Buckling analysis of a microbeam embedded in an elastic medium with deformable boundary conditions


YAYLI M. Ö.

MICRO & NANO LETTERS, vol.11, no.11, pp.741-745, 2016 (Journal Indexed in SCI) identifier identifier

  • Publication Type: Article / Article
  • Volume: 11 Issue: 11
  • Publication Date: 2016
  • Doi Number: 10.1049/mnl.2016.0257
  • Title of Journal : MICRO & NANO LETTERS
  • Page Numbers: pp.741-745
  • Keywords: buckling, micromechanics, beams (structures), elastic deformation, elasticity, compressibility, Fourier series, buckling analysis, elastically restrained embedded microbeam, elastic medium, deformable boundary conditions, axial compression load, winkler elastic foundation approach, Fourier sine series, microbeam deflections, coefficient matrix, Stokes transformation, COUPLE STRESS THEORY, NONLOCAL ELASTICITY, STABILITY ANALYSIS, CARBON NANOTUBES, MICROSTRUCTURE, VIBRATION, MECHANICS, MODELS

Abstract

The buckling of elastically restrained embedded microbeam under axial compression load is researched. The effects of small size, axial compression load and surrounding elastic medium are taken into account at the same time. Winkler elastic foundation approach is used to simulate the interaction between microbeam and elastic medium. Fourier sine series is employed for the simulation of microbeam deflections. A coefficient matrix is obtained with the aid of applying Stokes' transformation to corresponding boundary conditions. The buckling characteristics of elastically restrained embedded microbeams are investigated in some numerical examples. There are very good agreements between this study and the previous results indicating the validity of the presented method.