On wave dispersion of rotating viscoelastic nanobeam based on general nonlocal elasticity in thermal environment

• Published in: Applied mathematics and mechanics Vol. 44; no. 9; pp. 1577 - 1596
• Main Authors: Rahmani, A., Faroughi, S., Sari, M.
• Format: Journal Article
• Language: English
• Published: Berlin/Heidelberg Springer Berlin Heidelberg 01.09.2023; Springer Nature B.V; Mechanical Engineering Faculty,Urmia University of Technology,Urmia 5716617165,Iran%Mechanical and Maintenance Engineering Department,German Jordanian University,Amman 11180,Jordan
• Edition: English ed.
• Subjects: Applications of Mathematics; Beam theory (structures); Classical Mechanics; Damping; Equations of motion; Exact solutions; Fluid- and Aerodynamics; Mathematical Modeling and Industrial Mathematics; Mathematics; Mathematics and Statistics; Nonlocal elasticity; Partial Differential Equations; Rotation; Temperature gradients; Thermal environments; Timoshenko beams; Viscoelasticity; Wave dispersion; Wave propagation; 74J99; viscoelastic foundation; wave propagation; rotating viscoelastic nanobeam; Kelvin-Voigt model; 97M50; general nonlocal theory (GNT); O343.6; temperature effect; general nonlocal theory(GNT)
• ISSN: 0253-4827; 1573-2754
• DOI: 10.1007/s10483-023-3031-8

The present research focuses on the analysis of wave propagation on a rotating viscoelastic nanobeam supported on the viscoelastic foundation which is subject to thermal gradient effects. A comprehensive and accurate model of a viscoelastic nanobeam is constructed by using a novel nonclassical mechanical model. Based on the general nonlocal theory (GNT), Kelvin-Voigt model, and Timoshenko beam theory, the motion equations for the nanobeam are obtained. Through the GNT, material hardening and softening behaviors are simultaneously taken into account during wave propagation. An analytical solution is utilized to generate the results for torsional (TO), longitudinal (LA), and transverse (TA) types of wave dispersion. Moreover, the effects of nonlocal parameters, Kelvin-Voigt damping, foundation damping, Winkler-Pasternak coefficients, rotating speed, and thermal gradient are illustrated and discussed in detail.