Carbon nanotubes (CNTs) have attracted growing interest because of their remarkable mechanical and physical properties leading to many potential applications. Recent researches have shown that CNTs may hold scientific promise in nanotechnology as nanopipes conveying fluids. In this work, approximate Fluegge shell equations are proposed as the governing equations of vibration to analyze vibrational properties of CNTs. The double walled-nanotubes (DWNTs) are considered as two-shell model coupled together through the van der Waals (vdW) interaction between two adjacent nanotubes. Based on the present theoretical approach, we investigated the influences of parameters, such as mass density of fluids and vibrational modes, on the vibrational properties in DWNTs.
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