Skip to main content
SpringerLink
Log in
Book cover

Advances in Mechanics of Materials and Structural Analysis pp 365–385Cite as

A Multi-layer Piezocomposite Model and Application on Controlled Smart Structures

  • Chapter
  • First Online:

  • 1408 Accesses

Part of the book series: Advanced Structured Materials ((STRUCTMAT,volume 80))

Abstract

In smart structural applications, multi-layered piezocomposite plates are very common for the study of active control applications. In this paper a finite element formulation is presented to model the static and dynamic response of laminated composite plates containing integrated piezoelectric sensors and actuators subjected to electrical and mechanical loadings. The formulation is based on a third order shear deformation theory and Hamilton’s principle. A nine-noded \(C^0\) plate element is implemented for the analysis. The element was developed to include stiffness and the electromechanical coupling of the piezoelectric sensor/actuator layers. The electric potential is assumed to vary linearly through the thickness for each piezoelectric sublayer. The model is validated by comparing with existing results documented in the literature. A displacement and optimal LQR control algorithm is used for the active control of the static deflection and of the dynamic response of the plates with surface bonded piezoelectric sensors and actuators layers or patches. The main aspects of the application of the present model are discussed through a set of numerical examples.

This is a preview of subscription content, log in via an institution.

Chapter
USD   29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD   84.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD   109.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD   109.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Learn about institutional subscriptions

References

  1. Reddy, J.N.: A simple higher-order theory for laminated composite plate. J. Appl. Mech. 51, 745–752 (1984)

    Article  MATH  Google Scholar 

  2. Kant, T., Mallikarjuna, : A higher-order theory for free vibration of unsymmetrically laminated compositeand sandwich plates- Finite element evaluations. Comp. Struct. 32(2a5), 1125–1132 (1989)

    Google Scholar 

  3. Goswami, S.: A \(C^0\) plate bending element with refined shear deformation theory for composite structures. Compos. Struct. 72, 375–382 (2006)

    Article  Google Scholar 

  4. Lee, S.J., Kim, H.R.: FE analysis of laminated composite plates using a higher order shear deformation theory with assumed strains. Lat. Am. J. Solids Struct. 10, 523–547 (2013)

    Article  Google Scholar 

  5. Hwang, W.S., Park, H.C.: Finite element modelling of piezoelectric sensors and actuators. AIAA J. 31, 930–937 (1993)

    Article  Google Scholar 

  6. Veley D., Rao S.S.: Two-dimensional finite element modeling of composites with embedded piezoelectrics Collection Technical Papers Proceedings of the AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials Conference, vol. 5, pp 2629–2633 (1994)

    Google Scholar 

  7. Tzou, H.S., Ye, R.: Analysis of piezoelastic structures with laminated piezoelectric triangle shell elements. AIAA J. 34, 110–115 (1996)

    Article  MATH  Google Scholar 

  8. Lam, K.Y., Peng, X.Q., Liu, G.R., Reddy, J.N.: A finite-element model for piezoelectric composite laminates. Smart Mater. Struct. 6, 583–591 (1997)

    Article  Google Scholar 

  9. Peng, X.Q., Lam, K.Y., Liu, G.R.: Active vibration control of composite beams with piezoelectric: a finite element model with third order theory. J. Sound Vib. 209, 635–650 (1998)

    Article  Google Scholar 

  10. Chee, C.Y.K., Tong, L., Steven, G.P.: A mixed model for composite beams with piezoelectric actuators and sensors. Smart Mater. Struct. 8, 417–432 (1999)

    Article  Google Scholar 

  11. Wang, S.Y., Quek, S.T., Ang, K.K.: Vibration control of smart piezoelectric composite plates Smart Mater. Struct. 10, 637–644 (2001)

    Google Scholar 

  12. Marinković, D., Köppe, H., Gabbert, U.: Numerically efficient finite element formulation for modeling active composite laminates. Mech. Adv. Mater. Struct. 13(5), 379–379 (2006)

    Article  Google Scholar 

  13. Ray, M.C., Bhattacharyya, R., Samanta, B.: Static analysis of an intelligent structure by the finite element method. Comp. Struc. 52(4), 617–631 (1994)

    Article  MATH  Google Scholar 

  14. Balamurugan, V., Narayanan, S.: A piezoelectric higher-order plate element for the analysis of multi-layer smart composite laminates. Smart Mater. Struct. 16, 2026–2039 (2007)

    Article  Google Scholar 

  15. Kogl, M., Bucalem, M.L.: A family of piezoelectric MITC plate elements. Comput. Struct. 83, 1277–1297 (2005)

    Article  Google Scholar 

  16. Phung-Van, P., De Lorenzis, L., Thai, C.H., Abdel-Wahab, M., Nguyen-Xuan, H.: Analysis of laminated composite plates integrated with piezoelectric sensors and actuators using higher-order shear deformation theory and isogeometric finite elements. Comput. Mater. Sci. 96(Part B), 495–495 (2015)

