Frequency, bending and buckling loads of nanobeams with different cross sections

Civalek O., Uzun B. , Yaylı M. Ö.

ADVANCES IN NANO RESEARCH, vol.9, pp.91-104, 2020 (Journal Indexed in SCI) identifier identifier

  • Publication Type: Article / Article
  • Volume: 9
  • Publication Date: 2020
  • Doi Number: 10.12989/anr.2020.9.2.091
  • Title of Journal : ADVANCES IN NANO RESEARCH
  • Page Numbers: pp.91-104
  • Keywords: bending, buckling, vibration, carbon nanotubes, finite element method, nonlocal elasticity theory, Euler-Bernoullibeam theory, FREE-VIBRATION ANALYSIS, NONLOCAL CONTINUUM, SHEAR DEFORMATION, FINITE-ELEMENT, ELASTIC MEDIUM, LONGITUDINAL VIBRATION, CARBON NANOTUBES, DYNAMIC-ANALYSIS, SURFACE STRESS, MICROTUBULES

Abstract

The bending, stability (buckling) and vibration response of nano sized beams is presented in this study based on the Erin gen 's nonlocal elasticity theory in conjunction with the Euler-Bernoulli beam theory. For this purpose, the bending, buckling and vibration problem of Euler-Bemoulli nanobeams are developed and solved on the basis of nonlocal elasticity theory. The effects of various parameters such as nonlocal parameter e (0)alpha, length of beam L, mode number n, distributed load q and cross-section on the bending, buckling and vibration behaviors of carbon nanotubes idealized as Euler-Bernoulli nanobeam is investigated. The transverse deflections, maximum transverse deflections, vibrational frequency and buckling load values of carbon nanotubes are given in tables and graphs.