In nanoscale structure sizes, the surface-to-bulk energy ratio is high and the surface effects must be taken into account. Surface effect plays a key role in accurately predicting the vibration behavior of nanostructures. In this paper, the wave behaviors of a single-walled carbon nanotube (CNT) conveying fluid are studied. The nonlocal Timoshenko beam theory is used and the surface effect is t...

Analysis of longitudinal vibration in a nanorod is an important subject science and engineering due to its vast application nanotechnology. This paper introduces port-Hamiltonian formulation for the vibrations nanorod, which shows that this model essentially hyperbolic. Furthermore, it investigates spectral properties associated system operator. Standard distributed control feedback are shown n...

Abstract. Here we extend the perturbation approach, previously presented in literature for Eringen’s two-phase local/nonlocal mixture model, to free vibration of purely flexible beams. In particular, expand eigenvalues and eigenvectors into power series fraction coefficient non-local material response up 2nd order. We show that family 0th order bending couples satisfy natural essential boundary...

In this study, a semi analytical method for transverse and axial vibration of single-walled boron nitride nanotube (SWBNNT) under moving a nanoparticle is presented. The surrounding elastic medium as Pasternak foundation and surface stress effect are included in the formulations of the proposed model. Using Timoshenko beam theory (TBT), Hamilton’s principle and nonlocal piezoelasticity theory, ...

In the present work, effect of von Karman geometric nonlinearity on the vibration characteristics of a Y-shaped single walled carbon nanotube (Y-SWCNT) conveying viscose fluid is investigated based on Euler Bernoulli beam (EBB) model. The Y-SWCNT is also subjected to a longitudinal magnetic field which produces Lorentz force in transverse direction. In order to consider the small scale effects,...