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

Applied Mathematics and Mechanics(English Edition) 2023年第9期44卷 1577-1596页

作者： A.RAHMANI S.FAROUGHI M.SARI Mechanical Engineering Faculty Urmia University of TechnologyUrmia ***Iran Mechanical and Maintenance Engineering Department German Jordanian UniversityAmman 11180Jorda

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 *** on the general nonlocal theory(GNT),kelvin-voigt model,and Timoshenko beam theory,the motion equations for the nanobeam are *** the GNT,material hardening and softening behaviors are simultaneously taken into account during wave *** analytical solution is utilized to generate the results for torsional(TO),longitudinal(LA),and transverse(TA)types of wave ***,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

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STABILITY ANALYSIS OF VISCOELASTIC CURVED PIPES CONVEYING FLUID

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Applied Mathematics and Mechanics(English Edition) 2005年第6期26卷 807-813页

作者：王忠民张战午赵凤群 School of Sciences Xi'an University of Technology

Based on the Hamilton' s principle for elastic systems of changing mass, a differential equation of motion for viscoelastic curved pipes conveying fluid was derived using variational method, and the complex characteristic equation for the viscoelastic circular pipe conveying fluid was obtained by normalized power series method. The effects of dimensionless delay time on the variation relationship between dimensionless complex frequency of the clamped-clamped viscoelastic circular pipe conveying fluid with the kelvin-voigt model and dimensionless flow velocity were analyzed. For greater dimensionless delay time, the behavior of the viscoelastic pipe is that the first, second and third mode does not couple, while the pipe behaves divergent instability in the first and second order mode, then single-mode flutter takes place in the first order mode.

关键词： dynamic stability viscoelastic circular pipe conveying fluid kelvin-voigt model power series method

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