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Structural Engineering and Mechanics
  Volume 65, Number 4, February25 2018 , pages 435-445
DOI: https://doi.org/10.12989/sem.2018.65.4.435
 


Thermo-mechanical vibration analysis of nonlocal flexoelectric/piezoelectric beams incorporating surface effects
Farzad Ebrahimi and Mohammad Reza Barati

 
Abstract
    This paper is concerned with thermo-mechanical vibration behavior of flexoelectric/piezoelectric nanobeams under uniform and linear temperature distributions. Flexoelectric/piezoelectric nanobeams have higher natural frequencies compared to conventional piezoelectric ones, especially at lower thicknesses. Both nonlocal and surface effects are considered in the analysis of flexoelectric/piezoelectric nanobeams for the first time. Hamilton\'s principle is employed to derive the governing equations and the related boundary conditions which are solved applying a Galerkin-based solution. Comparison study is also performed to verify the present formulation with those of previous data. Numerical results are presented to investigate the influences of the flexoelectricity, nonlocal parameter, surface elasticity, temperature rise, beam thickness and various boundary conditions on the vibration frequencies of thermally affected flexoelectric/piezoelectric nanobeam.
 
Key Words
    vibration; flexoelectric/piezoelectric nanobeam; surface effect; nonlocal elasticity theory
 
Address
Farzad Ebrahimi and Mohammad Reza Barati: Department of Mechanical Engineering, Faculty of Engineering, Imam Khomeini International University, Qazvin, P.O.B. 16818-34149, Iran
 

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