Use of Minimum Potential Energy to Analyze a Piezoelectric Beam

  • Jack R. Vinson
Part of the Solid Mechanics and Its Applications book series (SMIA, volume 120)


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20.2 References

  1. 20.1.
    Arters, J.T. Master’s Thesis, Mechanical Engineering, University of Delaware, forthcoming.Google Scholar
  2. 20.2.
    Abramovich, H. (2003) Piezoelectric Actuation for Smart Sandwich Structures — Closed Form Solutions, Journal of Sandwich Structures and Materials, Vol. 5, October, pp. 377–396.Google Scholar
  3. 20.3.
    Abramovich, H. (1998) Deflection Control of Laminated Composite Beams with Piezoceramic Layers — Closed Form Solutions, Composite Structures, Vol. 43, pp. 217–231.CrossRefGoogle Scholar
  4. 20.
    Aldraihem, O.J. and Khdeir, A.A. (2000) Smart Beams with Extension and Thickness-Shear Piezoelectric Actuators, Smart Material Structures, Vol. 9, pp. 1–9.CrossRefGoogle Scholar
  5. 20.5.
    Eisenberger, M. and Abramovich, H. (1997) Shape Control of Non-Symmetric Piezolaminated Composite Beams, Composite Structures, Vol. 38, No. 1–4, pp. 565–571.CrossRefGoogle Scholar
  6. 20.6.
    Azzouz, M.S., Mei, C., Bevan, J.S. and Ro, J.J. (2001) Finite Element Modeling of MFC/AFC Actuators and Performance of MFC, Journal of Intelligent Material Systems and Structures, Vol. 12, September, pp. 601–612.CrossRefGoogle Scholar
  7. 20.7.
    Abramovich, H. and Pletner, B. (1997) Actuation and Sensing of Piezolaminated Sandwich Type Structures, Composite Structures, Vol. 38, No. 1–4, pp. 17–27.CrossRefGoogle Scholar
  8. 20.8.
    Donthireddy, P. and Chandrashekhara, K. (1996) Modeling and Shape Control of Composite Beams with Embedded Piezoelectric Actuators, Composite Structures, Vol. 35, pp. 237–244.CrossRefGoogle Scholar

Copyright information

© Springer 2005

Authors and Affiliations

  • Jack R. Vinson
    • 1
  1. 1.Center for Composite Materials and College of Marine Studies, Department of Mechanical Engineering, Spencer LaboratoryUniversity of DelawareNewarkUSA

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