Nonlinear free vibration of core–shell nanowires with weak interfaces based on a refined nonlocal theory

Fu, Yiming; Zhong, Jun

doi:10.1007/s00707-014-1257-3

Cited by 3 publications

(3 citation statements)

References 33 publications

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“…Substituting Eq. (29) into Eq. (18) and collecting the terms of the same order of  , a set of perturbation equations will be obtained, dealing with these equations can reach the results as…”

Section: Nonlinear Bendingmentioning

confidence: 99%

“…It also takes the interfacial slippage of CSNWs into consideration. Based on this theory, Fu and Zhong [29] developed a refined nonlocal beam model and studied the nonlinear vibration of CSNWs with weak interfaces. This paper puts an investigation on the nonlinear bending and vibration of FGM tubes based on Zhang-Fu beam model resting on elastic foundation in thermal environment.…”

Section: Introductionmentioning

confidence: 99%

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Nonlinear bending and vibration of functionally graded tubes resting on elastic foundations in thermal environment based on a refined beam model

Zhong

Wan

et al. 2016

Applied Mathematical Modelling

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This paper studies the nonlinear bending and vibration problems of functionally graded tubes with temperature-dependent material properties based on a refined beam model. The tubes are exposed to a uniform distributed temperature field and are placed on elastic foundation. The refined beam model for tubes can satisfy the stress boundary conditions on inner and outer surfaces. The governing equations of nonlinear bending and vibration for the functionally graded tubes are derived by using the Hamilton's principle and are solved by introducing a two-step perturbation technique. Some comparisons for bending and vibration are presented to valid the correctness of present beam model and solution method. In numerical results, the effect of transverse shear deformation, the volume fraction, inner radius and elastic foundation stiffness as well as the temperature on the natural frequency, amplitude-frequency responses and nonlinear bending responses are discussed. Keywords Functionally graded tubes, higher-order beam model, nonlinear bending, nonlinear vibration, elastic foundation, thermal environment Recently, a great amount of researches have been carried out to study the mechanical

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Section: Nonlinear Bendingmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Nonlinear bending and vibration of functionally graded tubes resting on elastic foundations in thermal environment based on a refined beam model

Zhong

Wan

et al. 2016

Applied Mathematical Modelling

Self Cite

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“…The influences of nonlocal effect on the thermo-electro-mechanical vibration characteristics of piezoelectric nanoplates have been discussed by Chen Liu et al [ 15 ]. Based on a refined nonlocal theory, dynamical behavior of core-shell nanowires with weak interfaces has been analyzed in [ 16 ]. Numerically, linear optical response of conducting nanostructures was proved to be altered dramatically by nonlocality [ 17 ].…”

Section: Introductionmentioning

confidence: 99%

Nonlinear Dynamics of Silicon Nanowire Resonator Considering Nonlocal Effect

Jin

2017

Nanoscale Res Lett

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In this work, nonlinear dynamics of silicon nanowire resonator considering nonlocal effect has been investigated. For the first time, dynamical parameters (e.g., resonant frequency, Duffing coefficient, and the damping ratio) that directly influence the nonlinear dynamics of the nanostructure have been derived. Subsequently, by calculating their response with the varied nonlocal coefficient, it is unveiled that the nonlocal effect makes more obvious impacts at the starting range (from zero to a small value), while the impact of nonlocal effect becomes weaker when the nonlocal term reaches to a certain threshold value. Furthermore, to characterize the role played by nonlocal effect in exerting influence on nonlinear behaviors such as bifurcation and chaos (typical phenomena in nonlinear dynamics of nanoscale devices), we have calculated the Lyapunov exponents and bifurcation diagram with and without nonlocal effect, and results shows the nonlocal effect causes the most significant effect as the device is at resonance. This work advances the development of nanowire resonators that are working beyond linear regime.

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Parametric-forced coupling resonance of core-shell nanowires with interfacial damage under weak viscoelastic boundary constraint

Jin

Ren

2023

European Journal of Mechanics - A/Solids

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Nonlinear free vibration of core–shell nanowires with weak interfaces based on a refined nonlocal theory

Cited by 3 publications

References 33 publications

Nonlinear bending and vibration of functionally graded tubes resting on elastic foundations in thermal environment based on a refined beam model

Nonlinear bending and vibration of functionally graded tubes resting on elastic foundations in thermal environment based on a refined beam model

Nonlinear Dynamics of Silicon Nanowire Resonator Considering Nonlocal Effect

Parametric-forced coupling resonance of core-shell nanowires with interfacial damage under weak viscoelastic boundary constraint

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