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A Nonlinear Electro-Mechanical Analysis of Nanobeams Based on the Size-Dependent Piezoelectricity Theory

Published online by Cambridge University Press:  11 July 2016

Y. T. Beni
Y. T. Beni*
Affiliation:
Faculty of EngineeringShahrekord UniversityShahrekord, Iran
*
*Corresponding author ([email protected])
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Abstract

Nonlinear formulation of isotropic piezoelectric Euler-Bernoulli nano-beam is developed based on consistent size-dependent piezoelectricity theory. By considering geometrically nonlinear and axial displacement of the centroid of beam sections, basic nonlinear equations of piezoelectric nanobeam are derived using Hamilton's principle and variational method. Afterwards, in the special case for the formulation derived, hinged-hinged piezoelectric nanobeam is studied, and static deflection as well as free vibrations of the nanobeam under mechanical loads is determined. In this case, results of the linear formulation of the size-dependent theory are compared to those of the linear and nonlinear classical continuum theory.

Keywords

Nonlinear analysisPiezoelectricityFlexoelectricityConsistent couple stress theory
Type
Research Article
Information
Journal of Mechanics , Volume 33 , Issue 3 , June 2017 , pp. 289 - 301
Copyright
Copyright © The Society of Theoretical and Applied Mechanics 2017 

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