Eringen’s nonlocal and modified couple stress theories applied to vibrating rotating nanobeams with temperature effects

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.

Keywords:

• Eringen’s nonlocal theory (ENT)
• modified couple stress theory (MCST)
• rotating nanobeam
• thermal effects
• vibrational behavior
• visco-elastic foundation

Data availability statement

This article simulates the response of nanobeams using the model that is fully defined in the article. All of the data required to obtain the results in the article is available in the tables.