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In this study, the force vibration analysis of fluid-conveying single-walled carbon nanotube (SWCNT) with an axial initial stress under harmonic load is performed. Firstly, the governing partial differential equation for the fluid filled SWCNT is derived by the nonlocal Euler-Bernoulli beam model. Secondly, the Galerkin method is applied to discretize the partial differential equation of motion to a second-order linear differential equation. Then, an analytical expression for the problem is obtained, and the improved precise integrator method (IPIM) is carried out to solve the linear differential equation. Finally, the results of this paper verify the IPIM, and the results also show the influence of flow velocity on the dynamic behaviour of fluid-conveying SWCNT with initial stress. This study may be useful for further study of the dynamic properties of fluid-conveying SWCNT and design of nano-devices. |
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Keywords:Dynamic behaviour; Fluid-conveying; Nonlocal Euler-Bernoulli beam theory; Improved precise integrator method; Initial stress |
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