Guided wave characteristics in functionally graded piezoelectric rings with rectangular cross-sections

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• 作者：J. G. Yu (1) (2)
  Ch. Zhang (2)
  J. E. Lefebvre (3) (4) (5)
  
  1. School of Mechanical and Power Engineering ; Henan Polytechnic University ; Jiaozuo ; 454003 ; People鈥檚 Republic of China
  2. Department of Civil Engineering ; University of Siegen ; 57068 ; Siegen ; Germany
  3. Univ Lille Nord de France ; 59000 ; Lille ; France
  4. UVHC ; IEMN-DOAE ; 59313 ; Valenciennes Cedex 9 ; France
  5. CNRS ; UMR 8520 ; 59650 ; Villeneuve d鈥橝scq ; France
  
• 刊名：Acta Mechanica
• 出版年：2015
• 出版时间：March 2015
• 年：2015
• 卷：226
• 期：3
• 页码：597-609
• 全文大小：1,269 KB
• 参考文献：1. Wu, C.C.M., Kahn, M., Moy, W. (1996) Piezoelectric ceramics with functional gradients: a new application in material design. J. Am. Ceram. Soc. 79: pp. 809-812 class="external" href="http://dx.doi.org/10.1111/j.1151-2916.1996.tb07951.x" target="_blank" title="It opens in new window">CrossRef
  2. Takagi, K., Li, J.F., Yokoyama, S., Watanabe, R. (2003) Fabrication and evaluation of PZT/Pt piezoelectric composites and functionally graded actuators. J. Eur. Ceram. Soc. 23: pp. 1577-1583 class="external" href="http://dx.doi.org/10.1016/S0955-2219(02)00407-7" target="_blank" title="It opens in new window">CrossRef
  3. Zhu, X., Zhu, J., Zhou, S., Li, Q., Liu, Z. (1999) Microstructures of the monomorph piezoelectric ceramic actuators with functional gradients. Sensors Actuators A Phys. 74: pp. 198-202 class="external" href="http://dx.doi.org/10.1016/S0924-4247(98)00315-X" target="_blank" title="It opens in new window">CrossRef
  4. Li, X., Vartuli, J.S., Milius, D.L., Aksay, I.A., Shih, W.Y., Shih, W.H. (2001) Electromechanical properties of a ceramic d31-gradient flextensional actuator. J. Eur. Ceram. Soc. 84: pp. 996-1003 class="external" href="http://dx.doi.org/10.1111/j.1151-2916.2001.tb00781.x" target="_blank" title="It opens in new window">CrossRef
  5. Li, J.F., Takagi, K., Ono, M., Pan, W., Watanabe, R. (2003) Fabrication and evaluation of porous ceramics and porosity-graded piezoelectric actuators. J. Eur. Ceram. Soc. 86: pp. 1094-1098 class="external" href="http://dx.doi.org/10.1111/j.1151-2916.2003.tb03430.x" target="_blank" title="It opens in new window">CrossRef
  6. Chen, Y.H., Ma, J., Li, T. (2004) A functional gradient ceramic monomorph actuator fabricated using electrophoretic deposition. Ceram. Int. 30: pp. 683-687 class="external" href="http://dx.doi.org/10.1016/j.ceramint.2003.08.008" target="_blank" title="It opens in new window">CrossRef
  7. Qui, J., Tani, J., Ueno, T., Morita, T., Takahashi, H., Du, H. (2003) Fabrication and high durability of functionally graded piezoelectric bending actuators. Smart Mater. Struct. 12: pp. 115-121 class="external" href="http://dx.doi.org/10.1088/0964-1726/12/1/313" target="_blank" title="It opens in new window">CrossRef
  8. Jin, D., Meng, Z. (2003) Functionally graded PZT/ZnO piezoelectric composites. J. Mater. Sci. Lett. 22: pp. 971-974 class="external" href="http://dx.doi.org/10.1023/A:1024612929936" target="_blank" title="It opens in new window">CrossRef
  9. Liu, G.R., Tani, J.: Characteristics of wave propagation in functionally gradient piezoelectric material plates and its response analysis: Part 1: Theory, Part 2: Calculation results. Trans. Jpn. Soc. Mech. Eng. Jpn. class="a-plus-plus">57(A), 2122鈥?133 (1991)
  10. Han, X., Liu, G.R. (2003) Elastic waves in a functionally graded piezoelectric cylinder. Smart Mater. Struct. 12: pp. 962-971 class="external" href="http://dx.doi.org/10.1088/0964-1726/12/6/014" target="_blank" title="It opens in new window">CrossRef
  11. Liu, G.R., Dai, K.Y., Han, X., Ohyoshi, T. (2003) Dispersion of waves and characteristic wave surfaces in functionally graded piezoelectric plates. J. Sound Vib. 268: pp. 131-147 class="external" href="http://dx.doi.org/10.1016/S0022-460X(02)01494-3" target="_blank" title="It opens in new window">CrossRef
  12. Chakraborty, A., Roy Mahapatra, D., Gopalakrishnan, S.: Finite element simulation of BAW propagation in inhomogeneous plate due to piezoelectric actuation. In: Lecture Notes in Computer Science, pp. 715鈥?24 (2003)
  13. Chakraborty, A., Gopalakrishnan, S., Kausel, E. (2005) Wave propagation analysis in inhomogeneous piezo-composite layer by the thin-layer method. Int. J. Numer. Methods Eng. 64: pp. 567-598 class="external" href="http://dx.doi.org/10.1002/nme.1375" target="_blank" title="It opens in new window">CrossRef
  14. Roy Mahapatra, D., Singhal, A., Gopalakrishnan, S. (2005) Lamb wave characteristics of thickness-graded piezoelectric IDT. Ultrasonics 43: pp. 736-746 class="external" href="http://dx.doi.org/10.1016/j.ultras.2005.03.011" target="_blank" title="It opens in new window">CrossRef
  15. Hasheminejad, S.M., Alaei-Varnosfaderani, M. (2012) Vibroacoustic response and active control of a fluid-filled functionally graded piezoelectric material composite cylinder. J. Intell. Mater. Syst. Struct. 23: pp. 775-790 class="external" href="http://dx.doi.org/10.1177/1045389X12439637" target="_blank" title="It opens in new window">CrossRef
