Static and free vibration analysis of carbon nano wires based on Timoshenko beam theory using differential quadrature method

Abstract

Static and free vibration analysis of carbon nano wires with rectangular cross section based on Timoshenko beam theory is studied in this research. Differential quadrature method (DQM) is employed to solve the governing equations. From the knowledge of author, it is the first time that free vibration of nano wires is investigated. It is also the first time that differential quadrature method is used for bending analysis of nano wires.

Bending of CNTs Under The Partial Uniform Load

“…Static and buckling analysis of cantilever CNTs carried out by Civalek and Demir [12] using nonlocal Euler-Bernoulli beam model. Janghorban [13] conducted the static and free vibration analysis of carbon nanowires modelled by using Timoshenko beam theory. Differential quadrature method was used in solution process of governing equations.…”

Investigating Bulk Waves in Orthotropic Rectangular Nanoplates Based on Three Dimensional Elasticity Theory and Nonlocal Elasticity Theory

“…Clearly, size effects cannot be ignored in studies of wave propagation on nanoplates. It would be interesting to extend the results in this paper to cylindrical coordinates, to describe wave propagation in nanotubes and nanowires [27][28][29].…”