    Article  Google Scholar 

  17. Dutta, G., Panda, S.K., Mahapatra, T.R., Singh, V.K.: Electro-magneto-elastic response of laminated composite plate: A finite element approach. Intern. J. Appl. Comput. Math. 3(3), 2573–2592 (2017). https://doi.org/10.1007/s40819-016-0256-6

    Article  MathSciNet  Google Scholar 

  18. Kienzler, R.: On Consistent Second-Order Plate Theories. In: Kienzler, R., Ott, I., Altenbach, H. (eds.) Theories of Plates and Shells: Critical Review and New Applications, pp. 85-96, Springer, Berlin (2004). https://doi.org/10.1007/978-3-540-39905-6_11

  19. Schneider, P., Kienzler, R., Böhm, M.: Modeling of consistent second-order plate theories for anisotropic materials. Z. angew. Math. Mech. 94, 21–42 (2014). https://doi.org/10.1002/zamm.201100033

    Article  MathSciNet  MATH  Google Scholar 

  20. Bousahla, A.A., Houari, M.S.A., Tounsi, A., Bedia, E.A.A.: A novel higher order shear and normal deformation theory based on neutral surface position for bending analysis of advanced composite plates. Int. J. Comput. Methods 11(6), 1350082 (2014). https://doi.org/10.1142/S0219876213500825

    Article  MathSciNet  MATH  Google Scholar 

  21. Reddy, N.J.: Mechanics of Laminated Composite Plates: Theory and Analysis, CRC: New York, NY, USA (1997)

    Google Scholar 

  22. Marinaki, M., Marinakis, Y., Stavroulakis, G.E.: Fuzzy control optimized by a multi-objective particle swarm optimization algorithm for vibration suppression of smart structures. Struct. Multidiscip. Optim. 43, 29–42 (2011). https://doi.org/10.1007/s00158-010-0552-4

    Article  MathSciNet  MATH  Google Scholar 

  23. Tairidis, G., Foutsitzi, G., Koutsianitis, P., Stavroulakis, G.E.: Fine tunning of a fuzzy controller for vibration suppression of smart plates using genetic algorithms. Adv. Eng. Softw. 101, 123–135 (2016)

    Article  Google Scholar 

  24. Tairidis, G.,: Optimal design of smart structures with intelligent control. PhD. Thesis, Technical University of Crete, Greece. http://hdl.handle.net/10442/hedi/38484Cited17April2017

  25. Koutsianitis, P., Tairidis, G.K., Drosopoulos, G.A., Foutsitzi, G.A., Stavroulakis, G.E.: Effectiveness of optimized fuzzy controllers on partially delaminated piezocomposites. Acta Mech. 228, 1373–1392 (2017). https://doi.org/10.1007/s00707-016-1771-6

    Article  MathSciNet  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. School of Production Engineering and Management, Institute of Computational Mechanics and Optimization, Technical University of Crete, University Campus, 73100, Chania, Greece

    Georgios Tairidis & Georgios E. Stavroulakis

  2. Department of Accounting and Finance, Technological Educational Institution of Epirus, Preveza, 48100, Greece

    Georgia Foutsitzi

Authors
  1. Georgios Tairidis
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Georgia Foutsitzi
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Georgios E. Stavroulakis
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Georgios E. Stavroulakis .

Editor information

Editors and Affiliations

  1. Institute of Mechanics Faculty of Mechanical Engineering, Otto-von-Guericke-University Magdeburg, Magdeburg, Sachsen-Anhalt, Germany

    Holm Altenbach

  2. Fakultät 5, Abt. 1, Hochschule Bremen, Bremen, Bremen, Germany

    Frank Jablonski

  3. Institut für Mechanik, Technische Universität Berlin, Berlin, Germany

    Wolfgang H. Müller

  4. Institute of Mechanics, Faculty of Mechanical Engineering, Otto-von-Guericke-University Magdeburg, Magdeburg, Sachsen-Anhalt, Germany

    Konstantin Naumenko

  5. Institute for Lightweight Construction and Design (KLuB), Technische Universität Darmstadt, Darmstadt, Germany

    Patrick Schneider

Rights and permissions

Reprints and permissions

Copyright information

© 2018 Springer International Publishing AG

About this chapter

Check for updates. Verify currency and authenticity via CrossMark

Cite this chapter

Tairidis, G., Foutsitzi, G., Stavroulakis, G.E. (2018). A Multi-layer Piezocomposite Model and Application on Controlled Smart Structures. In: Altenbach, H., Jablonski, F., Müller, W., Naumenko, K., Schneider, P. (eds) Advances in Mechanics of Materials and Structural Analysis. Advanced Structured Materials, vol 80. Springer, Cham. https://doi.org/10.1007/978-3-319-70563-7_17

Download citation

  • DOI: https://doi.org/10.1007/978-3-319-70563-7_17

  • Published:

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-70562-0

  • Online ISBN: 978-3-319-70563-7

  • eBook Packages: EngineeringEngineering (R0)

Publish with us

Policies and ethics

Search

Navigation