  16. Li, X.Y., Wang, Z.K., Huang, S.H. (2004) Love waves in functionally graded piezoelectric materials. Int. J. Solids Struct. 41: pp. 7309-7328 class="external" href="http://dx.doi.org/10.1016/j.ijsolstr.2004.05.064" target="_blank" title="It opens in new window">CrossRef
  17. Liu, J., Wang, Z.K. (2005) The propagation behavior of Love waves in a functionally graded layered piezoelectric structure. Smart Mater. Struct. 14: pp. 137-146 class="external" href="http://dx.doi.org/10.1088/0964-1726/14/1/013" target="_blank" title="It opens in new window">CrossRef
  18. Gao, L.M., Wang, J., Zhong, Zh., Du, J.K. (2009) An analysis of surface acoustic wave propagation in functionally graded plates with homotopy analysis method. Acta Mech. 208: pp. 249-258 class="external" href="http://dx.doi.org/10.1007/s00707-009-0143-x" target="_blank" title="It opens in new window">CrossRef
  19. Lefebvre, J.E., Zhang, V., Gazalet, J. (2001) Acoustic wave propagation in continuous functionally graded plates, an extension of the Legendre polynomial approach. IEEE Trans. Ultrason. Ferroelectr. Freq. Control 48: pp. 1332 class="external" href="http://dx.doi.org/10.1109/58.949742" target="_blank" title="It opens in new window">CrossRef
  20. Yu, J.G., Wu, B., Chen, G.Q. (2009) Wave characteristics in functionally graded piezoelectric hollow cylinders. Arch. Appl. Mech. 79: pp. 807-824 class="external" href="http://dx.doi.org/10.1007/s00419-008-0255-0" target="_blank" title="It opens in new window">CrossRef
  21. Du, J.K., Jin, X.Y., Wang, J., Xian, K. (2007) Love wave propagation in functionally graded piezoelectric material layer. Ultrasonics 46: pp. 13-22 class="external" href="http://dx.doi.org/10.1016/j.ultras.2006.09.004" target="_blank" title="It opens in new window">CrossRef
  22. Datta, S., Hunsinger, B.J. (1978) Analysis of surface waves using orthogonal functions. J. Appl. Phys 49: pp. 475-479 class="external" href="http://dx.doi.org/10.1063/1.324670" target="_blank" title="It opens in new window">CrossRef
  23. Yu, J.G., Wu, B., Huo, H.L., He, C.F. (2007) Characteristics of guided waves in anisotropic spherical curved plates. Wave Motion 44: pp. 271-281 class="external" href="http://dx.doi.org/10.1016/j.wavemoti.2006.11.002" target="_blank" title="It opens in new window">CrossRef
  24. Wu, B., Yu, J.G., He, C.F. (2008) Wave propagation in non-homogeneous magneto-electro-elastic plates. J. Sound Vib. 317: pp. 250-264 class="external" href="http://dx.doi.org/10.1016/j.jsv.2008.03.008" target="_blank" title="It opens in new window">CrossRef
  25. Yu, J.G., Wu, B., He, C.F. (2010) Guided thermoelastic waves in functionally graded plates with two relaxation times. Int. J. Eng. Sci. 48: pp. 1709-1720 class="external" href="http://dx.doi.org/10.1016/j.ijengsci.2010.10.002" target="_blank" title="It opens in new window">CrossRef
  26. Yu, J.G. (2011) Viscoelastic shear horizontal wave in graded and layered plates. Int. J. Solids Struct. 48: pp. 2361-2372 class="external" href="http://dx.doi.org/10.1016/j.ijsolstr.2011.04.011" target="_blank" title="It opens in new window">CrossRef
  27. Hayashi, T., Song, W.-J., Rose, J. L. (2003) Guided wave dispersion curves for a bar with an arbitrary cross-section, a rod and rail example. Ultrasonics 41: pp. 175-183 class="external" href="http://dx.doi.org/10.1016/S0041-624X(03)00097-0" target="_blank" title="It opens in new window">CrossRef
  
• 刊物类别：Engineering
• 刊物主题：Theoretical and Applied Mechanics
  Mechanics, Fluids and Thermodynamics
  Continuum Mechanics and Mechanics of Materials
  Structural Mechanics
  Vibration, Dynamical Systems and Control
  Engineering Thermodynamics and Transport Phenomena
  
• 出版者：Springer Wien
• ISSN：1619-6937

文摘

For the purpose of design and optimization of functionally graded piezoelectric material (FGPM) transducers, wave propagation in FGPM structures has received much attention in the past twenty years. But previous research efforts have been focused essentially on semi-infinite structures and one-dimensional structures, i.e., structures with a finite dimension in only one direction, such as horizontally infinite flat plates and axially infinite hollow cylinders. This paper proposes a double orthogonal polynomial series approach to solving the wave propagation problem in a two-dimensional FGPM structure, namely an FGPM ring with a rectangular cross-section. By numerical comparison with the available reference results for a purely elastic homogeneous rectangular rod, the validity of the extended polynomial approach is illustrated. The dispersion curves and the electric potential distributions of various FGPM rectangular rings with different material gradient directions, different polarization directions, different radius to thickness ratios, and different width to thickness ratios are calculated to reveal the guided wave characteristics.