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Wave propagation generated by piezoelectric actuators attached to elastic substrates

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Summary

Piezoelectric actuators can be used to generate high-frequency elastic waves for damage identification of materials. This paper provides a comprehensive theoretical study of the electromechanical behavior of surface-bonded or embedded piezoelectric actuators under inplane electric fields. A modified one-dimensional actuator model is introduced, from which arbitrarily distributed electric fields along the actuator can be considered. The model is used to simulate the dynamic load transfer between the actuator and the host medium and the resulting elastic wave propagation by using the integral transform method and solving the resulting singular integral equations. Of particular interest is the generated waveform away from the actuator under different electric fields. An asymptotic analysis is conducted to obtain the far-field solution of the wave field. The property of the resulting waveform is studied, and the simulation shows that the direction of wave propagation can be adjusted by controlling the phase distribution of the applied electric field along the actuator.

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References

  • M. V. Gandhi B. S. Thompson (1992) Smart materials and structures Chapman and Hall London

    Google Scholar 

  • C. Chee L. Tong G. P. Steven (1998) ArticleTitleA review on the modeling of piezoelectric sensors and actuators incorporated in intelligent structures J. Intell. Mater. Syst. Struct. 9 3–19 Occurrence Handle10.1177/1045389X9800900101

    Article  Google Scholar 

  • C. Boller (2000) ArticleTitleNext generation structural health monitoring and its integration into aircraft design Int. J. Sys. Sci. 31 1333–1349 Occurrence Handle1080.93513 Occurrence Handle10.1080/00207720050197730

    Article  MATH  Google Scholar 

  • Y. Bar-Cohen (2000) ArticleTitleEmerging NDE technologies and challenges at the beginning of the 3rd millennium – Part I Material Evaluation 58 17–30

    Google Scholar 

  • E. F. Crawley J. Luis Particlede (1987) ArticleTitleUse of piezoelectric actuators as elements of intelligent structures AIAA J. 25 1373–1385 Occurrence Handle10.2514/3.9792

    Article  Google Scholar 

  • E. F. Crawley E. H. Anderson (1990) ArticleTitleDetailed models of piezoelectric actuation of beams J. Intell. Mater. Sys. Struct. 1 4–25

    Google Scholar 

  • M. W. Lin C. A. Rogers (1993) ArticleTitleActuation response of a beam structure with induced strain actuators Adaptive Struct. Mater. Sys. 35 129–139

    Google Scholar 

  • E. K. Dimitriadis C. R. Fuller C. A. Rogers (1991) ArticleTitlePiezoelectric actuators for distributed noise and vibration excitation of thin plates ASME J. Vibr. Acoust. 13 100–107 Occurrence Handle10.1115/1.2930143

    Article  Google Scholar 

  • H. S. Tzou C. I. Tseng (1991) ArticleTitleDistributed vibration control and identification of coupled elastic/piezoelectric systems Mech. Sys. Signal Proc. 5 215–231 Occurrence Handle10.1016/0888-3270(91)90044-6

    Article  Google Scholar 

  • J. A. Mitchell J. N. Reddy (1995) ArticleTitleA study of embedded piezoelectric layers in composite cylinders ASME J. Appl. Mech. 62 166–173 Occurrence Handle0825.73628 Occurrence Handle10.1115/1.2895898

    Article  MATH  Google Scholar 

  • H. T. Banks R. C. Smith (1995) ArticleTitleThe modelling of piezoceramic patch interactions with shells, plates, and beams Qu. Appl. Math. 53 353–381 Occurrence Handle1330657 Occurrence Handle0832.73061

    MathSciNet  MATH  Google Scholar 

  • J. H. Han I. Lee (1998) ArticleTitleAnalysis of composite plates with piezoelectric actuators for vibration control using layerwise displacement theory Composites, Part B 29 519–672 Occurrence Handle10.1016/S1359-8368(98)00027-4

    Article  Google Scholar 

  • X. D. Wang S. A. Meguid (2000) ArticleTitleOn the electroelastic behavior of a thin piezoelectric actuator attached to an infinite host structure Int. J. Solids Struct. 37 3231–3251 Occurrence Handle10.1016/S0020-7683(99)00118-3 Occurrence Handle0992.74033

    Article  MATH  Google Scholar 

  • J. Q. Zhang B. N. Zhang J. H. Fan (2003) ArticleTitleA coupled electromechanical analysis of a piezoelectric layer bonded to an elastic substrate: Part I, development of governing equations Int. J. Solids Struct. 40 6781–6797 Occurrence Handle10.1016/S0020-7683(03)00307-X Occurrence Handle1074.74027

    Article  MATH  Google Scholar 

  • B. N. Zhang J. Q. Zhang J. H. Fan (2003) ArticleTitleA coupled electromechanical analysis of a piezoelectric layer bonded to an elastic substrate: Part II, numerical solution and applications Int. J. Solids Struct. 40 6799–6612 Occurrence Handle10.1016/S0020-7683(03)00312-3 Occurrence Handle1069.74018

    Article  MATH  Google Scholar 

  • K. Y. Choi F. K. Chang (1994) ArticleTitleIdentification of foreign object impact in structures using distributed sensors J. Intell. Mater. Sys. Struct. 5 864–869

    Google Scholar 

  • V. Giurgiutiu C. A. Rogers (1999) ArticleTitleModeling of the electro-mechanical (E/M) impedance response of a damaged composite beam Adaptive Struct. Mater. Sys. 59 39–46

    Google Scholar 

  • V. Giurgiutiu A. Zagrai J. Bao (2002) ArticleTitleEmbedded active sensors for in-situ structural health monitoring of thin-wall structures ASME J. Pressure Vessel Techn. 124 134–145

    Google Scholar 

  • X. D. Wang (1999) ArticleTitleCoupled electromechanical behavior of piezoelectric actuators in smart structures J. Intell. Mater. Sys. Struct. 10 232–241 Occurrence Handle0928.35075 Occurrence Handle10.1106/LBFX-C5WC-1J7K-X1NA

    Article  MATH  Google Scholar 

  • X. D. Wang G. L. Huang (2001) ArticleTitleWave propagation in electromechanical structures induced by surface-bonded piezoelectric actuators J. Intell. Mater. Sys. Struct. 12 105–115 Occurrence Handle10.1177/104538901772664124

    Article  Google Scholar 

  • X. D. Wang G. L. Huang (2001) ArticleTitleWave propagation in electromechanical structures induced by embedded piezoelectric actuators J. Intell. Mater. Sys. Struct. 12 117–125 Occurrence Handle2002g:35142 Occurrence Handle10.1177/104538901772664133

    Article  MathSciNet  Google Scholar 

  • J. D. Achenbach (1973) Wave propagation in elastic solids Amsterdam North-Holland Occurrence Handle0268.73005

    MATH  Google Scholar 

  • S. Park C. T. Sun (1995) ArticleTitleFracture criteria for piezoelectric creamics J. Amer. Ceramics Soc. 78 145–1480

    Google Scholar 

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Wang, X.D., Huang, G.L. Wave propagation generated by piezoelectric actuators attached to elastic substrates. Acta Mechanica 183, 155–176 (2006). https://doi.org/10.1007/s00707-006-0313-z

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  • DOI: https://doi.org/10.1007/s00707-006-0313-z

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