Vibro-Electrical Behavior of a Viscoelastic Piezo-Nanowire in an Elastic Substrate Considering Stress Nonlocality and Microstructural Size-Dependent Effects

Year 2019, , 369 - 386, 25.07.2019

Mohammad Malikan

https://doi.org/10.24107/ijeas.567435

Abstract

This research
deals with dynamics response of a Pol/BaTiO₃ nanowire including
viscosity influences. The wire is also impressed by a longitudinal electric
field. Hamilton's principle and Lagrangian strains are employed in conjunction
with a refined higher-order beam theory in order to derive equations of motion.
By combining nonlocality and small size effects of a unique model into the derived
equations, the couple relations which describe nanosize behavior in a small
scale are presented. By employing an analytical approach, the fundamental natural
frequencies are calculated numerically. The important results display that the
effect of internal viscosity and nonlocality whenever the nanowire is very
large are pointless.

Keywords

Dynamics response; Piezo-nanowires; Viscosity; Nonlocal strain gradient theory; Analytical approach

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