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- W3198930863 abstract "Fluid-conveying nanotubes are important components in nano-electromechanical systems requiring strict static and dynamic stiffness designs. The nonlinear bending and forced vibration of the fluid-conveying functionally graded nanotubes in pre- and post-buckling states are investigated. Based on Zhang–Fu’s refined displacement field, a comprehensive size-dependent nanotube model is established in which the nonlocal stress, strain gradient and surface energy effect are coupled in the constructive model. The nanotube is assumed simply supported at both ends and subjected to transverse uniform static or harmonic load. The two-step perturbation technique is extended to obtain the post-buckling equilibrium paths, providing the initial configurations for bending and resonance analysis. According to the two symmetric initial bifurcation paths, the bending load–deflection explicit relation is obtained by the two-step perturbation method again. A combination of two-step perturbation and modified Lindstedt–Poincaré method is developed to obtain the approximate analytical solution of the strongly nonlinear forced vibration. Parameter investigations are conducted to discuss the different size-dependent effects, flow velocity and material distributions on the nonlinear behaviors. Results reveal the dual influences of structural size-dependent effects and indicate that the response is more sensitive to the size-dependent effects when the flow velocity is close to the critical buckling velocity. • A higher-order size-dependent beam model coupled with surface energy is established. • Nonlinear bending and principal resonance of fluid-conveying nanotubes in pre- and post-buckling states are studied. • An analytical method for nonlinear principal resonance analysis is developed. • The dual influences of structural size-dependent effects on bending and forced vibration are revealed. • The responses are more sensitive to nano effects when the flow velocity is close to the critical buckling velocity." @default.
- W3198930863 created "2021-09-27" @default.
- W3198930863 creator A5009402084 @default.
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- W3198930863 date "2022-01-01" @default.
- W3198930863 modified "2023-09-29" @default.
- W3198930863 title "Nonlinear size-dependent bending and forced vibration of internal flow-inducing pre- and post-buckled FG nanotubes" @default.
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- W3198930863 doi "https://doi.org/10.1016/j.cnsns.2021.106044" @default.
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