On wave propagation of rotating viscoelastic nanobeams with temperature effects by using modified couple stress-based nonlocal Eringen's theory

In the current research, a comprehensive wave propagation analysis is performed on rotating viscoelastic nanobeams resting on Winkler-Pasternak foundations under thermal effects. Here, a novel non-classical mechanical model is developed to describe accurate wave propagation behavior for viscoelastic nanobeams. Employing nonlocal Eringen's theory along with modified couple stress theory, our proposed model, for the first time, simultaneously takes into account particle interactions and size dependency effects in nanobeams during wave propagation. To capture both hardening and softening behaviors of materials during wave propagation, nonlocal Eringen's theory and modified couple stress theories are merged. As a higher-order shear deformation theory, Reddy's beam theory (RBT) is adopted to develop motion equations for nanobeams, which are then analytically solved to obtain numerical results. The results are illustrated for all torsional (TO), transverse (TA) and longitudinal (LA) wave propagation patterns are comprehensively discussed in detail. Finally, the effects of nonlocal parameter to length scale ratios, Winkler-Pasternak coefficients, thermal gradient, slenderness ratios and rotating velocity of viscoelastic nanobeam are investigated and discussed.