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Approximate Evaluations of the Modal Effective Electromechanical Coupling Coefficient

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IUTAM Symposium on Multi-Functional Material Structures and Systems

Part of the book series: IUTAM Bookseries (closed) ((IUTAMBOOK,volume 19))

Abstract

This contribution reviews and derives, in a unified manner using energy concepts, available formulas in the smart structures literature for the approximate evaluation of the modal effective electromechanical coupling coefficient (EMCC). A new approximate formula is then proposed; it has the advantage to use only short-circuit and open-circuit elastic properties of the piezoelectric patches, thus allowing the use of general-purpose structural finite element (FE) codes for the modal effective EMCC approximate evaluation. Besides, it avoids several usual assumptions (similar mode shapes, mass-less patches, etc.). An interpretation of the modal effective EMCC is also given using an analogy with the effective viscoelastic loss factor, allowing also the use of classical FE codes for the modal effective EMCC approximate evaluation.

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References

  1. IEEE (1988) IEEE Standards on piezoelectricity. ANS/IEEE Std 176-1987.

    Google Scholar 

  2. Benjeddou A, Ranger JA (2006) Use of shunted shear-mode piezoceramics for structural vibration passive damping. Comput Struct 84:1415–1425

    Article  Google Scholar 

  3. Chevallier G, Ghorbel S, Benjeddou A (2009) Piezoceramic shunted damping concept: testing, modelling and correlation. Mécanique & Industrie 10:397–411

    Article  Google Scholar 

  4. Al-Ajmi MA, Benjeddou A (2008) Damage indication in smart structures using modal effective electromechanical coupling coefficients. Smart Mater Struct 17:035023 (15pp)

    Article  Google Scholar 

  5. Deü JF, Benjeddou A (2005) Free-vibration analysis of laminated plates with embedded shear-mode piezoceramic layers. Int J Solids Struct 42:2059–2088

    Article  MATH  Google Scholar 

  6. Chevallier G, Ghorbel S, Benjeddou A (2008) A benchmark for free vibration and effective coupling of thick piezoelectric smart structures. Smart Mater Struct 17:065007 (11pp)

    Article  Google Scholar 

  7. Trindade MA, Benjeddou A (2009) Effective electromechanical coupling coefficients of piezoelectric adaptive structures: critical evaluation and optimization. Mech Adv Mater Struct 16: 210–223

    Article  Google Scholar 

  8. Naillon M, Coursant RH, Besnier F (1983) Analyse de structures piézoélectriques par une méthode d’éléments finis. Acta Electron 25:341–362

    Google Scholar 

  9. Hagood NW, von Flotow A (1991) Damping of structural vibrations with piezoelectric materials and passive electrical networks. J. Sound Vib 146:243–268

    Article  Google Scholar 

  10. Hollkamp JJ (1994) Multimodal passive vibration suppression with piezoelectric materials and resonant shunts. J Intell Mater Syst Struct 5:49–57

    Article  Google Scholar 

  11. Hollkamp JJ (1994) A self-tuning piezoelectric vibration absorber. J Intell Mater Syst Struct 5:559–566

    Article  Google Scholar 

  12. Hollkamp JJ, Gordon RW (1996) An experimental comparison of piezoelectric and constrained layer damping. Smart Mater Struct 5:715–722

    Article  Google Scholar 

  13. Agnes G (1995) Development of a modal model for simultaneous active and passive piezoelectric vibration suppression. J Intell Mater Syst Struct 6:482–487

    Article  Google Scholar 

  14. Agnes G, Inman DJ (1996) Non linear piezoelectric vibration absorbers. Smart Mater Struct 5: 704–714

    Article  Google Scholar 

  15. Viana FAC, Steffen V (2006) Multimodal vibration damping through piezoelectric patches and optimal resonant shunt circuits. J Braz Soc Mech Sci Eng 28: 293–310

    Article  Google Scholar 

  16. Preumont A, de Marneffe B, Deraemaeker A, Bossens F (2008) The damping of a truss structures with a piezoelectric transducer. Comput Struct 86:227–239

    Article  Google Scholar 

  17. Benjeddou A, Ranger JA (2005) Simple finite element modeling and performance evaluation of passive vibration damping using shunted piezoceramics. In Proc 1st Int Congr Des Model Mech Syst (Hammamet, Tunisia)

    Google Scholar 

  18. Benjeddou A, Vijayakumar S, Tawfiq I (2006) A new damage identification and quantification indicator for piezoelectric advanced composites. In Proc III Europ Conf Comput Mech.: Solids Struct Coupl Prob Eng (Lisbon, Portugal)

    Google Scholar 

  19. Benjeddou A (2006) First use of the shear piezoceramics and effective electromechanical coupling coefficient for damage detection and characterization. In Proc. III Europ Workshop Struct Health Monitoring (Granada, Spain)

    Google Scholar 

  20. Park CH, Kim YH, Park HC (2005) Dynamic formulations of plates with shunted piezoelectric materials. J Intell Mater Syst Struct 16:971–976

    Article  Google Scholar 

  21. Ulitko (1977) Theory of electromechanical energy conversion in non uniform deformable piezoceramics. Soviet Appl Mech (cover-to-cover translation of Prikl Mekh) 13:1055–1062

    Google Scholar 

  22. Trindade A, Maio CEB (2008) Multimodal passive vibration control of sandwich beams with shunted shear piezoelectric materials. Smart Mater Struct 17:055015 (10pp)

    Article  Google Scholar 

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Author information

Authors and Affiliations

  1. Supméca – Paris Structures, 3 rue Fernand Hainaut, 93407, Saint Ouen CEDEX, France

    Ayech Benjeddou

Authors
  1. Ayech Benjeddou
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Correspondence to Ayech Benjeddou .

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Editors and Affiliations

  1. Dept. Aerospace Engineering, Indian Institute of Science, Bangalore, 560012, India

    B. Dattaguru

  2. New Housing Colony NE 103, Bangalore, 560012, India

    Srinivasan Gopalakrishnan

  3. Dept. Electrical Communication, Engineering, Indian Institute of Science, Bangalore, 560 012, India

    V. K. Aatre

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Benjeddou, A. (2010). Approximate Evaluations of the Modal Effective Electromechanical Coupling Coefficient. In: Dattaguru, B., Gopalakrishnan, S., Aatre, V. (eds) IUTAM Symposium on Multi-Functional Material Structures and Systems. IUTAM Bookseries (closed), vol 19. Springer, Dordrecht. https://doi.org/10.1007/978-90-481-3771-8_31

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  • DOI: https://doi.org/10.1007/978-90-481-3771-8_31

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  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-90-481-3770-1

  • Online ISBN: 978-90-481-3771-8

  • eBook Packages: EngineeringEngineering (R0)

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