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

doi:10.1007/s10483-023-3031-8

摘要/Abstract

摘要： 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.

关键词: temperature effect, general nonlocal theory (GNT), Kelvin-Voigt model, viscoelastic foundation, wave propagation, rotating viscoelastic nanobeam

Abstract: 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.

Key words: temperature effect, general nonlocal theory (GNT), Kelvin-Voigt model, viscoelastic foundation, wave propagation, rotating viscoelastic nanobeam

中图分类号:

74J99
97M50

A. RAHMANI, S. FAROUGHI, M. SARI. On wave dispersion of rotating viscoelastic nanobeam based on general nonlocal elasticity in thermal environment[J]. Applied Mathematics and Mechanics (English Edition), 2023, 44(9): 1577-1596.

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