Axisymmetric motion of radially polarized piezoelectric cylinders used in ink jet printing", IBM J. Res. Develop., 27, 171-180. https://doi.org/10.1147/rd.272.0171
  5. Chen, W.Q., Bian, Z.G., Lv, C.F. and Ding, H.J. (2004), "3D free vibration analysis of a functionally graded piezoelectric hollow cylinder filled with compressible fluid", Int. J. Solids Struct., 41, 947-964. https://doi.org/10.1016/j.ijsolstr.2003.09.036
  6. Ding, H.J. and Chen, W.Q. (2001), Three Dimensional Problems of Piezoelasticity, Nova Science Publishers, New York.
  7. Ding, H.J., Wang, H.M. and Hou, P.F. (2003), "The transient responses of piezoelectric hollow cylinders for axisymmetric plane strain problems", Int. J. Solids Struct., 40, 105-123. https://doi.org/10.1016/S0020-7683(02)00525-5
  8. Dunn, M.L. and Taya, M. (1994), "Electroelastic field concentrations in and around inhomogeneities in piezoelectric solids", ASME J. Appl. Mech., 61, 474-475. https://doi.org/10.1115/1.2901471
  9. Elmaimouni, L., Lefebvre, J.E., Ratolojanahary, F.E., Raherison, Gryba T. and Carlier, J. (2011), "Modal analysis and harmonic response of resonators: An extension of a mapped orthogonal functions technique", Wave Motion, 48, 93-104 https://doi.org/10.1016/j.wavemoti.2010.09.001
  10. Erdelyi, A. (1953), Higher Transcendental Functions, McGraw-Hill Book Company, Inc., New York.
  11. Horgan, C.O. and Chan, A.M. (1999), "The pressurized hollow cylinder or disk problem for functionally graded isotropic linearly elastic materials", J. Elasticity, 55, 43-59. https://doi.org/10.1023/A:1007625401963
  12. Huang, J.H., Shiah, Y.C. and Lee, B.J. (2008), "Electromechanical responses of a long piezoelectric tube subjected to dynamic loading", J. Phys. D. Appl. Phys., 41, 025404. https://doi.org/10.1088/0022-3727/41/2/025404
  13. Irschik, H. (2002), "A review on static and dynamic shape control of structures by piezoelectric actuation", Eng. Struct., 24, 5-11. https://doi.org/10.1016/S0141-0296(01)00081-5
  14. Jabbari, M., Sohrabpour, S. and Eslami, M.R. (2002), "Mechanical and thermal stresses in a functionally graded hollow cylinder due to radially symmetric loads", Int. J. Press. Ves. Pip., 79, 493-497. https://doi.org/10.1016/S0308-0161(02)00043-1
  15. Jiang, S.N. and Hu, Y.T. (2007), "Analysis of a piezoelectric bimorph plate with a central-attached mass as an energy harvester", IEEE T. Ultrason. Ferr., 54, 1463-1469. https://doi.org/10.1109/TUFFC.2007.407
  16. Khoshgoftar, M.J., Arani, A.G. and Arefi, M. (2009), "Thermoelastic analysis of a thick walled cylinder made of functionally graded piezoelectric material", Smart Mater. Struct., 18, 115007. https://doi.org/10.1088/0964-1726/18/11/115007
  17. Kim, J.O. and Lee, J.G. (2007), "Dynamic characteristics of piezoelectric cylindrical transducers with radial polarization", J. Sound Vib., 300, 241-249. https://doi.org/10.1016/j.jsv.2006.08.021
  18. Leinvuo, J.T., Wilson, S.A., Whatmore, R.W. and Cain, M.G. (2007), "A new flextensional piezoelectric ultrasonic motor—Design, fabrication and characterization", Sensor Actuat. A-Phys., 133, 141-151. https://doi.org/10.1016/j.sna.2006.04.010
  19. Liu, S.Q. and Lin, S.Y. (2009), "The analysis of the electro-mechanical model of the cylindrical radial composite piezoelectric ceramic transducer", Sensor Actuat. A-Phys., 155, 175-180. https://doi.org/10.1016/j.sna.2009.08.019
  20. Lü, C.F., Yang, J.S., Wang, J. and Chen, W.Q. (2009), "Power transmission through a hollow cylinder by acoustic waves and piezoelectric transducers with radial polarization", J. Sound Vib., 325, 989-999. https://doi.org/10.1016/j.jsv.2009.04.002
  21. Mo, C., Radziemski, L.J. and Clark, W.W. (2010), "Analysis of piezoelectric circular diaphragm energy harvesters for use in a pressure fluctuating system", Smart Mater. Struct., 19, 025016. https://doi.org/10.1088/0964-1726/19/2/025016
  22. Nye, J.F. (1985), Physical Properties of Crystals, Oxford University Press, Oxford.
  23. Ramesh, R. and Ebenezer, D.D. (2005), "Analysis of axially polarized piezoelectric ceramic rings", Ferroelectrics, 323, 17-23. https://doi.org/10.1080/00150190500308454
  24. Rao, M.S. and Narayanan, S. (2007), "Active control of wave propagation in multi-span beams using distributed piezoelectric actuators and sensors", Smart Mater. Struct., 16, 2577-2594. https://doi.org/10.1088/0964-1726/16/6/062
  25. Shin, D.Y., Grassia, P. and Derby, B. (2003), "Oscillatory limited compressible fluid flow induced by the radial motion of a thick-walled piezoelectric tube", J. Acoust. Soc. Am., 114, 1314-1321. https://doi.org/10.1121/1.1603769
  26. Wang, H.M., Liu, C.B. and Ding, H.J. (2009), "Exact solution for forced torsional vibration of finite piezoelectric hollow cylinder", Struct. Eng. Mech., 31, 663-678. https://doi.org/10.12989/sem.2009.31.6.663
  27. Yang, J.S. (2006), Analysis of Piezoelectric Devices, World Scientific, Singapore.
  28. Yang, J.S. (2007), "Piezoelectric transformer structural modeling-a review", IEEE T. Ultrason. Ferr., 54, 1154- 1170. https://doi.org/10.1109/TUFFC.2007.369
  29. Yu, J.G. and Ma, Q.J. (2008), "Circumferential wave in functionally graded piezoelectric cylindrical curved plates", Acta Mech., 198, 171-190 https://doi.org/10.1007/s00707-007-0526-9
  30. Yu, J.G., Wu, B. and Chen, G.Q. (2009), "Wave characteristics in functionally graded piezoelectric hollow cylinders", Arch. Appl. Mech., 79, 807-824. https://doi.org/10.1007/s00419-008-0255-0
  31. Zhang, T.T., Shi, Z.F. and Spencer, B.F. (2008), "Vibration analysis of a functionally graded piezoelectric cylindrical actuator", Smart Mater. Struct., 17, 025018. https://doi.org/10.1088/0964-1726/17/2/025018

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