The nonlocal multi-directional vibration behaviors of buckled viscoelastic nanoribbons

Abstract

This paper presents the multi-directional vibration behaviors of buckled viscoelastic nanoribbons based on the nonlocal theory containing scale effect, where the Lagrange’s motion equation is introduced to construct the nonlocal viscoelastic governing equation. The first-order transverse vibration mode and the first-order longitudinal vibration mode are considered to study the influences of the scale characteristics on the natural frequency of two different vibration modes. The Kelvin–Voigt model is used to characterize the material viscoelastic property, and an analytical method is presented to solve the nonlocal viscoelastic vibration behaviors of the buckled nanoribbon containing scale effect. Results show that the scale effect could decrease the natural frequency of buckled nanoribbon with viscoelastic behavior, as well as the half bandwidth during forced vibration. The presented results may be taken as a useful reference for the fabrications and applications of buckled nanostructures-based sensors & actuators, electronics, energy harvesters, etc.