Wave Propagation Analysis in Kelvin-Voigt Visco-Elastic Rotating Nano-Beams Using General Nonlocal Elasticity Resting on Elastic Foundation

In this work, a comprehensive wave propagation analysis is performed on rotating viscoelastic nanobeams resting on viscoelastic Winkler-Pasternak foundations. Here, a novel non-classical mechanical model is developed to describe accurate wave propagation behavior for viscoelastic nanobeams. In fact, to capture both hardening and softening behaviors of materials during wave propagation, general nonlocal theory (GNT) is applied to establish the governing motion of equations. Unlike Eringen’s nonlocal theory, general nonlocal theory employs two different nonlocal parameters refers to normal and shear strains. Also, Kelvin-Voigt model along with Timoshenko beam theory are considered to extract the equations and analytical solution is employed to make the results. The results are obtained for longitudinal (LA), torsional (TO) and transverse (TA) types of wave propagations. Moreover, the effects of nonlocal parameters, Kelvin-Voigt damping, foundation damping, Winkler-Pasternak coefficients and rotating velocity are illustrated and discussed in details especially for TO and TA types of wave propagation. The results show the effect of each of the mentioned parameters on the frequency for all types of wave propagation.