International Applied Mechanics

, Volume 55, Issue 3, pp 321–331 | Cite as

Bending Vibrations of Bimorph Piezoceramic Plates of Noncanonical Shape

  • P. Shakeri MobarakehEmail author
  • V. T. Grinchenko
  • B. Soltannia

The superposition method is used to develop an effective method for analytical solution of the problem of the harmonic bending vibrations of parallelogram-shaped bimorph piezoceramic plates. The reduction of infinite series allows deriving a finite-dimensional system of algebraic equations by satisfying given boundary conditions by minimizing the standard deviation and using the collocation method.


bending vibrations piezoceramic plates of noncanonical shape superposition method collocation method standard deviation reduction method natural frequency spectrum 


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© Springer Science+Business Media, LLC, part of Springer Nature 2019

Authors and Affiliations

  • P. Shakeri Mobarakeh
    • 1
    Email author
  • V. T. Grinchenko
    • 2
  • B. Soltannia
    • 3
  1. 1.Taras Shevchenko National University of KyivKyivUkraine
  2. 2.Institute of HydromechanicsNational Academy of Science of UkraineKyivUkraine
  3. 3.University of AlbertaEdmontonCanada

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