Publication:
Size-dependent nonlinear stability response of perforated nano/microbeams via fourier series

No Thumbnail Available

Date

2023-10-20

Authors

YAYLI, MUSTAFA ÖZGÜR
Uzun, Büşra

Authors

Civalek, Ömer

Journal Title

Journal ISSN

Volume Title

Publisher

Springer

Research Projects

Organizational Units

Journal Issue

Abstract

In this work, perforated and restrained nanobeams with deformable boundary conditions are modeled based on the non-local strain gradient elasticity theory with the elastic medium effect. In this approach in which the Fourier infinite series and Stokes' transformation are used together, the nanobeam is detached into parts from the two boundary points with the main part. Then using elastic force boundary conditions, a system of linear equations in terms of nonlinearity, elastic medium parameter, spring coefficients and small size effects are derived and the eigenvalue solution of these equations is also presented. The nonlinear stability of restrained nanobeam is examined and the effects of size parameters, perforation and elastic spring coefficients are studied. To reveal the accuracy and effectiveness of the offered model, several numerical applications are solved for the nonlinear stability response of restrained nanobeams with elastic medium effects. The outcomes of this method validated that the presented approach is appropriate for the stability behavior of rigid and restrained nanobeams with perforated cross section.

Description

Keywords

Free-vibration analysis, Postbuckling analysis, Buckling analysis, Dynamic-analysis, Elasticity, Nanotubes, Stress, Beam, Porosity, Perforated nano/microbeam, Non-local strain gradient, Nonlinear analysis, Stability, Science & technology, Technology, Mechanics

Citation

Collections

0

Views

0

Downloads

Search on Google Scholar