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

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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