Eringen's Nonlocal and Modified Couple Stress Theories Applied to Vibrating Rotating Nanobeams with Temperature Effects

A Rahmani, S Faroughi (Urmia University of Technology, Iran), MI Friswell (Swansea University) & A Babaei (University of Kentucky, USA)

Mechanics of Advanced Materials and Structures, Vol. 29, No. 26, 2022, pp. 4813-4838

Abstract

This study develops a comprehensive vibrational analysis of rotating nanobeams on visco-elastic foundations with thermal effects based on the modified couple stress and Eringen's nonlocal elasticity theories. This approach accurately simulates the nonlocal stress and size effects. Higher-order shear deformation beam theory and the generalized differential quadrature method are used to obtain the numerical results. The effects of nonlocal parameters, length scale, Winkler-Pasternak coefficients, thermal gradient, slenderness ratios, rotating velocity and viscoelastic coefficient are demonstrated and discussed in detail. Mode switching and the importance of the correct choice of theory and associated size effect parameters are highlighted.

Paper Availability

This material has been published in Mechanics of Advanced Materials and Structures, Vol. 29, No. 26, 2022, pp. 4813-4838. Unfortunately the copyright agreement with Taylor & Francis does not allow for the PDF file of the paper to be available on this website.


Link to paper using doi: 10.1080/15376494.2021.1939468

Link to Mechanics of Advanced Materials and Structures